{VERSION 5 0 "IBM INTEL NT" "5.0" } {USTYLETAB {CSTYLE "Maple Input" -1 0 "Courier" 0 1 255 0 0 1 0 1 0 0 1 0 0 0 0 1 }{CSTYLE "2D Math" -1 2 "Times" 0 1 0 0 0 0 0 0 2 0 0 0 0 0 0 1 }{CSTYLE "2D Comment" 2 18 "" 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 1 } {CSTYLE "2D Output" 2 20 "" 0 1 0 0 255 1 0 0 0 0 0 0 0 0 0 1 } {CSTYLE "" 0 21 "" 0 1 0 0 0 1 0 0 0 0 2 0 0 0 0 1 }{CSTYLE "" -1 256 "" 0 1 0 0 0 0 1 0 0 0 0 0 0 0 0 0 }{CSTYLE "" -1 257 "" 0 1 0 0 0 0 1 0 0 0 0 0 0 0 0 0 }{CSTYLE "" -1 258 "" 0 1 0 0 0 0 1 0 0 0 0 0 0 0 0 0 }{CSTYLE "" -1 259 "" 0 1 0 0 0 0 1 0 0 0 0 0 0 0 0 0 }{CSTYLE "" -1 260 "" 0 1 0 0 0 0 1 0 0 0 0 0 0 0 0 0 }{CSTYLE "" -1 261 "" 0 1 0 0 0 0 1 0 0 0 0 0 0 0 0 0 }{CSTYLE "" -1 262 "" 0 1 0 0 0 0 1 0 0 0 0 0 0 0 0 0 }{CSTYLE "" -1 263 "" 0 1 0 0 0 0 1 0 0 0 0 0 0 0 0 0 } {CSTYLE "" -1 264 "" 0 1 0 0 0 0 1 0 0 0 0 0 0 0 0 0 }{CSTYLE "" -1 265 "" 0 1 0 0 0 0 1 0 0 0 0 0 0 0 0 0 }{CSTYLE "" -1 266 "" 0 1 0 0 0 0 1 0 0 0 0 0 0 0 0 0 }{CSTYLE "" -1 267 "" 0 1 0 0 0 0 1 0 0 0 0 0 0 0 0 0 }{CSTYLE "" -1 268 "" 0 1 0 0 0 0 1 0 0 0 0 0 0 0 0 0 } {CSTYLE "" -1 269 "" 0 1 0 0 0 0 1 0 0 0 0 0 0 0 0 0 }{CSTYLE "" -1 270 "" 0 1 0 0 0 0 1 0 0 0 0 0 0 0 0 0 }{CSTYLE "" -1 271 "" 0 1 0 0 0 0 1 0 0 0 0 0 0 0 0 0 }{CSTYLE "" -1 272 "" 0 1 0 0 0 0 1 0 0 0 0 0 0 0 0 0 }{CSTYLE "" -1 273 "" 0 1 0 0 0 0 1 0 0 0 0 0 0 0 0 0 } {CSTYLE "" -1 274 "" 0 1 0 0 0 0 1 0 0 0 0 0 0 0 0 0 }{CSTYLE "" -1 275 "" 0 1 0 0 0 0 1 0 0 0 0 0 0 0 0 0 }{CSTYLE "" -1 276 "" 0 1 0 0 0 0 1 0 0 0 0 0 0 0 0 0 }{CSTYLE "" -1 277 "" 0 1 0 0 0 0 1 0 0 0 0 0 0 0 0 0 }{CSTYLE "" -1 278 "" 0 1 0 0 0 0 1 0 0 0 0 0 0 0 0 0 } {CSTYLE "" -1 279 "" 0 1 0 0 0 0 1 0 0 0 0 0 0 0 0 0 }{CSTYLE "" -1 280 "" 0 1 0 0 0 0 1 0 0 0 0 0 0 0 0 0 }{CSTYLE "" -1 281 "" 0 1 0 0 0 0 1 0 0 0 0 0 0 0 0 0 }{CSTYLE "" -1 282 "" 0 1 0 0 0 0 1 0 0 0 0 0 0 0 0 0 }{CSTYLE "" -1 283 "" 0 1 0 0 0 0 1 0 0 0 0 0 0 0 0 0 } {CSTYLE "" -1 284 "" 0 1 0 0 0 0 1 0 0 0 0 0 0 0 0 0 }{CSTYLE "" -1 285 "" 0 1 0 0 0 0 1 0 0 0 0 0 0 0 0 0 }{CSTYLE "" -1 286 "" 0 1 0 0 0 0 1 0 0 0 0 0 0 0 0 0 }{CSTYLE "" -1 287 "" 0 1 0 0 0 0 1 0 0 0 0 0 0 0 0 0 }{CSTYLE "" -1 288 "" 0 1 0 0 0 0 1 0 0 0 0 0 0 0 0 0 } {CSTYLE "" -1 289 "" 0 1 0 0 0 0 1 0 0 0 0 0 0 0 0 0 }{CSTYLE "" -1 290 "" 0 1 0 0 0 0 1 0 0 0 0 0 0 0 0 0 }{CSTYLE "" -1 291 "" 0 1 0 0 0 0 1 0 0 0 0 0 0 0 0 0 }{CSTYLE "" -1 292 "" 0 1 0 0 0 0 1 0 0 0 0 0 0 0 0 0 }{CSTYLE "" -1 293 "" 0 1 0 0 0 0 1 0 0 0 0 0 0 0 0 0 } {CSTYLE "" -1 294 "" 0 1 0 0 0 0 1 0 0 0 0 0 0 0 0 0 }{CSTYLE "" -1 295 "" 0 1 0 0 0 0 1 0 0 0 0 0 0 0 0 0 }{CSTYLE "" -1 296 "" 0 1 0 0 0 0 1 0 0 0 0 0 0 0 0 0 }{CSTYLE "" -1 297 "" 0 1 0 0 0 0 1 0 0 0 0 0 0 0 0 0 }{CSTYLE "" -1 298 "" 0 1 0 0 0 0 1 0 0 0 0 0 0 0 0 0 } {CSTYLE "" -1 299 "" 0 1 0 0 0 0 1 0 0 0 0 0 0 0 0 0 }{CSTYLE "" -1 300 "" 0 1 0 0 0 0 1 0 0 0 0 0 0 0 0 0 }{CSTYLE "" -1 301 "" 0 1 0 0 0 0 1 0 0 0 0 0 0 0 0 0 }{CSTYLE "" -1 302 "" 0 1 0 0 0 0 0 1 0 0 0 0 0 0 0 0 }{CSTYLE "" -1 303 "" 0 1 0 0 0 0 0 1 0 0 0 0 0 0 0 0 } {CSTYLE "" -1 304 "" 0 1 0 0 0 0 0 1 0 0 0 0 0 0 0 0 }{CSTYLE "" -1 305 "" 0 1 0 0 0 0 0 1 0 0 0 0 0 0 0 0 }{CSTYLE "" -1 306 "" 0 1 0 0 0 0 0 1 0 0 0 0 0 0 0 0 }{CSTYLE "" -1 307 "" 0 1 0 0 0 0 0 1 0 0 0 0 0 0 0 0 }{CSTYLE "" -1 308 "" 0 1 0 0 0 0 0 1 0 0 0 0 0 0 0 0 } {CSTYLE "" -1 309 "" 0 1 0 0 0 0 0 1 0 0 0 0 0 0 0 0 }{CSTYLE "" -1 310 "" 0 1 0 0 0 0 0 1 0 0 0 0 0 0 0 0 }{CSTYLE "" -1 311 "" 1 12 0 0 0 0 0 2 0 0 0 0 0 0 0 0 }{CSTYLE "" -1 312 "" 1 12 0 0 0 0 0 2 0 0 0 0 0 0 0 0 }{CSTYLE "" -1 313 "" 1 12 0 0 0 0 0 2 0 0 0 0 0 0 0 0 } {CSTYLE "" -1 314 "" 0 1 0 0 0 0 1 0 0 0 0 0 0 0 0 0 }{CSTYLE "" -1 315 "" 0 1 0 0 0 0 1 0 0 0 0 0 0 0 0 0 }{CSTYLE "" -1 316 "" 0 1 0 0 0 0 1 0 0 0 0 0 0 0 0 0 }{CSTYLE "" -1 317 "" 0 1 0 0 0 0 1 0 0 0 0 0 0 0 0 0 }{CSTYLE "" -1 318 "" 0 1 0 0 0 0 1 0 0 0 0 0 0 0 0 0 } {CSTYLE "" -1 319 "" 0 1 0 0 0 0 1 0 0 0 0 0 0 0 0 0 }{CSTYLE "" -1 320 "" 0 1 0 0 0 0 1 0 0 0 0 0 0 0 0 0 }{CSTYLE "" -1 321 "" 0 1 0 0 0 0 1 0 0 0 0 0 0 0 0 0 }{CSTYLE "" -1 322 "" 0 1 0 0 0 0 1 0 0 0 0 0 0 0 0 0 }{CSTYLE "" -1 323 "" 0 1 0 0 0 0 1 0 0 0 0 0 0 0 0 0 } {CSTYLE "" -1 324 "" 0 1 0 0 0 0 1 0 0 0 0 0 0 0 0 0 }{CSTYLE "" -1 325 "" 0 1 0 0 0 0 1 0 0 0 0 0 0 0 0 0 }{CSTYLE "" -1 326 "" 0 1 0 0 0 0 1 0 0 0 0 0 0 0 0 0 }{CSTYLE "" -1 327 "" 0 1 0 0 0 0 1 0 0 0 0 0 0 0 0 0 }{CSTYLE "" -1 328 "" 0 1 0 0 0 0 1 0 0 0 0 0 0 0 0 0 } {CSTYLE "" -1 329 "" 0 1 0 0 0 0 1 0 0 0 0 0 0 0 0 0 }{CSTYLE "" -1 330 "" 0 1 0 0 0 0 1 0 0 0 0 0 0 0 0 0 }{CSTYLE "" -1 331 "" 0 1 0 0 0 0 1 0 0 0 0 0 0 0 0 0 }{CSTYLE "" -1 332 "" 1 12 0 0 0 0 0 2 0 0 0 0 0 0 0 0 }{CSTYLE "" -1 333 "" 0 1 0 0 0 0 1 0 0 0 0 0 0 0 0 0 } {CSTYLE "" -1 334 "" 0 1 0 0 0 0 1 0 0 0 0 0 0 0 0 0 }{CSTYLE "" -1 335 "" 0 1 0 0 0 0 1 0 0 0 0 0 0 0 0 0 }{CSTYLE "" -1 336 "" 0 1 0 0 0 0 1 0 0 0 0 0 0 0 0 0 }{CSTYLE "" -1 337 "" 0 1 0 0 0 0 1 0 0 0 0 0 0 0 0 0 }{CSTYLE "" -1 338 "" 0 1 0 0 0 0 1 0 0 0 0 0 0 0 0 0 } {CSTYLE "" -1 339 "" 0 1 0 0 0 0 1 0 0 0 0 0 0 0 0 0 }{CSTYLE "" -1 340 "" 0 1 0 0 0 0 1 0 0 0 0 0 0 0 0 0 }{CSTYLE "" -1 341 "" 0 1 0 0 0 0 1 0 0 0 0 0 0 0 0 0 }{CSTYLE "" -1 342 "" 1 12 0 0 0 0 1 2 0 0 0 0 0 0 0 0 }{CSTYLE "" -1 343 "" 0 1 0 0 0 0 1 0 0 0 0 0 0 0 0 0 } {CSTYLE "" -1 344 "" 1 12 0 0 0 0 1 2 0 0 0 0 0 0 0 0 }{CSTYLE "" -1 345 "" 1 12 0 0 0 0 0 2 0 0 0 0 0 0 0 0 }{CSTYLE "" -1 346 "" 1 12 0 0 0 0 1 2 0 0 0 0 0 0 0 0 }{CSTYLE "" -1 347 "" 0 1 0 0 0 0 1 0 0 0 0 0 0 0 0 0 }{CSTYLE "" -1 348 "" 0 1 0 0 0 0 1 0 0 0 0 0 0 0 0 0 } {CSTYLE "" -1 349 "" 0 1 0 0 0 0 1 0 0 0 0 0 0 0 0 0 }{CSTYLE "" -1 350 "" 0 1 0 0 0 0 1 0 0 0 0 0 0 0 0 0 }{CSTYLE "" -1 351 "" 0 1 0 0 0 0 1 0 0 0 0 0 0 0 0 0 }{CSTYLE "" -1 352 "" 0 1 0 0 0 0 1 0 0 0 0 0 0 0 0 0 }{CSTYLE "" -1 353 "" 0 1 0 0 0 0 1 0 0 0 0 0 0 0 0 0 } {CSTYLE "" -1 354 "" 0 1 0 0 0 0 1 0 0 0 0 0 0 0 0 0 }{CSTYLE "" -1 355 "" 0 1 0 0 0 0 1 0 0 0 0 0 0 0 0 0 }{CSTYLE "" -1 356 "" 0 1 0 0 0 0 1 0 0 0 0 0 0 0 0 0 }{CSTYLE "" -1 357 "" 0 1 0 0 0 0 1 0 0 0 0 0 0 0 0 0 }{CSTYLE "" -1 358 "" 0 1 0 0 0 0 1 0 0 0 0 0 0 0 0 0 } {CSTYLE "" -1 359 "" 0 1 0 0 0 0 1 0 0 0 0 0 0 0 0 0 }{CSTYLE "" -1 360 "" 0 1 0 0 0 0 1 0 0 0 0 0 0 0 0 0 }{CSTYLE "" -1 361 "" 1 12 0 0 0 0 1 2 0 0 0 0 0 0 0 0 }{CSTYLE "" -1 362 "" 1 12 0 0 0 0 0 2 0 0 0 0 0 0 0 0 }{CSTYLE "" -1 363 "" 1 12 0 0 0 0 1 2 0 0 0 0 0 0 0 0 } {CSTYLE "" -1 364 "" 1 12 0 0 0 0 0 2 0 0 0 0 0 0 0 0 }{CSTYLE "" -1 365 "" 0 1 0 0 0 0 1 0 0 0 0 0 0 0 0 0 }{CSTYLE "" -1 366 "" 0 1 0 0 0 0 1 0 0 0 0 0 0 0 0 0 }{CSTYLE "" -1 367 "" 0 1 0 0 0 0 1 0 0 0 0 0 0 0 0 0 }{CSTYLE "" -1 368 "" 0 1 0 0 0 0 1 0 0 0 0 0 0 0 0 0 } {CSTYLE "" -1 369 "" 0 1 0 0 0 0 1 0 0 0 0 0 0 0 0 0 }{CSTYLE "" -1 370 "" 0 1 0 0 0 0 1 0 0 0 0 0 0 0 0 0 }{CSTYLE "" -1 371 "" 0 1 0 0 0 0 1 0 0 0 0 0 0 0 0 0 }{CSTYLE "" -1 372 "" 0 1 0 0 0 0 1 0 0 0 0 0 0 0 0 0 }{CSTYLE "" -1 373 "" 0 1 0 0 0 0 1 0 0 0 0 0 0 0 0 0 } {CSTYLE "" -1 374 "" 0 1 0 0 0 0 1 0 0 0 0 0 0 0 0 0 }{CSTYLE "" -1 375 "" 0 1 0 0 0 0 1 0 0 0 0 0 0 0 0 0 }{CSTYLE "" -1 376 "" 1 12 0 0 0 0 1 2 0 0 0 0 0 0 0 0 }{CSTYLE "" -1 377 "" 1 12 0 0 0 0 0 2 0 0 0 0 0 0 0 0 }{CSTYLE "" -1 378 "" 0 1 0 0 0 0 1 0 0 0 0 0 0 0 0 0 } {CSTYLE "" -1 379 "" 0 1 0 0 0 0 1 0 0 0 0 0 0 0 0 0 }{CSTYLE "" -1 380 "" 0 1 0 0 0 0 1 0 0 0 0 0 0 0 0 0 }{CSTYLE "" -1 381 "" 0 1 0 0 0 0 1 0 0 0 0 0 0 0 0 0 }{CSTYLE "" -1 382 "" 0 1 0 0 0 0 1 0 0 0 0 0 0 0 0 0 }{CSTYLE "" -1 383 "" 0 1 0 0 0 0 1 0 0 0 0 0 0 0 0 0 } {CSTYLE "" -1 384 "" 0 1 0 0 0 0 1 0 0 0 0 0 0 0 0 0 }{CSTYLE "" -1 385 "" 0 1 0 0 0 0 1 0 0 0 0 0 0 0 0 0 }{CSTYLE "" -1 386 "" 0 1 0 0 0 0 1 0 0 0 0 0 0 0 0 0 }{CSTYLE "" -1 387 "" 0 1 0 0 0 0 1 0 0 0 0 0 0 0 0 0 }{CSTYLE "" -1 388 "" 0 1 0 0 0 0 1 0 0 0 0 0 0 0 0 0 } {CSTYLE "" -1 389 "" 0 1 0 0 0 0 1 0 0 0 0 0 0 0 0 0 }{CSTYLE "" -1 390 "" 0 1 0 0 0 0 1 0 0 0 0 0 0 0 0 0 }{CSTYLE "" -1 391 "" 0 1 0 0 0 0 1 0 0 0 0 0 0 0 0 0 }{CSTYLE "" -1 392 "" 0 1 0 0 0 0 1 0 0 0 0 0 0 0 0 0 }{CSTYLE "" -1 393 "" 0 1 0 0 0 0 1 0 0 0 0 0 0 0 0 0 } {CSTYLE "" -1 394 "" 0 1 0 0 0 0 1 0 0 0 0 0 0 0 0 0 }{CSTYLE "" -1 395 "" 0 1 0 0 0 0 1 0 0 0 0 0 0 0 0 0 }{CSTYLE "" -1 396 "" 0 1 0 0 0 0 1 0 0 0 0 0 0 0 0 0 }{CSTYLE "" -1 397 "" 0 1 0 0 0 0 1 0 0 0 0 0 0 0 0 0 }{CSTYLE "" -1 398 "" 0 1 0 0 0 0 1 0 0 0 0 0 0 0 0 0 } {CSTYLE "" -1 399 "" 0 1 0 0 0 0 1 0 0 0 0 0 0 0 0 0 }{CSTYLE "" -1 400 "" 0 1 0 0 0 0 1 0 0 0 0 0 0 0 0 0 }{CSTYLE "" -1 401 "" 0 1 0 0 0 0 1 0 0 0 0 0 0 0 0 0 }{CSTYLE "" -1 402 "" 0 1 0 0 0 0 1 0 0 0 0 0 0 0 0 0 }{CSTYLE "" -1 403 "" 0 1 0 0 0 0 1 0 0 0 0 0 0 0 0 0 } {CSTYLE "" -1 404 "" 0 1 0 0 0 0 1 0 0 0 0 0 0 0 0 0 }{CSTYLE "" -1 405 "" 0 1 0 0 0 0 1 0 0 0 0 0 0 0 0 0 }{CSTYLE "" -1 406 "" 0 1 0 0 0 0 1 0 0 0 0 0 0 0 0 0 }{CSTYLE "" -1 407 "" 0 1 0 0 0 0 1 0 0 0 0 0 0 0 0 0 }{CSTYLE "" -1 408 "" 0 1 0 0 0 0 1 0 0 0 0 0 0 0 0 0 } {CSTYLE "" -1 409 "" 0 1 0 0 0 0 1 0 0 0 0 0 0 0 0 0 }{CSTYLE "" -1 410 "" 0 1 0 0 0 0 1 0 0 0 0 0 0 0 0 0 }{CSTYLE "" -1 411 "" 0 1 0 0 0 0 1 0 0 0 0 0 0 0 0 0 }{CSTYLE "" -1 412 "" 0 1 0 0 0 0 1 0 0 0 0 0 0 0 0 0 }{CSTYLE "" -1 413 "" 0 1 0 0 0 0 1 0 0 0 0 0 0 0 0 0 } {CSTYLE "" -1 414 "" 0 1 0 0 0 0 1 0 0 0 0 0 0 0 0 0 }{CSTYLE "" -1 415 "" 0 1 0 0 0 0 1 0 0 0 0 0 0 0 0 0 }{CSTYLE "" -1 416 "" 0 1 0 0 0 0 1 0 0 0 0 0 0 0 0 0 }{CSTYLE "" -1 417 "" 0 1 0 0 0 0 1 0 0 0 0 0 0 0 0 0 }{CSTYLE "" -1 418 "" 0 1 0 0 0 0 1 0 0 0 0 0 0 0 0 0 } {CSTYLE "" -1 419 "" 0 1 0 0 0 0 1 0 0 0 0 0 0 0 0 0 }{CSTYLE "" -1 420 "" 0 1 0 0 0 0 1 0 0 0 0 0 0 0 0 0 }{CSTYLE "" -1 421 "" 0 1 0 0 0 0 1 0 0 0 0 0 0 0 0 0 }{CSTYLE "" -1 422 "" 0 1 0 0 0 0 1 0 0 0 0 0 0 0 0 0 }{CSTYLE "" -1 423 "" 0 1 0 0 0 0 1 0 0 0 0 0 0 0 0 0 } {CSTYLE "" -1 424 "" 0 1 0 0 0 0 1 0 0 0 0 0 0 0 0 0 }{CSTYLE "" -1 425 "" 0 1 0 0 0 0 1 0 0 0 0 0 0 0 0 0 }{CSTYLE "" -1 426 "" 0 1 0 0 0 0 1 0 0 0 0 0 0 0 0 0 }{CSTYLE "" -1 427 "" 0 1 0 0 0 0 1 0 0 0 0 0 0 0 0 0 }{CSTYLE "" -1 428 "" 0 1 0 0 0 0 1 0 0 0 0 0 0 0 0 0 } {CSTYLE "" -1 429 "" 1 12 0 0 0 0 0 2 0 0 0 0 0 0 0 0 }{CSTYLE "" -1 430 "" 1 12 0 0 0 0 1 2 0 0 0 0 0 0 0 0 }{CSTYLE "" -1 431 "" 1 12 0 0 0 0 0 2 0 0 0 0 0 0 0 0 }{CSTYLE "" -1 432 "" 1 12 0 0 0 0 1 2 0 0 0 0 0 0 0 0 }{CSTYLE "" -1 433 "" 1 12 0 0 0 0 0 2 0 0 0 0 0 0 0 0 } {CSTYLE "" -1 434 "" 0 1 0 0 0 0 1 0 0 0 0 0 0 0 0 0 }{CSTYLE "" -1 435 "" 0 1 0 0 0 0 1 0 0 0 0 0 0 0 0 0 }{CSTYLE "" -1 436 "" 0 1 0 0 0 0 1 0 0 0 0 0 0 0 0 0 }{CSTYLE "" -1 437 "" 0 1 0 0 0 0 1 0 0 0 0 0 0 0 0 0 }{CSTYLE "" -1 438 "" 0 1 0 0 0 0 1 0 0 0 0 0 0 0 0 0 } {CSTYLE "" -1 439 "" 0 1 0 0 0 0 1 0 0 0 0 0 0 0 0 0 }{CSTYLE "" -1 440 "" 0 1 0 0 0 0 1 0 0 0 0 0 0 0 0 0 }{CSTYLE "" -1 441 "" 0 1 0 0 0 0 1 0 0 0 0 0 0 0 0 0 }{CSTYLE "" -1 442 "" 0 1 0 0 0 0 1 0 0 0 0 0 0 0 0 0 }{CSTYLE "" -1 443 "" 0 1 0 0 0 0 1 0 0 0 0 0 0 0 0 0 } {CSTYLE "" -1 444 "" 0 1 0 0 0 0 1 0 0 0 0 0 0 0 0 0 }{CSTYLE "" -1 445 "" 0 1 0 0 0 0 1 0 0 0 0 0 0 0 0 0 }{CSTYLE "" -1 446 "" 0 1 0 0 0 0 1 0 0 0 0 0 0 0 0 0 }{CSTYLE "" -1 447 "" 0 1 0 0 0 0 1 0 0 0 0 0 0 0 0 0 }{CSTYLE "" -1 448 "" 0 1 0 0 0 0 1 0 0 0 0 0 0 0 0 0 } {CSTYLE "" -1 449 "" 0 1 0 0 0 0 1 0 0 0 0 0 0 0 0 0 }{CSTYLE "" -1 450 "" 0 1 0 0 0 0 1 0 0 0 0 0 0 0 0 0 }{CSTYLE "" -1 451 "" 0 1 0 0 0 0 1 0 0 0 0 0 0 0 0 0 }{CSTYLE "" -1 452 "" 0 1 0 0 0 0 1 0 0 0 0 0 0 0 0 0 }{CSTYLE "" -1 453 "" 0 1 0 0 0 0 1 0 0 0 0 0 0 0 0 0 } {CSTYLE "" -1 454 "" 0 1 0 0 0 0 1 0 0 0 0 0 0 0 0 0 }{CSTYLE "" -1 455 "" 0 1 0 0 0 0 1 0 0 0 0 0 0 0 0 0 }{CSTYLE "" -1 456 "" 0 1 0 0 0 0 1 0 0 0 0 0 0 0 0 0 }{CSTYLE "" -1 457 "" 0 1 0 0 0 0 0 1 0 0 0 0 0 0 0 0 }{CSTYLE "" -1 458 "" 0 1 0 0 0 0 0 1 0 0 0 0 0 0 0 0 } {CSTYLE "" -1 459 "" 0 1 0 0 0 0 0 1 0 0 0 0 0 0 0 0 }{CSTYLE "" -1 460 "" 0 1 0 0 0 0 0 1 0 0 0 0 0 0 0 0 }{CSTYLE "" -1 461 "" 0 1 0 0 0 0 0 1 0 0 0 0 0 0 0 0 }{CSTYLE "" -1 462 "" 0 1 0 0 0 0 0 1 0 0 0 0 0 0 0 0 }{CSTYLE "" -1 463 "" 0 1 0 0 0 0 0 1 0 0 0 0 0 0 0 0 } {CSTYLE "" -1 464 "" 0 1 0 0 0 0 1 0 0 0 0 0 0 0 0 0 }{CSTYLE "" -1 465 "" 0 1 0 0 0 0 1 0 0 0 0 0 0 0 0 0 }{CSTYLE "" -1 466 "" 0 1 0 0 0 0 1 0 0 0 0 0 0 0 0 0 }{CSTYLE "" -1 467 "" 0 1 0 0 0 0 1 0 0 0 0 0 0 0 0 0 }{CSTYLE "" -1 468 "" 0 1 0 0 0 0 1 0 0 0 0 0 0 0 0 0 } {CSTYLE "" -1 469 "" 0 1 0 0 0 0 1 0 0 0 0 0 0 0 0 0 }{CSTYLE "" -1 470 "" 0 1 0 0 0 0 1 0 0 0 0 0 0 0 0 0 }{CSTYLE "" -1 471 "" 0 1 0 0 0 0 1 0 0 0 0 0 0 0 0 0 }{CSTYLE "" -1 472 "" 0 1 0 0 0 0 1 0 0 0 0 0 0 0 0 0 }{CSTYLE "" -1 473 "" 0 1 0 0 0 0 1 0 0 0 0 0 0 0 0 0 } {CSTYLE "" -1 474 "" 0 1 0 0 0 0 1 0 0 0 0 0 0 0 0 0 }{CSTYLE "" -1 475 "" 0 1 0 0 0 0 1 0 0 0 0 0 0 0 0 0 }{CSTYLE "" -1 476 "" 0 1 0 0 0 0 1 0 0 0 0 0 0 0 0 0 }{CSTYLE "" -1 477 "" 0 1 0 0 0 0 1 0 0 0 0 0 0 0 0 0 }{CSTYLE "" -1 478 "" 0 1 0 0 0 0 1 0 0 0 0 0 0 0 0 0 } {CSTYLE "" -1 479 "" 0 1 0 0 0 0 1 0 0 0 0 0 0 0 0 0 }{CSTYLE "" -1 480 "" 0 1 0 0 0 0 1 0 0 0 0 0 0 0 0 0 }{CSTYLE "" -1 481 "" 0 1 0 0 0 0 1 0 0 0 0 0 0 0 0 0 }{CSTYLE "" -1 482 "" 0 1 0 0 0 0 1 0 0 0 0 0 0 0 0 0 }{CSTYLE "" -1 483 "" 0 1 0 0 0 0 1 0 0 0 0 0 0 0 0 0 } {CSTYLE "" -1 484 "" 0 1 0 0 0 0 1 0 0 0 0 0 0 0 0 0 }{CSTYLE "" -1 485 "" 0 1 0 0 0 0 1 0 0 0 0 0 0 0 0 0 }{CSTYLE "" -1 486 "" 0 1 0 0 0 0 1 0 0 0 0 0 0 0 0 0 }{CSTYLE "" -1 487 "" 0 1 0 0 0 0 1 0 0 0 0 0 0 0 0 0 }{CSTYLE "" -1 488 "" 0 1 0 0 0 0 1 0 0 0 0 0 0 0 0 0 } {CSTYLE "" -1 489 "" 0 1 0 0 0 0 1 0 0 0 0 0 0 0 0 0 }{CSTYLE "" -1 490 "" 0 1 0 0 0 0 1 0 0 0 0 0 0 0 0 0 }{CSTYLE "" -1 491 "" 0 1 0 0 0 0 1 0 0 0 0 0 0 0 0 0 }{CSTYLE "" -1 492 "" 0 1 0 0 0 0 1 0 0 0 0 0 0 0 0 0 }{CSTYLE "" -1 493 "" 0 1 0 0 0 0 1 0 0 0 0 0 0 0 0 0 } {CSTYLE "" -1 494 "" 0 1 0 0 0 0 1 0 0 0 0 0 0 0 0 0 }{CSTYLE "" -1 495 "" 0 1 0 0 0 0 1 0 0 0 0 0 0 0 0 0 }{CSTYLE "" -1 496 "" 0 1 0 0 0 0 1 0 0 0 0 0 0 0 0 0 }{CSTYLE "" -1 497 "" 0 1 0 0 0 0 1 0 0 0 0 0 0 0 0 0 }{CSTYLE "" -1 498 "" 0 1 0 0 0 0 1 0 0 0 0 0 0 0 0 0 } {CSTYLE "" -1 499 "" 0 1 0 0 0 0 1 0 0 0 0 0 0 0 0 0 }{CSTYLE "" -1 500 "" 0 1 0 0 0 0 1 0 0 0 0 0 0 0 0 0 }{CSTYLE "" -1 501 "" 0 1 0 0 0 0 1 0 0 0 0 0 0 0 0 0 }{CSTYLE "" -1 502 "" 0 1 0 0 0 0 1 0 0 0 0 0 0 0 0 0 }{CSTYLE "" -1 503 "" 0 1 0 0 0 0 1 0 0 0 0 0 0 0 0 0 } {CSTYLE "" -1 504 "" 0 1 0 0 0 0 1 0 0 0 0 0 0 0 0 0 }{CSTYLE "" -1 505 "" 0 1 0 0 0 0 1 0 0 0 0 0 0 0 0 0 }{CSTYLE "" -1 506 "" 0 1 0 0 0 0 1 0 0 0 0 0 0 0 0 0 }{CSTYLE "" -1 507 "" 0 1 0 0 0 0 1 0 0 0 0 0 0 0 0 0 }{CSTYLE "" -1 508 "" 1 24 0 0 0 0 2 1 0 0 0 0 0 0 0 0 } {CSTYLE "" -1 509 "" 0 1 0 0 0 0 1 0 0 0 0 0 0 0 0 0 }{CSTYLE "" -1 510 "" 0 1 0 0 0 0 1 0 0 0 0 0 0 0 0 0 }{CSTYLE "" -1 511 "" 0 1 0 0 0 0 1 0 0 0 0 0 0 0 0 0 }{CSTYLE "" -1 512 "" 0 1 0 0 0 0 1 0 0 0 0 0 0 0 0 0 }{CSTYLE "" -1 513 "" 0 1 0 0 0 0 1 0 0 0 0 0 0 0 0 0 } {CSTYLE "" -1 514 "" 0 1 0 0 0 0 1 0 0 0 0 0 0 0 0 0 }{CSTYLE "" -1 515 "" 0 1 0 0 0 0 1 0 0 0 0 0 0 0 0 0 }{CSTYLE "" -1 516 "" 0 1 0 0 0 0 1 0 0 0 0 0 0 0 0 0 }{CSTYLE "" -1 517 "" 0 1 0 0 0 0 1 0 0 0 0 0 0 0 0 0 }{CSTYLE "" -1 518 "" 0 1 0 0 0 0 1 0 0 0 0 0 0 0 0 0 } {CSTYLE "" -1 519 "" 0 1 0 0 0 0 1 0 0 0 0 0 0 0 0 0 }{CSTYLE "" -1 520 "" 0 1 0 0 0 0 1 0 0 0 0 0 0 0 0 0 }{CSTYLE "" -1 521 "" 0 1 0 0 0 0 1 0 0 0 0 0 0 0 0 0 }{CSTYLE "" -1 522 "" 0 1 0 0 0 0 1 0 0 0 0 0 0 0 0 0 }{CSTYLE "" -1 523 "" 0 1 0 0 0 0 1 0 0 0 0 0 0 0 0 0 } {CSTYLE "" -1 524 "" 0 1 0 0 0 0 1 0 0 0 0 0 0 0 0 0 }{CSTYLE "" -1 525 "" 0 1 0 0 0 0 1 0 0 0 0 0 0 0 0 0 }{CSTYLE "" -1 526 "" 0 1 0 0 0 0 1 0 0 0 0 0 0 0 0 0 }{CSTYLE "" -1 527 "" 0 1 0 0 0 0 1 0 0 0 0 0 0 0 0 0 }{CSTYLE "" -1 528 "" 0 1 0 0 0 0 1 0 0 0 0 0 0 0 0 0 } {CSTYLE "" -1 529 "" 0 1 0 0 0 0 1 0 0 0 0 0 0 0 0 0 }{CSTYLE "" -1 530 "" 0 1 0 0 0 0 1 0 0 0 0 0 0 0 0 0 }{CSTYLE "" -1 531 "" 0 1 0 0 0 0 1 0 0 0 0 0 0 0 0 0 }{CSTYLE "" -1 532 "" 0 1 0 0 0 0 1 0 0 0 0 0 0 0 0 0 }{CSTYLE "" -1 533 "" 0 1 0 0 0 0 1 0 0 0 0 0 0 0 0 0 } {CSTYLE "" -1 534 "" 0 1 0 0 0 0 1 0 0 0 0 0 0 0 0 0 }{CSTYLE "" -1 535 "" 0 1 0 0 0 0 1 0 0 0 0 0 0 0 0 0 }{CSTYLE "" -1 536 "" 0 1 0 0 0 0 1 0 0 0 0 0 0 0 0 0 }{CSTYLE "" -1 537 "" 0 1 0 0 0 0 1 0 0 0 0 0 0 0 0 0 }{CSTYLE "" -1 538 "" 0 1 0 0 0 0 1 0 0 0 0 0 0 0 0 0 } {CSTYLE "" -1 539 "" 0 1 0 0 0 0 1 0 0 0 0 0 0 0 0 0 }{CSTYLE "" -1 540 "" 0 1 0 0 0 0 1 0 0 0 0 0 0 0 0 0 }{CSTYLE "" -1 541 "" 0 1 0 0 0 0 1 0 0 0 0 0 0 0 0 0 }{CSTYLE "" -1 542 "" 0 1 0 0 0 0 1 0 0 0 0 0 0 0 0 0 }{CSTYLE "" -1 543 "" 0 1 0 0 0 0 1 0 0 0 0 0 0 0 0 0 } {CSTYLE "" -1 544 "" 0 1 0 0 0 0 1 0 0 0 0 0 0 0 0 0 }{CSTYLE "" -1 545 "" 0 1 0 0 0 0 1 0 0 0 0 0 0 0 0 0 }{CSTYLE "" -1 546 "" 0 1 0 0 0 0 1 0 0 0 0 0 0 0 0 0 }{CSTYLE "" -1 547 "" 0 1 0 0 0 0 1 0 0 0 0 0 0 0 0 0 }{CSTYLE "" -1 548 "" 0 1 0 0 0 0 1 0 0 0 0 0 0 0 0 0 } {CSTYLE "" -1 549 "" 0 1 0 0 0 0 1 0 0 0 0 0 0 0 0 0 }{CSTYLE "" -1 550 "" 0 1 0 0 0 0 1 0 0 0 0 0 0 0 0 0 }{CSTYLE "" -1 551 "" 0 1 0 0 0 0 1 0 0 0 0 0 0 0 0 0 }{CSTYLE "" -1 552 "" 0 1 0 0 0 0 1 0 0 0 0 0 0 0 0 0 }{CSTYLE "" -1 553 "" 0 1 0 0 0 0 1 0 0 0 0 0 0 0 0 0 } {CSTYLE "" -1 554 "" 0 1 0 0 0 0 1 0 0 0 0 0 0 0 0 0 }{CSTYLE "" -1 555 "" 0 1 0 0 0 0 1 0 0 0 0 0 0 0 0 0 }{CSTYLE "" -1 556 "" 0 1 0 0 0 0 1 0 0 0 0 0 0 0 0 0 }{CSTYLE "" -1 557 "" 0 1 0 0 0 0 1 0 0 0 0 0 0 0 0 0 }{CSTYLE "" -1 558 "" 0 1 0 0 0 0 1 0 0 0 0 0 0 0 0 0 } {CSTYLE "" -1 559 "" 0 1 0 0 0 0 1 0 0 0 0 0 0 0 0 0 }{CSTYLE "" -1 560 "" 0 1 0 0 0 0 1 0 0 0 0 0 0 0 0 0 }{CSTYLE "" -1 561 "" 0 1 0 0 0 0 1 0 0 0 0 0 0 0 0 0 }{CSTYLE "" -1 562 "" 0 1 0 0 0 0 1 0 0 0 0 0 0 0 0 0 }{CSTYLE "" -1 563 "" 0 1 0 0 0 0 1 0 0 0 0 0 0 0 0 0 } {CSTYLE "" -1 564 "" 0 1 0 0 0 0 1 0 0 0 0 0 0 0 0 0 }{CSTYLE "" -1 565 "" 0 1 0 0 0 0 1 0 0 0 0 0 0 0 0 0 }{CSTYLE "" -1 566 "" 0 1 0 0 0 0 1 0 0 0 0 0 0 0 0 0 }{CSTYLE "" -1 567 "" 0 1 0 0 0 0 1 0 0 0 0 0 0 0 0 0 }{CSTYLE "" -1 568 "" 0 1 0 0 0 0 1 0 0 0 0 0 0 0 0 0 } {CSTYLE "" -1 569 "" 0 1 0 0 0 0 1 0 0 0 0 0 0 0 0 0 }{CSTYLE "" -1 570 "" 0 1 0 0 0 0 1 0 0 0 0 0 0 0 0 0 }{CSTYLE "" -1 571 "" 0 1 0 0 0 0 1 0 0 0 0 0 0 0 0 0 }{CSTYLE "" -1 572 "" 0 1 0 0 0 0 1 0 0 0 0 0 0 0 0 0 }{CSTYLE "" -1 573 "" 0 1 0 0 0 0 1 0 0 0 0 0 0 0 0 0 } {CSTYLE "" -1 574 "" 0 1 0 0 0 0 1 0 0 0 0 0 0 0 0 0 }{CSTYLE "" -1 575 "" 0 1 0 0 0 0 1 0 0 0 0 0 0 0 0 0 }{CSTYLE "" -1 576 "" 0 1 0 0 0 0 1 0 0 0 0 0 0 0 0 0 }{CSTYLE "" -1 577 "" 0 1 0 0 0 0 1 0 0 0 0 0 0 0 0 0 }{CSTYLE "" -1 578 "" 0 1 0 0 0 0 1 0 0 0 0 0 0 0 0 0 } {CSTYLE "" -1 579 "" 0 1 0 0 0 0 1 0 0 0 0 0 0 0 0 0 }{CSTYLE "" -1 580 "" 0 1 0 0 0 0 1 0 0 0 0 0 0 0 0 0 }{CSTYLE "" -1 581 "" 0 1 0 0 0 0 1 0 0 0 0 0 0 0 0 0 }{CSTYLE "" -1 582 "" 0 1 0 0 0 0 1 0 0 0 0 0 0 0 0 0 }{CSTYLE "" -1 583 "" 0 1 0 0 0 0 1 0 0 0 0 0 0 0 0 0 } {CSTYLE "" -1 584 "" 0 1 0 0 0 0 1 0 0 0 0 0 0 0 0 0 }{CSTYLE "" -1 585 "" 0 1 0 0 0 0 1 0 0 0 0 0 0 0 0 0 }{CSTYLE "" -1 586 "" 0 1 0 0 0 0 1 0 0 0 0 0 0 0 0 0 }{CSTYLE "" -1 587 "" 0 1 0 0 0 0 1 0 0 0 0 0 0 0 0 0 }{CSTYLE "" -1 588 "" 0 1 0 0 0 0 1 0 0 0 0 0 0 0 0 0 } {CSTYLE "" -1 589 "" 0 1 0 0 0 0 1 0 0 0 0 0 0 0 0 0 }{PSTYLE "Normal " -1 0 1 {CSTYLE "" -1 -1 "Times" 1 12 0 0 0 1 2 2 2 2 2 2 1 1 1 1 }1 1 0 0 0 0 1 0 1 0 2 2 0 1 }{PSTYLE "Heading 1" -1 3 1 {CSTYLE "" -1 -1 "Times" 1 18 0 0 0 1 2 1 2 2 2 2 1 1 1 1 }1 1 0 0 8 4 1 0 1 0 2 2 0 1 }{PSTYLE "Heading 2" -1 4 1 {CSTYLE "" -1 -1 "Times" 1 14 0 0 0 1 2 1 2 2 2 2 1 1 1 1 }1 1 0 0 8 2 1 0 1 0 2 2 0 1 }{PSTYLE "Maple Outpu t" -1 11 1 {CSTYLE "" -1 -1 "Times" 1 12 0 0 0 1 2 2 2 2 2 2 1 1 1 1 } 3 3 0 0 0 0 1 0 1 0 2 2 0 1 }{PSTYLE "Maple Output" -1 12 1 {CSTYLE " " -1 -1 "Times" 1 12 0 0 0 1 2 2 2 2 2 2 1 1 1 1 }1 3 0 0 0 0 1 0 1 0 2 2 0 1 }{PSTYLE "Maple Plot" -1 13 1 {CSTYLE "" -1 -1 "Times" 1 12 0 0 0 1 2 2 2 2 2 2 1 1 1 1 }3 1 0 0 0 0 1 0 1 0 2 2 0 1 }{PSTYLE "Norma l" -1 256 1 {CSTYLE "" -1 -1 "Times" 1 12 0 0 0 1 2 2 2 2 2 2 1 1 1 1 }3 1 0 0 0 0 1 0 1 0 2 2 0 1 }{PSTYLE "Maple Output" -1 257 1 {CSTYLE "" -1 -1 "Times" 1 12 0 0 0 1 2 2 2 2 2 2 1 1 1 1 }1 3 0 0 0 0 1 0 1 0 2 2 0 1 }{PSTYLE "Normal" -1 258 1 {CSTYLE "" -1 -1 "Times" 1 12 0 0 0 1 2 2 2 2 2 2 1 1 1 1 }1 1 0 0 0 0 1 0 1 0 2 2 0 1 }{PSTYLE "Norma l" -1 259 1 {CSTYLE "" -1 -1 "Times" 1 18 0 0 0 1 2 1 2 2 2 2 1 1 1 1 }3 1 0 0 0 0 1 0 1 0 2 2 0 1 }{PSTYLE "Heading 1" -1 260 1 {CSTYLE "" -1 -1 "Times" 1 18 0 0 0 1 2 1 2 2 2 2 1 1 1 1 }3 1 0 0 8 4 1 0 1 0 2 2 0 1 }} {SECT 0 {PARA 0 "" 0 "" {TEXT -1 0 "" }}{PARA 0 "" 0 "" {TEXT -1 0 "" }}{PARA 260 "" 0 "" {TEXT 508 31 "Pearson\371v test shody - p\370\355k lady" }}{PARA 0 "" 0 "" {TEXT -1 0 "" }}{SECT 1 {PARA 3 "" 0 "" {TEXT -1 10 "P\370\355klad 1." }{MPLTEXT 1 0 0 "" }}{EXCHG {PARA 0 "" 0 "" {TEXT -1 43 "P\370i realizaci n\341hodn\351ho v\375b\354ru z rozd\354l en\355 " }{TEXT 336 1 "X" }{TEXT -1 70 " jsme obdr\236eli 81 hodnot. V \375sledky jsou zaps\341ny v n\341sleduj\355c\355 tabulce:" }}{PARA 0 "" 0 "" {TEXT -1 0 "" }}{PARA 0 "" 0 "" {TEXT 310 12 "\310\355slo t \370\355dy " }{TEXT -1 27 "/ T\370\355da (interval) / Po\350et:" }} {PARA 0 "" 0 "" {TEXT -1 1 " " }{TEXT 302 2 "1 " }{TEXT -1 23 "/ -1.0 a\236 -0.5 / 23, " }}{PARA 0 "" 0 "" {TEXT -1 1 " " }{TEXT 303 2 "2 \+ " }{TEXT -1 24 "/ -0.5 a\236 0.0 / 8, " }}{PARA 0 "" 0 "" {TEXT -1 1 " " }{TEXT 304 2 "3 " }{TEXT -1 23 "/ 0.0 a\236 0.5 / 21, " } }{PARA 0 "" 0 "" {TEXT -1 1 " " }{TEXT 305 1 "4" }{TEXT -1 25 " / 0. 5 a\236 1.0 / 11, " }}{PARA 0 "" 0 "" {TEXT 306 3 " 5 " }{TEXT -1 24 "/ 1.0 a\236 1.5 / 5, " }}{PARA 0 "" 0 "" {TEXT -1 1 " " } {TEXT 307 2 "6 " }{TEXT -1 25 "/ 1.5 a\236 2.0 / 3, " }}{PARA 0 "" 0 "" {TEXT 308 2 " 7" }{TEXT -1 25 " / 2.0 a\236 2.5 / 3, \+ " }}{PARA 0 "" 0 "" {TEXT -1 1 " " }{TEXT 309 1 "8" }{TEXT -1 25 " / \+ 2.5 a\236 3.0 / 7. " }}{PARA 0 "" 0 "" {TEXT -1 0 "" }}{PARA 0 " " 0 "" {TEXT -1 41 "Ov\354\370te hypot\351zu, zda m\341 n\341hodn\341 \+ veli\350ina " }{TEXT 337 1 "X" }{TEXT -1 9 " hustotu " }}{PARA 256 "" 0 "" {TEXT 338 1 "g" }{TEXT -1 1 "(" }{TEXT 520 1 "x" }{TEXT -1 1 ")" }{TEXT 518 3 " = " }{TEXT -1 6 "(-1/8)" }{TEXT 519 3 " x+" }{TEXT -1 8 "3/8 pro" }{TEXT 339 3 " x " }{TEXT -1 21 "z intervalu (-1, 3), " } }{PARA 258 "" 0 "" {TEXT -1 9 "pro jin\341 " }{TEXT 340 1 "x" }{TEXT -1 24 " ne\236 z intervalu (-1, 3)" }{TEXT 448 1 " " }{TEXT -1 4 " je \+ " }{TEXT 341 1 "g" }{TEXT -1 1 "(" }{TEXT 521 1 "x" }{TEXT -1 1 ")" } {TEXT 522 3 " = " }{TEXT -1 3 "0. " }}{PARA 0 "" 0 "" {TEXT -1 57 "Tes t prove\357te s maxim\341ln\355m rizikem p\370\355pustn\351ho omylu 5 %." }{MPLTEXT 1 0 0 "" }}}{SECT 1 {PARA 4 "" 0 "" {TEXT -1 10 "\330e \232en\355 P1." }{MPLTEXT 1 0 0 "" }}{EXCHG {PARA 0 "" 0 "" {TEXT 311 23 "M\341me testovat hypot\351zu " }{TEXT 430 3 "H_0" }{TEXT 431 19 ": n\341hodn\341 veli\350ina " }{TEXT 376 1 "X" }{TEXT 377 12 " m\341 hu stotu " }{TEXT 342 1 "g" }{TEXT -1 1 "(" }{TEXT 583 1 "x" }{TEXT -1 1 ")" }{TEXT 584 1 " " }{TEXT -1 1 " " }{TEXT 312 16 "proti hypot\351ze \+ " }{TEXT 432 1 "H" }{TEXT 433 20 ": n\341hodn\341 veli\350ina " } {TEXT 344 1 "X" }{TEXT 345 14 " nem\341 hustotu " }{TEXT 346 1 "g" } {TEXT -1 1 "(" }{TEXT 343 1 "x" }{TEXT -1 3 ") " }{TEXT 313 136 "na h ladin\354 v\375znamnosti 0.05. Vyvol\341me knihovnu stats p\370\355kaz em with(stats) a zap\355\232eme rozt\370\355d\354nou realizaci n\341h odn\351ho v\375b\354ru do seznamu" }{TEXT -1 17 ", kter\375 ozna\350 \355me " }{TEXT 348 4 "data" }{TEXT -1 17 ". Symbol Weight(" }{TEXT 506 11 "a .. b, n_j" }{TEXT -1 38 ") zna\350\355, \236e do intervalu \+ [a,b) padlo " }{TEXT 333 3 "n_j" }{TEXT -1 15 " hodnot, tj. " } {TEXT 334 4 "n_j " }{TEXT -1 27 "je absolutn\355 \350etnost t\370\355d y " }{TEXT 335 3 "T_j" }{TEXT -1 2 ". " }{MPLTEXT 1 0 0 "" }}{PARA 0 " " 0 "" {TEXT -1 0 "" }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 30 "rest art;with(stats):Digits:=4:" }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 150 "data:=[Weight(-1..-0.5,23),Weight(-0.5..0,8),Weight(0..0.5,21),We ight(0.5..1,11),Weight(1..1.5,5),Weight(1.5..2,3),Weight(2..2.5,3),Wei ght(2.5..3,7)];" }}{PARA 12 "" 1 "" {XPPMATH 20 "6#>%%dataG7*-%'Weight G6$;!\"\"$!\"&F*\"#B-F'6$;F+\"\"!\"\")-F'6$;F1$\"\"&F*\"#@-F'6$;F6\"\" \"\"#6-F'6$;F<$\"#:F*F7-F'6$;FA\"\"#\"\"$-F'6$;FF$\"#DF*FG-F'6$;FKFG\" \"(" }}}{EXCHG {PARA 0 "" 0 "" {TEXT -1 0 "" }}{PARA 0 "" 0 "" {TEXT -1 49 "Pro konstrukci histogramu zkontrolujeme rozsah" }{TEXT 349 1 " " }{TEXT -1 28 "realizace n\341hodn\351ho v\375b\354ru " }{TEXT 434 1 "n" }{TEXT -1 33 " a nahrad\355me \350etnosti v seznamu " } {TEXT 435 4 "data" }{TEXT -1 53 " relativn\355mi \350etnostmi. V\375sl edek zap\355\232eme do seznamu " }{TEXT 350 5 "data1" }{TEXT -1 1 "." }}{PARA 0 "" 0 "" {TEXT -1 0 "" }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 25 "n:=describe[count](data);" }}{PARA 0 "> " 0 "" {MPLTEXT 1 0 47 "data1:=stats[transform,scaleweight[1/n]](data);" }}{PARA 11 "" 1 " " {XPPMATH 20 "6#>%\"nG\"#\")" }}{PARA 12 "" 1 "" {XPPMATH 20 "6#>%&da ta1G7*-%'WeightG6$;!\"\"$!\"&F*#\"#B\"#\")-F'6$;F+\"\"!#\"\")F/-F'6$;F 3$\"\"&F*#\"\"(\"#F-F'6$;F9\"\"\"#\"#6F/-F'6$;FA$\"#:F*#F:F/-F'6$;FG\" \"##FAF=-F'6$;FM$\"#DF*FN-F'6$;FR\"\"$#F " 0 "" {MPLTEXT 1 0 68 "statplots[histogram](data1,title='Histogram_a _hypotetick\341_hustota'):" }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 38 "plot((-1/8)*x+3/8,x=-1..3, color=red):" }}}{EXCHG {PARA 0 "> " 0 " " {MPLTEXT 1 0 23 "plots[display](\{%,%%\});" }}{PARA 13 "" 1 "" {GLPLOT2D 400 300 300 {PLOTDATA 2 "6'-%)POLYGONSG6+7&7$$\"#D!\"\"\"\"! 7$F($\"%GF/7$F+F87$F+F+7&7$ \"\"#F+7$F>$\"%3uF67$F(F@F'7&7$F*F+7$F*$\"%!o&F/7$F5FFF47&7$\"\"\"F+7$ FK$\"%N7F/7$$\"#:F*FM7$FPF+7&F;7$F+$\"%'=&F/7$$\"\"&F*FU7$FXF+7&FR7$FP F@F?F=7&FZ7$FX$\"%;FF/7$FKFinFJ-%&COLORG6&%$RGBG$\"\"(F*F`o$\"#5F*-%'C URVESG6$7S7$$F*F+$\"3++++++++]!#=7$$!3PLLLLQ6G\"*F\\p$\"3%pmm\"HU,\"*[ F\\p7$$!3immmT.\\p$)F\\p$\"3=L$3FH'='z%F\\p7$$!3LLLL$))Qj^(F\\p$\"3Smm TgBa*o%F\\p7$$!3ULLL$=Kvl'F\\p$\"3_mm\"H_\">#e%F\\p7$$!3hnmmTs!G!eF\\p $\"3YL$3_!4NvWF\\p7$$!3iLLL3yO5]F\\p$\"3Um;/wfHwVF\\p7$$!3i+++vE%)*=%F \\p$\"3%***\\PM.ttUF\\p7$$!3)RLL$3WDTLF\\p$\"3-n;/,olnTF\\p7$$!3'4++]d (Q&\\#F\\p$\"3%)**\\(oWB>1%F\\p7$$!3:mmmm&4`i\"F\\p$\"3ELL$epjJ&RF\\p7 $$!3GKLLLQW*e)!#>$\"3mmm\"z/ot&QF\\p7$$\"3HI#*******H,Q!#@$\"35++]P[_ \\PF\\p7$$\"3Q(*******\\*3q)Fbs$\"3/++]7)Q7k$F\\p7$$\"3!********p=\\q \"F\\p$\"3u****\\i^)o`$F\\p7$$\"3_mmm\"fBIY#F\\p$\"3om;/^?7UMF\\p7$$\" 3yKLLLO[kLF\\p$\"3oLL$eaR%HLF\\p7$$\"3.KLLL&Q\"GTF\\p$\"3]LLL$o#)RB$F \\p7$$\"3+*****\\s]k,&F\\p$\"3S+]PfO%H7$F\\p7$$\"3WJLLLvv-eF\\p$\"3&QL L$3`lCIF\\p7$$\"3'3++]sgam'F\\p$\"3*)**\\P4u\"o\"HF\\p7$$\"3G+++v\"ep[ (F\\p$\"3C+]7G-89GF\\p7$$\"3#QLLLe/TM)F\\p$\"3bLL3Fp)pq#F\\p7$$\"39LLL eDBJ\"*F\\p$\"3OL$3-$ff3EF\\p7$$\"3Immm;kD!)**F\\p$\"3rmm\"z%zY-DF\\p7 $$\"3Mmm;f`@'3\"!#<$\"33n;/,3B#R#F\\p7$$\"3y****\\nZ)H;\"Fjw$\"3E+]iS! piH#F\\p7$$\"3YmmmJy*eC\"Fjw$\"3%pm;/rFE>#F\\p7$$\"3')******R^bJ8Fjw$ \"3;+++vgb&3#F\\p7$$\"3f*****\\5a`T\"Fjw$\"3_++vot!3)>F\\p7$$\"3o**** \\7RV'\\\"Fjw$\"3Q+]P4wXz=F\\p7$$\"3k*****\\@fke\"Fjw$\"3W++D\")f#pw\" F\\p7$$\"3/LLL`4Nn;Fjw$\"3oLLL38\"em\"F\\p7$$\"3#*******\\,s`$=Fjw$\"3!pmT5l?+Y\"F\\p7$$\"3$*******pfa <>Fjw$\"33++]Pv1`8F\\p7$$\"3#HLLeg`!)*>Fjw$\"3'QL3F*HV_7F\\p7$$\"3w*** *\\#G2A3#Fjw$\"3I+](o*3CZ6F\\p7$$\"3;LLL$)G[k@Fjw$\"3aLL$eR'RW5F\\p7$$ \"3#)****\\7yh]AFjw$\"3K-+vVtFn$*Fbs7$$\"3xmmm')fdLBFjw$\"3Slmmm,II$)F bs7$$\"3bmmm,FT=CFjw$\"35om;H7%)psFbs7$$\"3FLL$e#pa-DFjw$\"39ML3FM;=iF bs7$$\"3!*******Rv&)zDFjw$\"3M,++]2y^_Fbs7$$\"3ILLLGUYoEFjw$\"3xLL$e9( >WTFbs7$$\"3_mmm1^rZFFjw$\"3aommm6c`JFbs7$$\"34++]sI@KGFjw$\"3#))**\\P fOt4#Fbs7$$\"34++]2%)38HFjw$\"3#*)**\\i!\\R'3\"Fbs7$$F1F+$F+F+-%'COLOU RG6&F_o$\"*++++\"!\")F]_lF]_l-%+AXESLABELSG6$Q\"x6\"Q!Fh_l-%&TITLEG6#% @Histogram_a_hypotetick|\\y_hustotaG-%%VIEWG6$;$!0++++++S\"!#9$\"0++++ ++S$Fd`l%(DEFAULTG" 1 2 0 1 10 0 2 9 1 4 2 1.000000 45.000000 45.000000 0 0 "Curve 1" "Curve 2" }}}}{EXCHG {PARA 256 "" 0 "" {TEXT -1 0 "" }}{PARA 0 "" 0 "" {TEXT -1 50 "Porovn\341n\355 histogramu s gr afem hypotetick\351 hustoty " }{TEXT 352 1 "g" }{TEXT -1 37 " p\370 \355li\232 nesv\354d\350\355 v prosp\354ch hypot\351zy " }{TEXT 436 3 "H_0" }{TEXT -1 98 ". P\370ejd\354me ale je\232t\354 na Pearson\371v \+ test shody, abychom zjistili riziko myln\351ho zam\355tnut\355 hypot \351zy " }{TEXT 437 3 "H_0" }{TEXT -1 25 ". Pro v\375po\350et realiza ce " }{TEXT 347 1 "r" }{TEXT -1 22 " testovac\355ho krit\351ria " }} {PARA 256 "" 0 "" {XPPEDIT 18 0 "R:=sum((N_j-n*p_j)^2/(n*p_j), j=1..k) :" "6#>%\"RG-%$sumG6$*&,&%$N_jG\"\"\"*&%\"nGF+%$p_jGF+!\"\"\"\"#*&F-F+ F.F+F//%\"jG;F+%\"kG" }}{PARA 0 "" 0 "" {TEXT -1 54 "Pearsonova testu \+ shody mus\355me ur\350it pravd\354podobnosti " }{TEXT 517 3 "p_j" } {TEXT -1 13 ". Ze seznamu " }{TEXT 438 5 "data " }{TEXT -1 14 "na\350t eme t\370\355dy " }{TEXT 314 3 "T_j" }{TEXT -1 17 ", horn\355 hranice \+ " }{TEXT 315 3 "h_j" }{TEXT -1 7 " t\370\355d " }{TEXT 316 3 "T_j" } {TEXT -1 23 " a absolutn\355 \350etnosti " }{TEXT 317 3 "n_j" }{TEXT -1 57 " . V\375sledky zap\355\232eme postupn\354 do seznam\371, kter \351 ozna\350\355me " }{TEXT 318 1 "T" }{TEXT -1 2 ", " }{TEXT 319 1 " h" }{TEXT -1 2 ", " }{TEXT 320 1 "N" }{TEXT -1 31 ". Kone\350n\354 za p\355\232eme po\350et t\370\355d " }{TEXT 321 1 "k" }{TEXT -1 11 ". Do staneme" }}{PARA 0 "" 0 "" {TEXT -1 0 "" }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 51 "T:=transform[statvalue](data);h:=map(x->op(2,x),T);" }}{PARA 0 "> " 0 "" {MPLTEXT 1 0 52 "N:=transform[frequency](data);k:= describe[count](h);" }{TEXT -1 0 "" }}{PARA 11 "" 1 "" {XPPMATH 20 "6# >%\"TG7*;!\"\"$!\"&F';F(\"\"!;F+$\"\"&F';F-\"\"\";F0$\"#:F';F2\"\"#;F5 $\"#DF';F7\"\"$" }}{PARA 11 "" 1 "" {XPPMATH 20 "6#>%\"hG7*$!\"&!\"\" \"\"!$\"\"&F(\"\"\"$\"#:F(\"\"#$\"#DF(\"\"$" }}{PARA 11 "" 1 "" {XPPMATH 20 "6#>%\"NG7*\"#B\"\")\"#@\"#6\"\"&\"\"$F+\"\"(" }}{PARA 11 "" 1 "" {XPPMATH 20 "6#>%\"kG\"\")" }}}{EXCHG {PARA 0 "" 0 "" {TEXT -1 0 "" }}{PARA 0 "" 0 "" {TEXT -1 40 "V na\232em p\370\355pad\354 je hypotetick\341 hustota " }{TEXT 494 1 "g" }{TEXT -1 1 "(" }{TEXT 585 1 "x" }{TEXT -1 40 ") tak jednoduch\341, \236e bychom p\370i v\375po \350tu " }{TEXT 493 3 "p_j" }{TEXT -1 157 " mohli pracovat pouze s pr imitivn\355 funkc\355, resp. s obsahy lichob\354\236n\355k\371 v p\370 edchoz\355m obr\341zku. D\341me ale p\370ednost postupu, p\370i kter \351m nejprve ur\350\355me z hustoty " }{TEXT 495 1 "g" }{TEXT -1 1 "( " }{TEXT 586 1 "x" }{TEXT -1 34 ") hypotetickou distribu\350n\355 funk ci " }{TEXT 496 1 "G" }{TEXT -1 1 "(" }{TEXT 587 1 "x" }{TEXT -1 2 "). " }}{PARA 0 "" 0 "" {TEXT -1 4 "Pro " }{TEXT 353 1 "x" }{TEXT -1 29 " \+ z intervalu (-1,3) dostaneme" }}{PARA 0 "" 0 "" {TEXT -1 0 "" }}} {EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 14 "g:=-1/8*x+3/8;" }}{PARA 11 " " 1 "" {XPPMATH 20 "6#>%\"gG,&%\"xG#!\"\"\"\")#\"\"$F)\"\"\"" }}} {EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 16 "g:=unapply(g,x);" }}{PARA 11 "" 1 "" {XPPMATH 20 "6#>%\"gGf*6#%\"xG6\"6$%)operatorG%&arrowGF(,&9 $#!\"\"\"\")#\"\"$F0\"\"\"F(F(F(" }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 24 "G(x):=int(g(t),t=-1..x);" }}{PARA 11 "" 1 "" {XPPMATH 20 "6#>-%\"GG6#%\"xG,(*$)F'\"\"#\"\"\"#!\"\"\"#;#\"\"(F/F,*&# \"\"$\"\")F,F'F,F," }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 19 "G:=un apply(G(x),x);" }}{PARA 11 "" 1 "" {XPPMATH 20 "6#>%\"GGf*6#%\"xG6\"6$ %)operatorG%&arrowGF(,(*$)9$\"\"#\"\"\"#!\"\"\"#;#\"\"(F4F1*&#\"\"$\" \")F1F/F1F1F(F(F(" }}}{EXCHG {PARA 0 "" 0 "" {TEXT -1 0 "" }}{PARA 0 " " 0 "" {TEXT -1 8 "Ozna\350me " }{TEXT 354 3 "G_j" }{TEXT -1 39 " hodn oty teoretick\351 distribu\350n\355 funkce " }{TEXT 355 1 "G" }{TEXT -1 21 " v horn\355ch hranic\355ch " }{TEXT 356 3 "h_j" }{TEXT -1 6 " t \370\355d " }{TEXT 357 4 "T_j " }{TEXT -1 9 "a polo\236me" }{TEXT 471 3 " G_" }{TEXT -1 1 "0" }{TEXT 588 3 " = " }{TEXT -1 8 "0. Potom" }} {PARA 0 "" 0 "" {TEXT -1 0 "" }}{PARA 256 "" 0 "" {TEXT -1 2 " " } {TEXT 322 4 "p_j " }{TEXT -1 4 " = " }{TEXT 323 3 "G_j" }{TEXT -1 3 " - " }{TEXT 324 2 "G_" }{TEXT -1 1 "(" }{TEXT 505 1 "j" }{TEXT -1 9 "- 1) pro " }{TEXT 325 1 "j" }{TEXT -1 11 " = 1, ..., " }{TEXT 326 1 "k " }{TEXT -1 2 ". " }}{PARA 0 "" 0 "" {TEXT -1 0 "" }}{PARA 0 "" 0 "" {TEXT -1 66 "V\375sledky budeme op\354t zapisovat do seznamu. Ozna\350 me seznam hodnot " }{TEXT 327 4 "G_j " }{TEXT -1 6 "stejn\354" } {TEXT 473 1 " " }{TEXT -1 4 "jako" }{TEXT 474 1 " " }{TEXT -1 28 "dist ribu\350n\355 funkci p\355smenem" }{TEXT 475 3 " G " }{TEXT -1 33 "a \+ seznam hodnot pravd\354podobnost\355 " }{TEXT 328 4 "p_j " }{TEXT -1 4 "jako" }{TEXT 476 2 " p" }{TEXT -1 12 ". Dostaneme:" }}{PARA 13 "" 1 "" {TEXT -1 0 "" }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 25 "G:=[se q(G(h[j]),j=1..k)];" }}{PARA 11 "" 1 "" {XPPMATH 20 "6#>%\"GG7*$\"%WB! \"%#\"\"(\"#;$\"%%4'F(#\"\"$\"\"%$\"%%f)F(#\"#:F+$\"%W)*F(\"\"\"" }}} {EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 34 "p:=[G[1],seq(G[j]-G[j-1],j=2 ..k)];" }}{PARA 11 "" 1 "" {XPPMATH 20 "6#>%\"pG7*$\"%WB!\"%$\"%J?F($ \"%> " 0 "" {MPLTEXT 1 0 25 "(1=zk1)=sum(p[j],j=1..k);" }}{PARA 11 "" 1 "" {XPPMATH 20 "6#//\"\"\"%$zk1G$\"%+5!\"$" }}}{EXCHG {PARA 0 "" 0 " " {TEXT -1 0 "" }}{PARA 0 "" 0 "" {TEXT -1 75 "Pro ov\354\370en\355 p ou\236itelnosti Pearsonova testu vypo\350\355t\341me teoretick\351 \+ \350etnosti " }{TEXT 498 6 "np_j " }{TEXT -1 31 "a v\375sledek zap \355\232eme do seznamu " }{TEXT 293 2 "np" }{TEXT -1 1 "." }}{PARA 0 " " 0 "" {TEXT -1 0 "" }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 58 "np:= transform[divideby[1/n]](p);(n=zk2)=sum(np[j],j=1..k);" }}{PARA 11 "" 1 "" {XPPMATH 20 "6#>%#npG7*$\"%**=!\"#$\"%X;F($\"%#R\"F($\"%R6F($\"%h ))!\"$$\"%EjF1$\"%*z$F1$\"%k7F1" }}{PARA 11 "" 1 "" {XPPMATH 20 "6#// \"#\")%$zk2G$\"%+\")!\"#" }}}{EXCHG {PARA 0 "" 0 "" {TEXT -1 0 "" }} {PARA 0 "" 0 "" {TEXT -1 20 "Vzhledem k tomu, \236e " }{TEXT 294 5 "np _j " }{TEXT -1 4 "nen\355" }{TEXT 440 1 " " }{TEXT -1 35 "v\354t\232 \355 nebo rovno 5 pro alespo\362 80% " }{TEXT 295 1 "j" }{TEXT -1 214 ", nejsou spln\354ny podm\355nky pou\236itelnosti Pearsonova testu. K odstan\354n\355 tohoto nedostaku slou\350\355me posledn\355 dv\354 t \370\355dy do jedn\351. Se\350teme p\370\355slu\232n\351 teoretick \351 a empirick\351 \350etnosti, v\375sledky zap\355\232eme do nov\375 ch seznam\371 " }{TEXT 296 3 "np1" }{TEXT -1 2 ", " }{TEXT 297 2 "N1" }{TEXT -1 28 " a zap\355\232eme nov\375 po\350et t\370\355d " }{TEXT 298 2 "k1" }{TEXT -1 8 " (rovn\375 " }{TEXT 472 1 "k" }{TEXT -1 6 " - \+ 1)." }}{PARA 0 "" 0 "" {TEXT -1 0 "" }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 37 "np1:=[seq(np[j],j=1..6),np[7]+np[8]];" }{TEXT -1 0 " " }}{PARA 11 "" 1 "" {XPPMATH 20 "6#>%$np1G7)$\"%**=!\"#$\"%X;F($\"%#R \"F($\"%R6F($\"%h))!\"$$\"%EjF1$\"%j]F1" }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 33 "N1:=[seq(N[j],j=1..6),N[7]+N[8]];" }}{PARA 11 "" 1 " " {XPPMATH 20 "6#>%#N1G7)\"#B\"\")\"#@\"#6\"\"&\"\"$\"#5" }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 24 "k1:=describe[count](N1);" }}{PARA 11 "" 1 "" {XPPMATH 20 "6#>%#k1G\"\"(" }}}{PARA 11 "" 1 "" {TEXT -1 0 "" }}{EXCHG {PARA 0 "" 0 "" {TEXT -1 90 "Podm\355nky pou\236itelnosti \+ Pearsonova testu shody jsou ji\236 nyn\355 spln\354ny. Vypo\350\355t \341me realizaci " }{TEXT 497 1 "r" }{TEXT -1 22 " testovac\355ho krit \351ria " }{TEXT 507 1 "R" }{TEXT -1 1 "." }}{PARA 0 "" 0 "" {TEXT -1 0 "" }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 34 "r_j:=zip((x,y)->(x-y )^2/y,N1,np1);" }}{PARA 11 "" 1 "" {XPPMATH 20 "6#>%$r_jG7)$\"%o%)!\"% $\"%SV!\"$$\"%,OF+$\"%N8!\"&$\"%$o\"F+$\"%[ " 0 "" {MPLTEXT 1 0 23 "r:=sum(r_j[j],j=1..k1);" }}{PARA 11 "" 1 "" {XPPMATH 20 "6#>%\"rG$\"%/ " 0 "" {MPLTEXT 1 0 47 "P:=1-stats[statevalf,cdf,chisquare[k1-0-1]](r);" }} {PARA 11 "" 1 "" {XPPMATH 20 "6#>%\"PG$\"#\"*!\"%" }}}{EXCHG {PARA 0 " " 0 "" {TEXT -1 0 "" }}{PARA 0 "" 0 "" {TEXT -1 9 "Hypot\351zu " } {TEXT 442 3 "H_0" }{TEXT -1 45 " tedy zam\355t\341me, riziko omylu je \+ maxim\341ln\354 1%." }}}}}{SECT 1 {PARA 3 "" 0 "" {TEXT -1 10 "P\370 \355klad 2." }{MPLTEXT 1 0 0 "" }}{EXCHG {PARA 0 "" 0 "" {TEXT 429 93 "M\354\370en\355m meze pr\371ta\236nosti ocelov\375ch ty\350\355 jsme \+ z\355skali n\341sleduj\355c\355 v\375sledky (ve stovk\341ch MPa): " } {TEXT -1 0 "" }}{PARA 0 "" 0 "" {TEXT -1 479 "3.72, 2.06, 2.82, 1.23, \+ 1.57, 2.57, 0.14, 2.20, 1.65, 2.57, 4.05, 2.02, 2.76, 3.22, 2.08, 4.62 , 2.78, 2.02, 2.17, 3.38, 2.84, 2.78, 3.40, 0.95, 3.67, 2.45, 1.13, 1. 85, 2.11, 2.35, 1.14, 2.97, 2.08, 2.11, 2.65, 4.04, 0.89, 1.27, 0.93, \+ 1.68, 2.48, 4.50, 1.40, 2.56, 3.65, 2.95, 2.56, 3.19, 4.26, 1.54, 2.13 , 2.16, 3.03, 1.99, 1.70, 4.12, 3.03, 1.15, 2.93, 3.20, 2.28, 1.71, 2. 29, 2.27, 2.54, 2.20, 2.44, 3.80, 2.56, 3.86, 1.36, 3.93, 3.16, 3.88, \+ 1.72, 0.85, 1.97, 0.87, 4.24, 1.25." }}{PARA 0 "" 0 "" {TEXT -1 65 "Na jd\354te z nam\354\370en\375ch dat vhodn\375 model rozd\354len\355 mez e pr\371ta\236nosti." }{MPLTEXT 1 0 0 "" }}}{SECT 1 {PARA 4 "" 0 "" {TEXT -1 10 "\330e\232en\355 P2." }{MPLTEXT 1 0 0 "" }}{EXCHG {PARA 0 "" 0 "" {TEXT -1 8 "Ozna\350me " }{TEXT 360 1 "X" }{TEXT -1 23 " mez p r\371ta\236nosti oceli." }{TEXT 332 30 " Realizaci n\341hodn\351ho v \375b\354ru z " }{TEXT 363 1 "X" }{TEXT 364 21 " zap\355\232eme do sez namu " }{TEXT 361 4 "data" }{TEXT 362 27 ", kter\375 nebudeme vypisova t." }{MPLTEXT 1 0 0 "" }}{PARA 0 "" 0 "" {TEXT -1 0 "" }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 30 "restart;with(stats):Digits:=3:" }}} {EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 483 "data := [3.72, 2.06, 2.82, \+ 1.23, 1.57, 2.57, .14, 2.20, 1.65, 2.57, 4.05, 2.02, 2.76, 3.22, 2.08, 4.62, 2.78, 2.02, 2.17, 3.38, 2.84, 2.78, 3.40, .95, 3.67, 2.45, 1.13 , 1.85, 2.11, 2.35, 1.14, 2.97, 2.08, 2.11, 2.65, 4.04, .89, 1.27, .93 , 1.68, 2.48, 4.50, 1.40, 2.56, 3.65, 2.95, 2.56, 3.19, 4.26, 1.54, 2. 13, 2.16, 3.03, 1.99, 1.70, 4.12, 3.03, 1.15, 2.93, 3.20, 2.28, 1.71, \+ 2.29, 2.27, 2.54, 2.20, 2.44, 3.80, 2.56, 3.86, 1.36, 3.93, 3.16, 3.88 , 1.72, .85, 1.97, .87, 4.24, 1.25]:" }}}{EXCHG {PARA 0 "" 0 "" {TEXT -1 0 "" }}{PARA 0 "" 0 "" {TEXT -1 66 "Nejprve nakresl\355me histogra m relativn\355ch \350etnost\355 pomoc\355 p\370\355kazu:" }}{PARA 0 " " 0 "" {TEXT -1 0 "" }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 23 "with (stats[statplots]):" }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 64 "hist ogram(data, area=1, title='Histogram_relativn\355ch_\350etnost\355'); " }}{PARA 13 "" 1 "" {GLPLOT2D 400 300 300 {PLOTDATA 2 "6&-%)POLYGONSG 6,7&7$$\"#9!\"#\"\"!7$F($\"$D\"!\"%7$$\"$)e!\"$F-7$F1F+7&F47$F1$\"$>'F /7$$\"$/\"F*F77$F:F+7&F<7$F:$\"$-\"F37$$\"$[\"F*F?7$FBF+7&FD7$FB$\"$'* *F/7$$\"$$>F*FG7$FJF+7&FL7$FJ$\"$C#F37$$\"$Q#F*FO7$FRF+7&FT7$FR$\"$u\" F37$$\"$$GF*FW7$FZF+7&Ffn7$FZ$\"$C\"F37$$\"$G$F*Fin7$F\\oF+7&F^o7$F\\o $\"$4&F/7$$\"$s$F*Fao7$FdoF+7&Ffo7$FdoFG7$$\"$<%F*FG7$FjoF+7&F\\p7$Fjo $\"$)\\F/7$$\"$i%F*F_p7$FbpF+-%&TITLEG6#%?Histogram_relativn|hych_|cye tnost|hyG-%&COLORG6&%$RGBG$\"\"(!\"\"F]q$\"#5F_q-%%VIEWG6$;$!$3$F3$\"$ 2&F*%(DEFAULTG" 1 2 0 1 10 0 2 6 1 4 2 1.000000 45.000000 45.000000 0 0 "Curve 1" }}}}{EXCHG {PARA 256 "" 0 "" {TEXT -1 0 "" }}{PARA 0 "" 0 "" {TEXT -1 0 "" }}{PARA 0 "" 0 "" {TEXT -1 75 "Z histogramu realtivn \355ch \350etnost\355 se lze domn\355vat, \236e m\341 n\341hodn\341 v eli\350ina " }{TEXT 478 1 "X" }{TEXT -1 33 " norm\341ln\355 rozd\354le n\355, tj. hustotu" }}{PARA 0 "" 0 "" {TEXT -1 0 "" }}{PARA 0 "" 0 " " {TEXT -1 0 "" }}{PARA 256 "" 0 "" {XPPEDIT 18 0 "g(x,mu,sigma) = exp (-(x-mu)^2/2/(sigma^2))/(sqrt(2*Pi)*sigma)" "6#/-%\"gG6%%\"xG%#muG%&si gmaG*&-%$expG6#,$*(,&F'\"\"\"F(!\"\"\"\"#F3F2*$F)F3F2F2F1*&-%%sqrtG6#* &F3F1%#PiGF1F1F)F1F2" }{TEXT -1 0 "" }}{PARA 0 "" 0 "" {TEXT -1 0 "" } }{PARA 0 "" 0 "" {TEXT -1 0 "" }}{PARA 0 "" 0 "" {TEXT -1 1 " " } {MPLTEXT 1 0 0 "" }{TEXT -1 4 "pro " }{TEXT 365 1 "x" }{TEXT -1 15 " r e\341ln\351, kde " }}{PARA 256 "" 0 "" {XPPEDIT 18 0 "E(X)=mu;" "6#/ -%\"EG6#%\"XG%#muG" }}{PARA 256 "" 0 "" {XPPEDIT 18 0 "D(X)=sigma^2;" "6#/-%\"DG6#%\"XG*$%&sigmaG\"\"#" }}{PARA 0 "" 0 "" {TEXT -1 23 "jsou \+ nezn\341m\351 parametry." }}{PARA 0 "" 0 "" {TEXT -1 96 "Z realizace n \341hodn\351ho v\375b\354ru odhadneme st\370edn\355 hodnotu a sm\354r odatnou odchylku n\341hodn\351 veli\350iny " }{TEXT 481 1 "X" }{TEXT -1 48 ". Ozna\350me postupn\354 realizace t\354chto odhad\371 jako " } {TEXT 479 2 "m " }{TEXT -1 2 "a " }{TEXT 480 1 "s" }{TEXT -1 12 ". Dos taneme:" }}{PARA 0 "" 0 "" {TEXT -1 0 "" }}}{PARA 0 "" 0 "" {TEXT -1 0 "" }}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 61 "m:=describe[mean](dat a);s:=describe[standarddeviation](data);" }}{PARA 11 "" 1 "" {XPPMATH 20 "6#>%\"mG$\"$Y#!\"#" }}{PARA 11 "" 1 "" {XPPMATH 20 "6#>%\"sG$\"$%) *!\"$" }}}{EXCHG {PARA 0 "" 0 "" {TEXT -1 0 "" }}{PARA 0 "" 0 "" {TEXT -1 13 "Ur\350\355me rozsah" }{TEXT 513 1 " " }{TEXT -1 7 "v\375b \354ru " }{TEXT 515 1 "n" }{TEXT -1 44 " a realizaci n\341hodn\351ho v \375b\354ru rozt\370\355d\355me do" }{TEXT 509 2 " k" }{TEXT -1 6 " t \370\355d " }{TEXT 510 3 "T_j" }{TEXT -1 3 " (" }{TEXT 511 1 "j" } {TEXT -1 11 " = 1, ..., " }{TEXT 579 1 "k" }{TEXT -1 9 "). Po\350et " }{TEXT 512 1 "k" }{TEXT -1 91 " t\370\355d zvol\355me vzhledem k rozsa hu v\375b\354ru 10. Z histogramu je z\370ejm\351, \236e sta\350\355 in terval (0,5)" }{TEXT 359 1 " " }{TEXT -1 68 "rozd\354lit na 10 podinte rval\371 d\351lky 0.5. V\375sledky zap\355\232eme do seznamu " }{TEXT 514 5 "data1" }{TEXT -1 1 "." }}{PARA 0 "" 0 "" {TEXT -1 0 "" }}} {EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 137 "n:=describe[count](data);da ta1:=stats[transform,tallyinto](data,[0..0.5,0.5..1,1..1.5,1.5..2,2..2 .5,2.5..3,3..3.5,3.5..4,4..4.5,4.5..5]);" }}{PARA 11 "" 1 "" {XPPMATH 20 "6#>%\"nG\"#!)" }}{PARA 12 "" 1 "" {XPPMATH 20 "6#>%&data1G7,-%'Wei ghtG6$;\"\"$$\"#N!\"\"\"\")-F'6$;$\"\"&F-\"\"\"F3-F'6$;F+\"\"%\"\"(-F' 6$;F4$\"#:F-F.-F'6$;F8$\"#XF-F3-F'6$;F=\"\"#\"#5-F'6$;FBF3FG-F'6$;FG$ \"#DF-\"#>-F'6$;FOF*F>;\"\"!F2" }}}{EXCHG {PARA 0 "" 0 "" {TEXT -1 0 " " }}{PARA 0 "" 0 "" {TEXT -1 81 "P\370ed realizac\355 Pearsonova testu shody je\232t\354 nakresl\355me graf hypotetick\351 hustoty " } {TEXT 367 1 "g" }{TEXT -1 67 " a histogram do jednoho obr\341zku. To z a\370\355d\355me n\341sleduj\355c\355mi p\370\355kazy:" }}{PARA 0 "" 0 "" {TEXT -1 0 "" }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 48 "data2: =stats[transform,scaleweight[1/n]](data1);" }{TEXT -1 0 "" }}{PARA 12 "" 1 "" {XPPMATH 20 "6#>%&data2G7,-%'WeightG6$;\"\"$$\"#N!\"\"#\"\"\" \"#5-F'6$;$\"\"&F-F/#F/\"#;-F'6$;F+\"\"%#\"\"(\"#!)-F'6$;F/$\"#:F-F.-F '6$;F;$\"#XF-F6-F'6$;FB\"\"##F/\"\")-F'6$;FGF5#F/\"#S-F'6$;FL$\"#DF-# \"#>F>-F'6$;FWF*#F*F7-F'6$;\"\"!F4#F/F>" }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 68 "statplots[histogram](data2,title='Histogram_a_hypotet ick\341_hustota'):" }}{PARA 0 "> " 0 "" {MPLTEXT 1 0 57 "plot(stats[st atevalf,pdf,normald[m,s]], 0..6, color=red):" }}{PARA 0 "> " 0 "" {MPLTEXT 1 0 23 "plots[display](\{%,%%\});" }}{PARA 13 "" 1 "" {GLPLOT2D 400 300 300 {PLOTDATA 2 "6'-%'CURVESG6$7Y7$\"\"!$\"$y\"!\"%7 $$\"$J\"!\"$$\"$Y#F+7$$\"$X#F/$\"$A$F+7$$\"$s$F/$\"$F%F+7$$\"$,&F/$\"$ f&F+7$$\"$I'F/$\"$>(F+7$$\"$\\(F/$\"$%*)F+7$$\"$r)F/$\"$5\"F/7$$\"$*** F/$\"$N\"F/7$$\"$8\"!\"#$\"$j\"F/7$$\"$D\"FX$\"$!>F/7$$\"$Q\"FX$\"$A#F /7$$\"$]\"FX$\"$_#F/7$$\"$i\"FX$\"$#GF/7$$\"$v\"FX$\"$7$F/7$$\"$)=FX$ \"$T$F/7$$\"$+#FX$\"$j$F/7$$\"$7#FX$\"$#QF/7$$\"$D#FX$\"$'RF/7$$\"$G#F X$\"$*RF/7$$\"$J#FX$\"$,%F/7$$\"$N#FX$\"$.%F/7$$\"$Q#FX$\"$/%F/7$$\"$W #FX$\"$0%F/7$$\"$]#FXFir7$$\"$c#FXF_r7$$\"$i#FX$\"$+%F/7$$\"$p#FX$\"$% RF/7$$\"$v#FX$\"$)QF/7$$\"$)GFX$\"$q$F/7$$\"$+$FX$\"$\\$F/7$$F]pFX$\"$ C$F/7$$\"$D$FX$\"$%HF/7$$\"$Q$FX$FcsF/7$$\"$]$FX$\"$K#F/7$$\"$i$FX$\"$ -#F/7$$\"$v$FX$\"$s\"F/7$$F_tFX$\"$V\"F/7$$FesFX$\"$>\"F/7$$\"$7%FX$\" $x*F+7$$\"$D%FX$\"$v(F+7$$\"$Q%FX$\"$/'F+7$$\"$]%FX$\"$t%F+7$$\"$i%FX$ \"$k$F+7$$\"$v%FX$\"$q#F+7$$\"$)[FX$\"$(>F+7$$\"$+&FX$\"$X\"F+7$$\"$7& FX$\"$0\"F+7$$\"$D&FX$\"$G(!\"&7$$\"$Q&FX$\"$'\\F`z7$$\"$]&FX$\"$V$F`z 7$$\"$i&FX$\"$M#F`z7$$\"$v&FX$\"$_\"F`z7$$\"$)eFX$\"$m*!\"'7$\"\"'$\"$ F'Fj[l-%'COLOURG6&%$RGBG$\"*++++\"!\")$F(F(Ff\\l-%)POLYGONSG6-7&7$\"\" $F(7$F\\]l$FepF/7$$\"#N!\"\"F^]l7$F`]lF(7&7$$\"\"&Fb]lF(7$Ff]l$FgnF/7$ \"\"\"Fi]l7$F[^lF(7&Fc]l7$F`]l$F[pF/7$\"\"%F_^l7$Fa^lF(7&F\\^l7$F[^lF^ ]l7$$\"#:Fb]lF^]l7$Ff^lF(7&Fb^l7$Fa^lFi]l7$$\"#XFb]lFi]l7$F\\_lF(7&Fh^ l7$Ff^l$F]sF/7$\"\"#Fa_l7$Fc_lF(7&F^_l7$F\\_l$FcyF+7$Fg]lFg_l7$Fg]lF(7 &Fd_l7$Fc_l$\"$w%F/7$$\"#DFb]lF\\`l7$F_`lF(7&Fa`l7$F_`l$\"$w$F/7$F\\]l Fd`lF[]l7&7$F(F(7$F($F]sF+7$Ff]lFj`lFe]l-%&COLORG6&Fb\\l$\"\"(Fb]lF_al $\"#5Fb]l-%&TITLEG6#%@Histogram_a_hypotetick|\\y_hustotaG-%+AXESLABELS G6$Q!6\"Fjal-%%VIEWG6$;$!0+++++++&!#:$F\\\\lF(%(DEFAULTG" 1 2 0 1 10 0 2 9 1 4 2 1.000000 45.000000 45.000000 0 0 "Curve 1" "Curve 2" }}}} {EXCHG {PARA 0 "" 0 "" {TEXT -1 0 "" }}{PARA 0 "" 0 "" {TEXT -1 201 "N a tomto m\355st\354 si dovolujeme upozornit, \236e p\370edchoz\355 dva histogramy vytvo\370en\351 ze stejn\351 realizace, tj. ze stejn\375ch \372daj\371, se opticky podstatn\354 li\232\355. R\371zn\351 vzhledy \+ jsou zp\371sobeny rozd\355lnou volbou t\370\355d " }{TEXT 504 3 "T_j " }{TEXT -1 1 "." }}{PARA 0 "" 0 "" {TEXT -1 75 "Posledn\355 obr\341ze k op\354t sv\354d\350\355 ve prosp\354ch hypot\351zy, \236e m\341 n \341hodn\341 veli\350ina " }{TEXT 366 1 "X" }{TEXT -1 21 " norm\341ln \355 rozd\354len\355. " }}{PARA 0 "" 0 "" {TEXT -1 22 "Pro v\375po\350 et realizace " }{TEXT 516 1 "r" }{TEXT -1 22 " testovac\355ho krit\351 ria " }}{PARA 256 "" 0 "" {XPPEDIT 18 0 "R:=sum((N_j-n*p_j)^2/(n*p_j), j=1..k):" "6#>%\"RG-%$sumG6$*&,&%$N_jG\"\"\"*&%\"nGF+%$p_jGF+!\"\"\" \"#*&F-F+F.F+F//%\"jG;F+%\"kG" }}{PARA 0 "" 0 "" {TEXT -1 0 "" }} {PARA 0 "" 0 "" {TEXT -1 62 "Pearsonova testu shody uprav\355me sezna m rozt\370\355d\354n\375ch dat (tj. " }{TEXT 368 5 "data1" }{TEXT -1 23 ") tak, aby byly t\370\355dy " }{TEXT 482 3 "T_j" }{TEXT -1 51 " v seznamu se\370azeny vzestupn\354 podle horn\355ch hranic " }{TEXT 256 3 "h_j" }{TEXT -1 37 " t\354chto t\370\355d, v\375sledek ozna\350 \355me jako " }{TEXT 257 5 "data3" }{TEXT -1 27 ", d\341le vyp\355\232 eme ze seznamu " }{TEXT 258 6 "data3 " }{TEXT -1 7 " t\370\355dy " } {TEXT 259 3 "T_j" }{TEXT -1 17 ", horn\355 hranice " }{TEXT 260 3 "h_ j" }{TEXT -1 7 " t\370\355d " }{TEXT 261 3 "T_j" }{TEXT -1 23 " a ab solutn\355 \350etnosti " }{TEXT 262 3 "n_j" }{TEXT -1 57 " . V\375sled ky zap\355\232eme postupn\354 do seznam\371, kter\351 ozna\350\355me \+ " }{TEXT 263 1 "T" }{TEXT -1 2 ", " }{TEXT 264 1 "h" }{TEXT -1 2 ", " }{TEXT 265 1 "N" }{TEXT -1 31 ". Kone\350n\354 zap\355\232eme po\350e t t\370\355d " }{TEXT 292 3 "k. " }{TEXT -1 10 "Dostaneme:" }}{PARA 0 "" 0 "" {TEXT -1 0 "" }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 34 "dat a3:=transform[statsort](data1);" }}{PARA 12 "" 1 "" {XPPMATH 20 "6#>%& data3G7,;\"\"!$\"\"&!\"\"-%'WeightG6$;F(\"\"\"F)-F,6$;F/$\"#:F*\"\")-F ,6$;F3\"\"#\"#5-F,6$;F9$\"#DF*\"#>-F,6$;F>\"\"$F4-F,6$;FD$\"#NF*F5-F,6 $;FH\"\"%\"\"(-F,6$;FM$\"#XF*F)-F,6$;FRF)F9" }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 52 "T:=transform[statvalue](data3);h:=map(x->op(2,x),T );" }{TEXT -1 0 "" }}{PARA 0 "> " 0 "" {MPLTEXT 1 0 53 "N:=transform[f requency](data3);k:=describe[count](h);" }{TEXT -1 0 "" }}{PARA 11 "" 1 "" {XPPMATH 20 "6#>%\"TG7,;\"\"!$\"\"&!\"\";F(\"\"\";F,$\"#:F*;F.\" \"#;F1$\"#DF*;F3\"\"$;F6$\"#NF*;F8\"\"%;F;$\"#XF*;F=F)" }}{PARA 11 "" 1 "" {XPPMATH 20 "6#>%\"hG7,$\"\"&!\"\"\"\"\"$\"#:F(\"\"#$\"#DF(\"\"$$ \"#NF(\"\"%$\"#XF(F'" }}{PARA 11 "" 1 "" {XPPMATH 20 "6#>%\"NG7,\"\"\" \"\"&\"\")\"#5\"#>\"#:F(\"\"(F'\"\"#" }}{PARA 11 "" 1 "" {XPPMATH 20 " 6#>%\"kG\"#5" }}}{EXCHG {PARA 0 "" 0 "" {TEXT -1 0 "" }}{PARA 0 "" 0 " " {TEXT -1 36 "V\355me, \236e teoretick\341 pravd\354podobnost " } {TEXT 266 3 "p_j" }{TEXT -1 33 " je pravd\354podobnost, \236e veli\350 ina " }{TEXT 267 1 "X" }{TEXT -1 25 " nabude hodnoty ze t\370\355dy " }{TEXT 268 4 "T_ j" }{TEXT -1 23 " za platnosti hypot\351zy " }{TEXT 443 3 "H_0" }{TEXT -1 10 ". Ozna\350me " }{TEXT 269 3 "G_j" }{TEXT -1 47 " hodnoty teoretick\351 distibu\350n\355 funkce veli\350iny " } {TEXT 270 1 "X" }{TEXT -1 7 " (tj. " }{TEXT 271 1 "N" }{TEXT -1 34 "( 2.46,0.984)) v horn\355ch hranic\355ch " }{TEXT 272 3 "h_j" }{TEXT -1 7 ". Potom" }}{PARA 0 "" 0 "" {TEXT -1 0 "" }}{PARA 256 "" 0 "" {TEXT 273 2 "p_" }{TEXT -1 6 "1 = " }{TEXT 274 2 "G_" }{TEXT -1 5 "1, " }{TEXT 275 4 "p_j " }{TEXT -1 4 " = " }{TEXT 276 3 "G_j" }{TEXT -1 3 " - " }{TEXT 277 2 "G_" }{TEXT -1 1 "(" }{TEXT 524 2 "j-" }{TEXT -1 8 "1) pro " }{TEXT 278 1 "j" }{TEXT -1 11 " = 2, ..., " }{TEXT 279 3 "k -" }{TEXT -1 4 " 1, " }{TEXT 280 3 "p_k" }{TEXT -1 6 " = 1 -" }{TEXT 525 3 " G_" }{TEXT -1 1 "(" }{TEXT 523 2 "k-" }{TEXT -1 5 "1) . " }} {PARA 0 "" 0 "" {TEXT -1 0 "" }}{PARA 0 "" 0 "" {TEXT -1 51 "V\375sled ky budeme op\354t zapisovat do seznam\371. Ozna\350me " }{TEXT 281 2 " G " }{TEXT -1 35 "seznam hodnot distribu\350n\355ch funkc\355 " } {TEXT 282 4 "G_j " }{TEXT -1 2 "a " }{TEXT 283 1 "p" }{TEXT -1 32 " se znam hodnot pravd\354podobnost\355 " }{TEXT 284 3 "p_j" }{TEXT -1 10 " . Hodnoty " }{TEXT 369 3 "G_j" }{TEXT -1 64 " budeme po\350\355tat pom oc\355 nab\355dky podknihovny statevalf. Dostaneme:" }}{PARA 0 "" 0 " " {TEXT -1 0 "" }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 43 "G:=stats[ statevalf,cdf,normald[m,s] ](h); " }}{PARA 0 "> " 0 "" {MPLTEXT 1 0 45 "p:=[G[1],seq(G[j]-G[j-1],j=2..k-1),1-G[k-1]];" }}{PARA 0 "> " 0 " " {MPLTEXT 1 0 25 "(1=zk1)=sum(p[j],j=1..k);" }}{PARA 11 "" 1 "" {XPPMATH 20 "6#>%\"GG7,$\"$K#!\"%$\"$!pF($\"$l\"!\"$$\"$?$F-$\"$;&F-$ \"$3(F-$\"$b)F-$\"$T*F-$\"$\")*F-$\"$&**F-" }}{PARA 11 "" 1 "" {XPPMATH 20 "6#>%\"pG7,$\"$K#!\"%$\"$e%F($\"$g*F($\"$b\"!\"$$\"$'>F/$ \"$#>F/$\"$Z\"F/$\"#')F/$\"#SF/$\"#>F/" }}{PARA 11 "" 1 "" {XPPMATH 20 "6#//\"\"\"%$zk1G$\"$+\"!\"#" }}}{EXCHG {PARA 0 "" 0 "" {TEXT -1 0 "" }}{PARA 0 "" 0 "" {TEXT -1 76 "Pro ov\354\370en\355 pou\236itelnos ti Pearsonova testu vypo\350\355t\341me teoretick\351 \350etnosti " } {TEXT 285 6 "np_j " }{TEXT -1 31 "a v\375sledek zap\355\232eme do sez namu " }{TEXT 286 2 "np" }{TEXT -1 1 "." }}{PARA 0 "" 0 "" {TEXT -1 0 "" }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 58 "np:=transform[divideby [1/n]](p);(n=zk2)=sum(np[j],j=1..k);" }}{PARA 11 "" 1 "" {XPPMATH 20 " 6#>%#npG7,$\"$'=!\"#$\"$m$F($\"$o(F($\"$C\"!\"\"$\"$d\"F/$\"$a\"F/$\"$ =\"F/$\"$)oF($\"$?$F($\"$_\"F(" }}{PARA 11 "" 1 "" {XPPMATH 20 "6#//\" #!)%$zk2G$\"$,)!\"\"" }}}{EXCHG {PARA 0 "" 0 "" {TEXT -1 0 "" }}{PARA 0 "" 0 "" {TEXT -1 20 "Vzhledem k tomu, \236e " }{TEXT 287 5 "np_j " } {TEXT -1 4 "nen\355" }{TEXT 445 1 " " }{TEXT -1 35 "v\354t\232\355 neb o rovno 5 pro alespo\362 80% " }{TEXT 288 1 "j" }{TEXT -1 217 ", nejs ou spln\354ny podm\355nky pou\236itelnosti Pearsonova testu. K odstan \354n\355 tohoto nedostaku slou\350\355me prvn\355 dv\354 a posledn \355 dv\354 t\370\355dy. Se\350teme p\370\355slu\232n\351 teoretick \351 a empirick\351 \350etnosti, v\375sledky zap\355\232eme do nov\375 ch seznam\371 " }{TEXT 289 3 "np1" }{TEXT -1 2 ", " }{TEXT 290 2 "N1" }{TEXT -1 32 ". Zap\355\232eme tak\351 nov\375 po\350et t\370\355d " } {TEXT 291 2 "k1" }{TEXT -1 1 "." }}{PARA 0 "" 0 "" {TEXT -1 0 "" }}} {EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 50 "np1:=[np[1]+np[2],seq(np[j], j=3..8),np[9]+np[10]];" }{TEXT -1 0 "" }}{PARA 11 "" 1 "" {XPPMATH 20 "6#>%$np1G7*$\"$_&!\"#$\"$o(F($\"$C\"!\"\"$\"$d\"F-$\"$a\"F-$\"$=\"F-$ \"$)oF($\"$s%F(" }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 44 "N1:=[N[1 ]+N[2],seq(N[j],j=3..8),N[9]+N[10]];" }}{PARA 11 "" 1 "" {XPPMATH 20 " 6#>%#N1G7*\"\"'\"\")\"#5\"#>\"#:F'\"\"(F+" }}}{EXCHG {PARA 0 "> " 0 " " {MPLTEXT 1 0 24 "k1:=describe[count](N1);" }}{PARA 11 "" 1 "" {XPPMATH 20 "6#>%#k1G\"\")" }}}{EXCHG {PARA 0 "" 0 "" {TEXT -1 0 "" }} {PARA 0 "" 0 "" {TEXT -1 90 "Podm\355nky pou\236itelnosti Pearsonova t estu shody jsou ji\236 nyn\355 spln\354ny. Vypo\350\355t\341me realiza ci " }{TEXT 499 1 "r" }{TEXT -1 22 " testovac\355ho krit\351ria " } {TEXT 378 1 "R" }{TEXT -1 1 "." }}{PARA 0 "" 0 "" {TEXT -1 0 "" }}} {EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 57 "r_j:=zip((x,y)->(x-y)^2/y,N1 ,np1);r:=sum(r_j[j],j=1..k1);" }}{PARA 11 "" 1 "" {XPPMATH 20 "6#>%$r_ jG7*$\"$<%!\"%$\"$L\"F($\"$l%!\"$$\"$%pF-$\"$/\"F($\"$A\"!\"#$\"$4#!\" &$\"$5\"F4" }}{PARA 11 "" 1 "" {XPPMATH 20 "6#>%\"rG$\"$a$!\"#" }}} {EXCHG {PARA 0 "" 0 "" {TEXT -1 0 "" }}{PARA 0 "" 0 "" {TEXT -1 20 "Te stovac\355 krit\351rium " }{TEXT 370 1 "R" }{TEXT -1 17 " m\341 za pla tnosti " }{TEXT 444 3 "H_0" }{TEXT -1 37 " asymptoticky Pearsonovo roz d\354len\355 s " }{TEXT 371 2 "k1" }{TEXT -1 3 " - " }{TEXT 589 1 "u" }{TEXT -1 27 " - 1 stupni volnosti, kde " }{TEXT 483 1 "u" }{TEXT -1 65 " je po\350et nezn\341m\375ch parametr\371 v rozd\354len\355 v nulo v\351 hypot\351ze, tj. " }{TEXT 372 4 "u = " }{TEXT -1 43 "2. Vzhledem k tomu, \236e v prosp\354ch hypot\351zy " }{TEXT 446 3 "H_0" }{TEXT -1 15 " sv\354d\350\355 hodnoty" }{TEXT 374 2 " r" }{TEXT -1 22 " test ovac\355ho krit\351ria " }{TEXT 375 1 "R" }{TEXT -1 24 " bl\355zk\351 \+ \350\355slu nula, pro " }{TEXT 373 1 "P" }{TEXT -1 20 "- hodnotu dosta neme:" }}{PARA 0 "" 0 "" {TEXT -1 0 "" }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 47 "P:=1-stats[statevalf,cdf,chisquare[k1-2-1]](r);" }} {PARA 11 "" 1 "" {XPPMATH 20 "6#>%\"PG$\"$<'!\"$" }}}{EXCHG {PARA 0 " " 0 "" {TEXT -1 0 "" }}{PARA 0 "" 0 "" {TEXT -1 48 "Hypot\351zu o norm \341ln\355m rozd\354len\355 n\341hodn\351 veli\350iny " }{TEXT 447 1 " X" }{TEXT -1 134 " tedy nezam\355t\341me, proto\236e riziko myln\351h o zam\355tnut\355 je maxim\341ln\354 61.7%. Pro nam\354\370en\341 dat a je tedy vhodn\375m modelem norm\341ln\355 rozd\354len\355." }}}}} {SECT 1 {PARA 3 "" 0 "" {TEXT -1 10 "P\370\355klad 3." }{MPLTEXT 1 0 0 "" }}{EXCHG {PARA 0 "" 0 "" {TEXT -1 89 "Stodvacetkr\341t jsme h\341 zeli hrac\355 kostkou, p\370i\350em\236 jsme obdr\236eli v\375sledky \+ zapsan\351 ve tvaru" }}{PARA 256 "" 0 "" {TEXT -1 61 "Po\350et ok / Po \350et v\375sledk\371: 1/6, 2/23, 3/21, 4/21, 5/23, 6/26." }}{PARA 0 " " 0 "" {TEXT -1 120 "Ov\354\370te na hladin\354 v\375znamnosti 0.05, r esp 0.01, zda 1 a\236 5 ok pad\341 stejn\354 \350asto a 6 ok pad\341 2 -kr\341t \350ast\354ji ne\236 jedno oko." }{MPLTEXT 1 0 0 "" }}}{SECT 1 {PARA 4 "" 0 "" {TEXT -1 10 "\330e\232en\355 P3." }{MPLTEXT 1 0 0 " " }}{EXCHG {PARA 0 "" 0 "" {TEXT -1 66 "Ozna\350me po\350et ok, kter \351 padnou p\370i jednom hodu hrac\355 kostkou, jako" }{TEXT 380 2 " \+ X" }{TEXT -1 28 ". Chceme ov\354\370it, zda plat\355 " }{TEXT 381 1 " P" }{TEXT -1 1 "(" }{TEXT 526 3 "X =" }{TEXT -1 3 " 1)" }{TEXT 527 4 " = " }{TEXT -1 3 "..." }{TEXT 558 4 " = P" }{TEXT -1 1 "(" }{TEXT 528 4 "X = " }{TEXT -1 2 "5)" }{TEXT 529 3 ", P" }{TEXT -1 1 "(" } {TEXT 530 4 "X = " }{TEXT -1 2 "6)" }{TEXT 531 3 " = " }{TEXT -1 1 "2 " }{TEXT 532 1 "P" }{TEXT -1 1 "(" }{TEXT 533 4 "X = " }{TEXT -1 2 "1) " }{TEXT 534 2 ", " }{TEXT -1 4 "tj. " }{TEXT 382 1 "P" }{TEXT -1 1 "( " }{TEXT 535 4 "X = " }{TEXT -1 2 "1)" }{TEXT 536 4 " = " }{TEXT -1 3 "..." }{TEXT 559 5 " = P" }{TEXT -1 1 "(" }{TEXT 537 4 "X = " } {TEXT -1 2 "5)" }{TEXT 538 3 " = " }{TEXT -1 3 "1/7" }{TEXT 539 3 ", P " }{TEXT -1 1 "(" }{TEXT 540 4 "X = " }{TEXT -1 2 "6)" }{TEXT 541 3 " \+ = " }{TEXT -1 35 "2/7. Budeme tedy testovat hypot\351zu " }{TEXT 379 3 "H_0" }{TEXT -1 2 ": " }{TEXT 450 1 "X" }{TEXT -1 29 " m\341 pravd \354podobnostn\355 funkci " }{TEXT 383 1 "g" }{TEXT -1 1 "(" }{TEXT 542 1 "x" }{TEXT -1 1 ")" }{TEXT 543 3 " = " }{TEXT -1 8 "1/7 pro " } {TEXT 384 4 "x = " }{TEXT -1 4 "1, 2" }{TEXT 544 2 ", " }{TEXT -1 3 ". .." }{TEXT 560 2 " ," }{TEXT -1 2 " 5" }{TEXT 545 1 "," }{TEXT -1 2 " \+ " }{TEXT 385 1 "g" }{TEXT -1 1 "(" }{TEXT 546 1 "x" }{TEXT -1 1 ")" } {TEXT 547 3 " = " }{TEXT -1 7 "2/7 pro" }{TEXT 386 5 " x = " }{TEXT -1 1 "6" }{TEXT 548 1 " " }{TEXT -1 10 "a pro jin\341" }{TEXT 387 2 " \+ x" }{TEXT -1 4 " je " }{TEXT 388 1 "g" }{TEXT -1 1 "(" }{TEXT 549 1 "x " }{TEXT -1 1 ")" }{TEXT 550 3 " = " }{TEXT -1 18 "0 proti hypot\351z e " }{TEXT 449 1 "H" }{TEXT -1 2 ": " }{TEXT 451 1 "X" }{TEXT -1 31 " \+ nem\341 pravd\354podobnostn\355 funkci " }{TEXT 389 1 "g" }{TEXT -1 1 "(" }{TEXT 551 1 "x" }{TEXT -1 132 "). Realizaci n\341hodn\351ho v\375 b\354ru ji\236 m\341me rozt\370\355d\354nou do t\370\355d. T\370\355dy a absolutn\355 \350etnosti zapi\232me do seznam\371, kter\351 ozna \350m\355me postupn\354 " }{TEXT 390 1 "T" }{TEXT -1 3 " a " }{TEXT 391 1 "N" }{TEXT -1 1 "." }}{PARA 0 "" 0 "" {TEXT -1 0 "" }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 18 "restart;Digits:=4:" }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 12 "with(stats):" }}}{EXCHG {PARA 0 "> \+ " 0 "" {MPLTEXT 1 0 19 "T:=[seq(j,j=1..6)];" }}{PARA 11 "" 1 "" {XPPMATH 20 "6#>%\"TG7(\"\"\"\"\"#\"\"$\"\"%\"\"&\"\"'" }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 22 "N:=[6,23,21,21,23,26];" }}{PARA 11 "" 1 "" {XPPMATH 20 "6#>%\"NG7(\"\"'\"#B\"#@F(F'\"#E" }}}{PARA 11 "" 1 "" {TEXT -1 0 "" }}{EXCHG {PARA 0 "" 0 "" {TEXT -1 15 "Zap\355\232em e po\350et " }{TEXT 392 1 "k" }{TEXT -1 23 " t\370\355d a rozsah v \375b\354ru " }{TEXT 393 1 "n" }{TEXT -1 50 ". Teoretick\351 pravd\354 podobnosti zap\355\232eme do seznamu " }{TEXT 394 1 "p" }{TEXT -1 1 ". " }}{PARA 0 "" 0 "" {TEXT -1 1 " " }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 22 "k:=describe[count](N);" }}{PARA 11 "" 1 "" {XPPMATH 20 "6#>%\"kG\"\"'" }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 20 "n:=sum (N[j],j=1..k);" }}{PARA 11 "" 1 "" {XPPMATH 20 "6#>%\"nG\"$?\"" }}} {EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 29 "p:=[1/7,1/7,1/7,1/7,1/7,2/7] ;" }}{PARA 11 "" 1 "" {XPPMATH 20 "6#>%\"pG7(#\"\"\"\"\"(F&F&F&F&#\"\" #F(" }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 25 "(1=zk1)=sum(p[j],j=1 ..k);" }}{PARA 11 "" 1 "" {XPPMATH 20 "6#//\"\"\"%$zk1GF%" }}}{EXCHG {PARA 0 "" 0 "" {TEXT -1 0 "" }}{PARA 0 "" 0 "" {TEXT -1 89 "Pro ov \354\370en\355 podm\355nek pou\236itelnosti Pearsonova testu shody vyp o\350\355t\341me teoretick\351 \350etnosti " }{TEXT 395 4 "np_j" } {TEXT -1 32 " a v\375sledek zap\355\232eme do seznamu " }{TEXT 396 2 " np" }{TEXT -1 1 "." }}{PARA 0 "" 0 "" {TEXT -1 0 "" }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 32 "np:=transform[divideby[1/n]](p);" }{TEXT -1 0 "" }}{PARA 11 "" 1 "" {XPPMATH 20 "6#>%#npG7(#\"$?\"\"\"(F&F&F&F& #\"$S#F(" }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 13 "np:=evalf(%);" }}{PARA 11 "" 1 "" {XPPMATH 20 "6#>%#npG7($\"%9 " 0 "" {MPLTEXT 1 0 29 "(n=zk2)=sum(op(j,np),j=1. .k);" }}{PARA 11 "" 1 "" {XPPMATH 20 "6#//\"$?\"%$zk2G$\"%+7!\"\"" }}} {EXCHG {PARA 0 "" 0 "" {TEXT -1 0 "" }}{PARA 0 "" 0 "" {TEXT -1 87 "Po dm\355nky pou\236itelnosti Pearsonova testu shody jsou spln\354ny, v ypo\350\355t\341me tedy realizaci" }{TEXT 397 3 " r " }{TEXT -1 21 "te stovac\355ho krit\351ria " }}{PARA 256 "" 0 "" {XPPEDIT 18 0 "R := sum ((N_j-n*p_j)^2/(n*p_j),j = 1 .. k)" "6#>%\"RG-%$sumG6$*&,&%$N_jG\"\"\" *&%\"nGF+%$p_jGF+!\"\"\"\"#*&F-F+F.F+F//%\"jG;F+%\"kG" }}{PARA 0 "" 0 "" {TEXT -1 17 "Pearsonova testu." }}}{PARA 0 "" 0 "" {TEXT -1 0 "" }} {EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 32 "r_j:=zip((x,y)->(x-y)^2/y,N, np);" }}{PARA 11 "" 1 "" {XPPMATH 20 "6#>%$r_jG7($\"%Ss!\"$$\"%/?F($\" %$p)!\"%F+F)F)" }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 22 "r:=sum(r_ j[j],j=1..k);" }{TEXT -1 0 "" }}{PARA 11 "" 1 "" {XPPMATH 20 "6#>%\"rG $\"%)\\\"!\"#" }}}{EXCHG {PARA 0 "" 0 "" {TEXT -1 0 "" }}{PARA 0 "" 0 "" {TEXT -1 7 "Ur\350\355me " }{TEXT 398 1 "P" }{TEXT -1 10 " - hodnot u" }}{PARA 0 "" 0 "" {TEXT -1 0 "" }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 46 "P:=1-stats[statevalf,cdf,chisquare[k-0-1]](r);" }} {PARA 11 "" 1 "" {XPPMATH 20 "6#>%\"PG$\"$/\"!\"%" }}}{EXCHG {PARA 0 " " 0 "" {TEXT -1 0 "" }}{PARA 0 "" 0 "" {TEXT -1 9 "Hypot\351zu " } {TEXT 452 4 "H_0 " }{TEXT -1 169 "tedy na hladin\354 v\375znamnosti 0. 05 nezam\355t\341me, na hladin\354 v\375znamnosti 0.01 zam\355t\341me. Pro n\341zornost je\232t\354 nakresl\355me histogram a graf hypoteti ck\351 pravd\354podobnostn\355 funkce." }}{PARA 0 "" 0 "" {TEXT -1 0 " " }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 16 "with(statplots):" }} {PARA 0 "> " 0 "" {MPLTEXT 1 0 127 "data1:=[ Weight(1..1, 6/n), Weight (2..2, 20/n), Weight(3..3,20/n), Weight(4..4, 21/n), Weight(5..5, 23/n ), Weight(6..6, 30/n)]:" }}{PARA 0 "> " 0 "" {MPLTEXT 1 0 87 "histogra m(data1, color=green, title='Histogram_a_hypotetick\341_pravd\354podob nost\355_funkce'):" }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 68 "g:=[[ i,p[i]] $i=1..6]:plot(g, x=0..6, style = point, symbol=circle):" }}} {EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 24 "plots[display](\{%,%%%\});" }}{PARA 13 "" 1 "" {GLPLOT2D 400 300 300 {PLOTDATA 2 "6'-%'CURVESG6&7( 7$$\"\"\"\"\"!$\"3\\G9dG9dG9!#=7$$\"\"#F*F+7$$\"\"$F*F+7$$\"\"%F*F+7$$ \"\"&F*F+7$$\"\"'F*$\"3)p&G9dG9dGF--%'COLOURG6&%$RGBG$\"#5!\"\"$F*F*FF -%&STYLEG6#%&POINTG-%'SYMBOLG6#%'CIRCLEG-%)POLYGONSG6)7&7$F-%\"gG6$%\"xG%'lambdaG*(-%$expG6#,$F(!\"\"\"\"\")F(F' F/-%*factorialG6#F'F." }}{PARA 0 "" 0 "" {TEXT -1 3 "kde" }}{PARA 256 "" 0 "" {XPPEDIT 18 0 "E(X) = lambda" "6#/-%\"EG6#%\"XG%'lambdaG" } {TEXT -1 0 "" }}{PARA 0 "" 0 "" {TEXT -1 30 "je nezn\341m\375 parametr . Pro jin\351 " }{TEXT 402 2 "x " }{TEXT -1 3 "je " }{TEXT 403 1 "g" } {TEXT -1 1 "(" }{TEXT 553 1 "x" }{TEXT -1 3 ") " }{TEXT 424 2 "= " } {TEXT -1 2 "0." }}{PARA 0 "" 0 "" {TEXT -1 29 "Realizaci n\341hodn\351 ho v\375b\354ru z " }{TEXT 404 1 "X" }{TEXT -1 21 " zap\355\232eme do \+ seznamu " }{TEXT 405 4 "data" }{TEXT -1 49 ", kter\375 nebudeme vypiso vat. Vypo\350teme realizaci " }{TEXT 406 1 "m" }{TEXT -1 41 " odhadu \+ st\370edn\355 hodnoty n\341hodn\351 veli\350iny " }{TEXT 407 1 "X" } {TEXT -1 43 ". D\341le realizaci v\375b\354ru rozt\370\355d\355me do t \370\355d " }{TEXT 408 3 "T_j" }{TEXT -1 20 ", v\375sledek ozna\350 \355me " }{TEXT 409 5 "data1" }{TEXT -1 1 "." }}{PARA 0 "" 0 "" {TEXT -1 0 "" }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 18 "restart;Digits:=4 :" }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 12 "with(stats):" }}} {EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 459 "data := [0, 0, 0, 0, 1, 1, \+ 0, 1, 1, 1, 0, 0, 1, 0, 0, 2, 1, 0, 1, 2, 2, 0, 0, 0, 1, 0, 0, 1, 2, 1 , 0, 1, 1, 1, 0, 0, 0, 1, 0, 1, 0, 3, 0, 1, 1, 0, 1, 3, 0, 0, 1, 1, 1, 0, 0, 2, 0, 0, 1, 0, 1, 1, 2, 1, 2, 1, 0, 3, 0, 3, 0, 2, 0, 0, 0, 1, \+ 0, 1, 0, 0, 1, 1, 0, 1, 0, 0, 0, 1, 0, 1, 0, 0, 1, 0, 1, 3, 1, 0, 1, 0 , 0, 0, 2, 0, 0, 2, 1, 0, 2, 1, 2, 2, 2, 1, 0, 0, 1, 0, 0, 0, 1, 2, 0, 1, 0, 0, 1, 1, 1, 1, 3, 1, 1, 0, 0, 2, 0, 2, 0, 2, 1, 2, 2, 0, 2, 0, \+ 2, 0, 0, 1]:" }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 66 "m:=describe [mean](data);m:=evalf(%);data1:=transform[tally](data);" }}{PARA 11 " " 1 "" {XPPMATH 20 "6#>%\"mG#\"#>\"#D" }}{PARA 11 "" 1 "" {XPPMATH 20 "6#>%\"mG$\"%+w!\"%" }}{PARA 11 "" 1 "" {XPPMATH 20 "6#>%&data1G7&-%'W eightG6$\"\"!\"#q-F'6$\"\"\"\"#_-F'6$\"\"#\"#A-F'6$\"\"$\"\"'" }}} {EXCHG {PARA 0 "" 0 "" {TEXT -1 0 "" }}{PARA 0 "" 0 "" {TEXT -1 59 "Na kresl\355me histogram a graf hypotetick\351 rozd\354lovac\355 funkce. " }}{PARA 0 "" 0 "" {TEXT -1 0 "" }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 23 "with(stats[statplots]):" }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 148 "n:=describe[count](data):data2:=[Weight(0..0,70), We ight(1..1,52), Weight(2..2,22), Weight(3..3,6)]:data3:=stats[transform ,scaleweight[1/n]](data2):" }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 201 "histogram(data3, colour=green):d := [[ i,statevalf[pf,poisson[m]] (i)] $i=0..9]:\nplot(d, x=-1..10, style=point,symbol=circle, title='Hi stogram_a_hypotetick\341_rozd\354lovac\355_funkce'):plots[display](\{% ,%%%\});" }}{PARA 13 "" 1 "" {GLPLOT2D 400 300 300 {PLOTDATA 2 "6'-%'C URVESG6&7,7$$\"\"!F)$\"3/++++++xY!#=7$$\"\"\"F)$\"3%************Rb$F,7 $$\"\"#F)$\"3)************4N\"F,7$$\"\"$F)$\"3/++++++AM!#>7$$\"\"%F)$ \"3$)***********4]'!#?7$$\"\"&F)$\"3g++++++#))*!#@7$$\"\"'F)$\"33+++++ +_7FH7$$\"\"(F)$\"3/++++++f8!#A7$$\"\")F)$\"3-++++++\"H\"!#B7$$\"\"*F) $\"3)**************3\"!#C-%'COLOURG6&%$RGBG$\"#5!\"\"F(F(-%'SYMBOLG6#% 'CIRCLEG-%&STYLEG6#%&POINTG-%)POLYGONSG6'7&7$F/F)7$F/#\"#E\"#vF^pF]p7& 7$F)F)7$F)#FP\"#:FdpFcp7&7$F4F)7$F4#\"#6FapFipFhp7&7$F9F)7$F9#F/\"#DF^ qF]q-F[o6&F]oF($\"*++++\"!\")F(-%+AXESLABELSG6$Q\"x6\"Q!Fjq-%&TITLEG6# %KHistogram_a_hypotetick|\\y_rozd|gylovac|hy_funkceG-%%VIEWG6$;$F`oF)$ F_oF)%(DEFAULTG" 1 2 0 1 10 0 2 9 1 4 2 1.000000 45.000000 45.000000 0 0 "Curve 1" "Curve 2" }}}}{EXCHG {PARA 256 "" 0 "" {TEXT -1 0 "" }}} {PARA 13 "" 1 "" {TEXT -1 0 "" }}{PARA 0 "" 0 "" {TEXT -1 0 "" }} {EXCHG {PARA 0 "" 0 "" {TEXT -1 61 "Z obr\341zku plyne, \236e se lze \+ domn\355vat, \236e m\341 n\341hodn\341 veli\350ina " }{TEXT 410 1 "X" }{TEXT -1 58 " Poissonovo rozd\354len\355. P\370ejd\354me tedy na v \375po\350et realizace " }{TEXT 411 1 "r" }{TEXT -1 22 " testovac\355h o krit\351ria " }}{PARA 256 "" 0 "" {XPPEDIT 18 0 "R := sum((N_j-n*p_j )^2/(n*p_j),j = 1 .. k)" "6#>%\"RG-%$sumG6$*&,&%$N_jG\"\"\"*&%\"nGF+%$ p_jGF+!\"\"\"\"#*&F-F+F.F+F//%\"jG;F+%\"kG" }{TEXT -1 0 "" }}{PARA 0 " " 0 "" {TEXT -1 35 "Pearsonova testu shody. Ze seznamu " }{TEXT 412 5 "data1" }{TEXT -1 16 " vyp\355\232eme t\370\355dy " }{TEXT 413 3 "T_j " }{TEXT -1 21 ", absolutn\355 \350etnosti " }{TEXT 414 3 "n_j" } {TEXT -1 26 " a zap\355\232eme je do seznam\371 " }{TEXT 415 1 "T" } {TEXT -1 3 " a " }{TEXT 416 1 "N" }{TEXT -1 23 ". Ur\350\355me rozsah \+ v\375b\354ru " }{TEXT 417 1 "n" }{TEXT -1 23 " a zap\355\232eme po\350 et t\370\355d " }{TEXT 418 1 "k" }{TEXT -1 12 ". Dostaneme:" }}{PARA 0 "" 0 "" {TEXT -1 0 "" }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 31 "T :=transform[statvalue](data1);" }}{PARA 0 "> " 0 "" {MPLTEXT 1 0 78 "N :=transform[frequency](data1);n:=describe[count](data);k:=describe[cou nt](T);" }{TEXT -1 0 "" }}{PARA 11 "" 1 "" {XPPMATH 20 "6#>%\"TG7&\"\" !\"\"\"\"\"#\"\"$" }}{PARA 11 "" 1 "" {XPPMATH 20 "6#>%\"NG7&\"#q\"#_ \"#A\"\"'" }}{PARA 11 "" 1 "" {XPPMATH 20 "6#>%\"nG\"$]\"" }}{PARA 11 "" 1 "" {XPPMATH 20 "6#>%\"kG\"\"%" }}}{EXCHG {PARA 0 "" 0 "" {TEXT -1 0 "" }}{PARA 0 "" 0 "" {TEXT -1 38 "Vypo\350\355t\341me teoretick \351 pravd\354podobnosti" }}{PARA 0 "" 0 "" {TEXT -1 0 "" }}{PARA 256 "" 0 "" {TEXT -1 1 " " }{TEXT 419 8 "p_j = P" }{TEXT -1 1 "(" }{TEXT 564 11 "X = T_j/H_0" }{TEXT -1 1 ")" }{TEXT 565 4 " = g" }{TEXT -1 1 " (" }{TEXT 566 5 "T_j,m" }{TEXT -1 1 ")" }{TEXT 567 2 " " }{TEXT -1 5 "pro " }{TEXT 456 4 "j = " }{TEXT -1 7 "1, ...," }{TEXT 554 2 " k" } {TEXT -1 2 "-1" }{TEXT 555 8 ", p_k = " }{TEXT -1 1 "1" }{TEXT 556 3 " - " }{TEXT -1 1 "(" }{TEXT 563 2 "p_" }{TEXT -1 1 "1" }{TEXT 580 3 " \+ + " }{TEXT -1 3 "..." }{TEXT 562 5 " + p_" }{TEXT -1 1 "(" }{TEXT 557 2 "k-" }{TEXT -1 2 "1)" }}{PARA 0 "" 0 "" {TEXT -1 0 "" }}{PARA 0 "" 0 "" {TEXT -1 26 " a zap\355\232eme je do seznamu " }{TEXT 420 1 "p" } {TEXT -1 50 ". Ov\354\370\355me podm\355nky pou\236itelnosti Pearsonov a testu." }}{PARA 0 "" 0 "" {TEXT -1 0 "" }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 112 "p:= [seq(stats[statevalf,pf,poisson[m] ](T[j]),j=1.. k-1),1-sum(stats[statevalf,pf,poisson[m] ](T[j]),j=1..k-1)];" }}{PARA 11 "" 1 "" {XPPMATH 20 "6#>%\"pG7&$\"%xY!\"%$\"%aNF($\"%^8F($\"$=%F(" }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 25 "(1=zk1)=sum(p[j],j=1..k); " }}{PARA 11 "" 1 "" {XPPMATH 20 "6#//\"\"\"%$zk1G$\"%+5!\"$" }}} {EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 32 "np:=transform[divideby[1/n]] (p);" }{TEXT -1 0 "" }}{PARA 11 "" 1 "" {XPPMATH 20 "6#>%#npG7&$\"%;q! \"#$\"%J`F($\"%E?F($\"%qi!\"$" }}}{EXCHG {PARA 257 "" 0 "" {TEXT -1 0 "" }{MPLTEXT 1 0 26 "(n=zk2)=sum(np[j],j=1..k);" }}{PARA 11 "" 1 "" {XPPMATH 20 "6#//\"$]\"%$zk2G$\"%,:!\"\"" }}}{EXCHG {PARA 0 "" 0 "" {TEXT -1 0 "" }}{PARA 0 "" 0 "" {TEXT -1 85 "Vzhledem k tomu, \236e js ou spln\354ny podm\355nky pou\236itelnosti testu, vypo\350\355t\341me realizaci " }{TEXT 421 2 "r " }{TEXT -1 21 "testovac\355ho krit\351ri a " }{TEXT 422 1 "R" }{TEXT -1 1 "." }}{PARA 0 "" 0 "" {TEXT -1 0 "" } }}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 32 "r_j:=zip((x,y)->(x-y)^2/y, N,np);" }}{PARA 11 "" 1 "" {XPPMATH 20 "6#>%$r_jG7&$\"%\\O!\"($\"%>K! \"&$\"%&\\\"!\"%$\"%j6F+" }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 22 "r:=sum(r_j[j],j=1..k);" }{TEXT -1 0 "" }}{PARA 11 "" 1 "" {XPPMATH 20 "6#>%\"rG$\"%O>!\"%" }}}{EXCHG {PARA 0 "" 0 "" {TEXT -1 0 "" }} {PARA 0 "" 0 "" {TEXT -1 7 "Ur\350\355me " }{TEXT 423 1 "P" }{TEXT -1 85 "-hodnotu testu. Proto\236e jsme m\354li v nulov\351 hypot\351ze je den nezn\341m\375 parametr, dostaneme" }}{PARA 0 "" 0 "" {TEXT -1 0 " " }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 46 "P:=1-stats[statevalf,cd f,chisquare[k-1-1]](r);" }}{PARA 11 "" 1 "" {XPPMATH 20 "6#>%\"PG$\"%x !*!\"%" }}}{EXCHG {PARA 0 "" 0 "" {TEXT -1 0 "" }}{PARA 0 "" 0 "" {TEXT -1 86 "Hypot\351zu o shod\354 s Poissonov\375m rozd\354len\355m \+ tedy na hladin\354 v\375znamnosti 0.05 nezam\355t\341me." }}}}}{SECT 1 {PARA 3 "" 0 "" {TEXT -1 10 "P\370\355klad 5." }{MPLTEXT 1 0 0 "" }} {EXCHG {PARA 0 "" 0 "" {TEXT -1 39 "Realizace n\341hodn\351ho v\375b \354ru z rozd\354len\355 " }{TEXT 464 4 " X " }{TEXT -1 27 "byla rozt \370\355d\354na n\341sledovn\354:" }}{PARA 0 "" 0 "" {TEXT -1 0 "" }} {PARA 258 "" 0 "" {TEXT 457 11 "\310\355slo t\370\355dy" }{TEXT -1 21 " /interval /\350etnost: " }}{PARA 258 "" 0 "" {TEXT 458 1 "1" }{TEXT -1 19 " / 2.0 - 2.5 / 1, " }}{PARA 258 "" 0 "" {TEXT 459 1 "2" } {TEXT -1 20 " / 2.5 - 3.0 / 4, " }}{PARA 258 "" 0 "" {TEXT 460 1 "3 " }{TEXT -1 20 " / 3.0 - 3.5 / 5, " }}{PARA 258 "" 0 "" {TEXT 461 1 "4" }{TEXT -1 20 " / 3.5 - 4.0 / 6, " }}{PARA 258 "" 0 "" {TEXT 462 1 "5" }{TEXT -1 20 " / 4.0 - 4.5 / 6, " }}{PARA 258 "" 0 "" {TEXT 463 1 "6" }{TEXT -1 17 " / 4.5 - 5.0 /18." }}{PARA 0 "" 0 "" {TEXT -1 0 "" }}{PARA 0 "" 0 "" {TEXT -1 60 "Ov\354\370te na hladin\354 v\375zn amnosti 0.05, zda m\341 n\341hodn\341 veli\350ina " }{TEXT 466 1 "X" } {TEXT -1 19 " distribu\350n\355 funkci" }}{PARA 256 "" 0 "" {XPPEDIT 18 0 "G(x)=x^2/9-4/9*x+4/9;" "6#/-%\"GG6#%\"xG,(*&F'\"\"#\"\"*!\"\"\" \"\"*(\"\"%F-F+F,F'F-F,*&F/F-F+F,F-" }}{PARA 0 "" 0 "" {TEXT -1 3 "pro " }{TEXT 465 2 " x" }{TEXT -1 23 " z intervalu [2,5], pro" }{TEXT 485 6 " x < " }{TEXT -1 6 "2 je " }{TEXT 486 1 "G" }{TEXT -1 1 "(" } {TEXT 581 1 "x" }{TEXT -1 1 ")" }{TEXT 582 3 " = " }{TEXT -1 7 "0, pro " }{TEXT 487 4 "x > " }{TEXT -1 5 "5 je " }{TEXT 488 1 "G" }{TEXT -1 1 "(" }{TEXT 561 1 "x" }{TEXT -1 1 ")" }{TEXT 568 3 " = " }{TEXT -1 2 "1." }{MPLTEXT 1 0 0 "" }}}{SECT 1 {PARA 4 "" 0 "" {TEXT -1 12 "V\375s ledek P5." }{MPLTEXT 1 0 0 "" }}{EXCHG {PARA 0 "" 0 "" {TEXT -1 20 "Hy pot\351zu nezam\355t\341me." }{MPLTEXT 1 0 0 "" }}}}}{SECT 1 {PARA 3 " " 0 "" {TEXT -1 10 "P\370\355klad 6." }{MPLTEXT 1 0 0 "" }}{EXCHG {PARA 0 "" 0 "" {TEXT -1 29 "Realizace n\341hodn\351ho v\375b\354ru z \+ " }{TEXT 489 1 "X" }{TEXT -1 3 " je" }}{PARA 0 "" 0 "" {TEXT -1 398 "4 .4, 3.6, 3.7, 4.8, 5.5, 7.0, 1.3, 6.8, 5.8, 7.0, 3.1, 3.5, 7.4, 1.3, 1 .7, 8.7, 7.5, 4.6, 6.1, 8.4, 8.6, 2.2, 2.3, 4.4, 5.2, 3.2, 2.8, 6.4, 7 .8, 6.4, 3.2, 7.3, 7.0, 6.0, 3.5, 1.0, 1.6, 6.1, 2.0, 6.4, 2.1, 8.9, 4 .6, 6.9, 5.0, 2.6, 7.6, 8.9, 2.0, 3.7, 7.4, 6.0, 6.9, 4.2, 2.4, 8.3, 3 .2, 4.6, 7.2, 1.6, 5.9, 5.4, 8.1, 6.0, 8.3, 5.2, 4.6, 8.8, 4.3, 8.9, 2 .3, 8.0, 3.7, 1.5, 2.0, 5.6, 2.2, 5.4, 1.7, 3.9" }}{PARA 0 "" 0 "" {TEXT -1 59 "Ov\354\370te na hladin\354 v\375znamnosti 0.05, zda m\341 n\341hodn\341 veli\350ina" }{TEXT 491 3 " X" }{TEXT -1 10 " hustotu " }{TEXT 469 1 "g" }{TEXT -1 1 "(" }{TEXT 570 1 "x" }{TEXT -1 1 ")" } {TEXT 571 3 " = " }{TEXT -1 1 "(" }{TEXT 572 2 "x-" }{TEXT -1 5 "1)/32 " }{TEXT 573 1 " " }{TEXT -1 4 "pro " }{TEXT 470 1 "x" }{TEXT -1 21 " \+ z intervalu (1,9), " }{TEXT 490 1 "g" }{TEXT -1 1 "(" }{TEXT 569 1 "x " }{TEXT -1 1 ")" }{TEXT 574 3 " = " }{TEXT -1 8 "0 jinak." }{MPLTEXT 1 0 0 "" }}}{SECT 1 {PARA 4 "" 0 "" {TEXT -1 12 "V\375sledek P6." } {MPLTEXT 1 0 0 "" }}{EXCHG {PARA 0 "" 0 "" {TEXT -1 18 "Hypot\351zu za m\355t\341me." }{MPLTEXT 1 0 0 "" }}}}}{SECT 1 {PARA 3 "" 0 "" {TEXT -1 10 "P\370\355klad 7." }{MPLTEXT 1 0 0 "" }}{EXCHG {PARA 0 "" 0 "" {TEXT -1 129 "Na ur\350it\351m m\355st\354 d\341lnice byly m\354\370en y \350asov\351 odstupy v sekund\341ch mezi po sob\354 jedouc\355mi voz idly. Byly nam\354\370eny n\341sleduj\355c\355 hodnoty" }}{PARA 0 "" 0 "" {TEXT -1 0 "" }}{PARA 0 "" 0 "" {TEXT -1 79 " 2.32, 1.6 1, 1.76, 2.68, 3.40, 5.71, 0.14, 5.34, 3.86, 5.71, " } {MPLTEXT 0 21 0 "" }}{PARA 0 "" 0 "" {TEXT -1 78 " 1.26, 1.5 5, 6.63, 0.17, 0.38, 13.4, 7.01, 2.52, 4.30, 10.6," }}{PARA 0 "" 0 "" {TEXT -1 79 " 1.38, 6.55, 5.80, 4.12, 1.57, 0.02 , 0.33, 4.30, 0.59, 4.63, " }{MPLTEXT 0 21 0 "" }}{PARA 0 "" 0 "" {TEXT -1 78 " 0.61, 20.1, 2.51, 5.67, 2.91, 0.93, 7.26, 20.1, 0.52, 1.74," }}{PARA 0 "" 0 "" {TEXT -1 78 " 6.59, \+ 4.14, 5.55, 2.14, 0.82, 10.3, 1.38, 2.52, 6.13, 0.35," }} {PARA 0 "" 0 "" {TEXT -1 78 " 3.87, 3.36, 9.30, 4.04, 10. 2, 3.11, 2.47, 16.5, 2.22, 20.7," }}{PARA 0 "" 0 "" {TEXT -1 78 " 0.72, 8.92, 1.73, 0.28, 0.53, 3.56, 0.68, 3.36, 0.36 , 1.86," }}{PARA 0 "" 0 "" {TEXT -1 78 " 4.80, 5.17, 1.10, 4.92, 0.87, 0.05, 0.23, 3.26, 0.47, 4.84," }}{PARA 0 "" 0 "" {TEXT -1 78 " 0.11, 0.54, 4.55, 0.42, 6.30, 18.4, 4.67, 0.60, 5.88, 0.63," }}{PARA 0 "" 0 "" {TEXT -1 78 " 1.78, \+ 2.37, 9.55, 2.78, 1.23, 12.8, 4.30, 0.70, 8.09, 4.75," }} {PARA 0 "" 0 "" {TEXT -1 78 " 13.8, 8.63, 9.84, 3.33, 0.3 7, 0.29, 4.06, 1.06, 1.33, 2.20," }}{PARA 0 "" 0 "" {TEXT -1 79 " 4.50, 9.13, 1.11, 3.88, 0.30, 1.62, 3.95, 5.00, 6.51 , 3.50, " }}{PARA 0 "" 0 "" {TEXT -1 78 " 17.5, 6.96, 4.38 , 1.06, 0.26, 9.05, 0.97, 8.30, 0.60, 9.47," }}{PARA 0 "" 0 "" {TEXT -1 78 " 7.26, 9.97, 7.96, 2.31, 12.3, 1.80, 8.59, 0.11, 0.91, 3.32," }}{PARA 0 "" 0 "" {TEXT -1 78 " 3.42, \+ 1.68, 1.24, 4.71, 1.65, 5.59, 3.07, 7.55, 1.95, 1.63," }} {PARA 0 "" 0 "" {TEXT -1 79 " 3.17, 1.69, 6.26, 1.47, 0.1 5, 0.14, 0.17, 2.61, 4.55, 0.23, " }}{PARA 0 "" 0 "" {TEXT -1 78 " 1.89, 7.30, 2.71, 1.05, 0.77, 4.04, 8.01, 4.16, 3.8 5, 3.46," }}{PARA 0 "" 0 "" {TEXT -1 78 " 1.19, 0.23, 1.66 , 6.38, 2.29, 5.71, 4.92, 4.17, 0.38, 23.0," }}{PARA 0 "" 0 "" {TEXT -1 78 " 0.86, 2.64, 0.41, 7.46, 8.76, 1.26, 0.28, 1.59, 11.7, 3.66." }}{PARA 0 "" 0 "" {MPLTEXT 0 21 4 " " }} {PARA 0 "" 0 "" {TEXT -1 100 "Ov\354\370te na hladin\354 v\375znamnost i 0.05, zda se \350asov\375 odstup \370\355d\355 exponenci\341ln\355m \+ modelem, tj. m\341 hustotu" }}{PARA 256 "" 0 "" {XPPEDIT 18 0 "g(x,c): =exp(-x/c)/c; " "6#>-%\"gG6$%\"xG%\"cG*&-%$expG6#,$*&F'\"\"\"F(!\"\"F0 F/F(F0" }}{PARA 0 "" 0 "" {TEXT -1 3 "pro" }{TEXT 500 5 " x > " } {TEXT -1 12 "0, pro jin\341 " }{TEXT 501 1 "x" }{TEXT -1 4 " je " } {TEXT 502 1 "g" }{TEXT -1 1 "(" }{TEXT 575 3 "x,c" }{TEXT -1 1 ")" } {TEXT 576 2 " =" }{TEXT -1 9 " 0, kde " }{TEXT 503 4 "c > " }{TEXT -1 23 "0 je nezn\341m\375 parametr. " }{MPLTEXT 1 0 0 "" }}}{SECT 1 {PARA 4 "" 0 "" {TEXT -1 13 "V\375sledek P7." }{MPLTEXT 1 0 0 "" }} {EXCHG {PARA 0 "" 0 "" {TEXT -1 56 "Hypot\351zu o shod\354 s exponenci \341ln\355m rozd\354len\355m nezam\355t\341me." }{MPLTEXT 1 0 0 "" }}} }}{SECT 1 {PARA 3 "" 0 "" {TEXT -1 10 "P\370\355klad 8." }{MPLTEXT 1 0 0 "" }}{EXCHG {PARA 0 "" 0 "" {TEXT -1 38 "Realizace n\341hodn\351ho v\375b\354ru z rozd\354len\355" }{TEXT 484 2 " X" }{TEXT -1 3 " je" } }{PARA 0 "" 0 "" {TEXT -1 299 "2, 2, 2, 2, 2, 3, 1, 3, 2, 3, 2, 2, 3, \+ 1, 1, 3, 3, 2, 2, 3, 3, 1, 1, 2, 2, 2, 2, 3, 3, 3, 2, 3, 3, 2, 2, 0, 1 , 2, 1, 3, 1, 3, 2, 3, 2, 1, 3, 3, 1, 2, 3, 2, 3, 2, 1, 3, 2, 2, 3, 1, 2, 2, 3, 2, 3, 2, 2, 3, 2, 3, 1, 3, 2, 1, 1, 2, 1, 2, 1, 2, 3, 3, 2, \+ 3, 1, 0, 1, 2, 1, 3, 0, 1, 3, 1, 3, 3, 3, 1, 3, 1." }}{PARA 0 "" 0 "" {TEXT -1 41 "Ov\354\370te hypot\351zu, zda m\341 n\341hodn\341 veli \350ina " }{TEXT 467 1 "X" }{TEXT -1 20 " rozd\354lovac\355 funkci" } }{PARA 256 "" 0 "" {XPPEDIT 18 0 "g(x)=(x^2+4)/30;" "6#/-%\"gG6#%\"xG* &,&*$F'\"\"#\"\"\"\"\"%F,F,\"#I!\"\"" }}{PARA 0 "" 0 "" {TEXT -1 4 "pr o " }{TEXT 468 4 "x = " }{TEXT -1 13 "0, 1, 2, 3, " }{TEXT 492 1 "g" }{TEXT -1 1 "(" }{TEXT 577 1 "x" }{TEXT -1 1 ")" }{TEXT 578 3 " = " } {TEXT -1 49 "0 jinak. P\370\355pustn\351 riziko omylu je maxim\341ln \354 5%." }{MPLTEXT 1 0 0 "" }}}{SECT 1 {PARA 4 "" 0 "" {TEXT -1 12 " V\375sledek P8." }{MPLTEXT 1 0 0 "" }}{EXCHG {PARA 0 "" 0 "" {TEXT -1 18 "Hypot\351zu zam\355t\341me." }{MPLTEXT 1 0 0 "" }}}}}{SECT 1 {PARA 3 "" 0 "" {TEXT -1 10 "P\370\355klad 9." }{MPLTEXT 1 0 0 "" }} {EXCHG {PARA 0 "" 0 "" {TEXT -1 155 "V osud\355 m\341 b\375t 10 kuli \350ek s \350\355sly 1 a\236 10. Vytahovali jsme opakovan\354 jednu ku li\350ku, zapsali \350\355slo a kuli\350ku vr\341tili zp\354t. Dostali jsme n\341sleduj\355c\355 v\375sledky" }}{PARA 0 "" 0 "" {TEXT -1 248 "5, 4, 4, 5, 6, 8, 1, 8, 7, 8, 3, 4, 8, 1, 1, 10, 9, 5, 7, 10, 10, 2, 2, 5, 6, 3, 3, 7, 9, 7, 3, 8, 8, 7, 4, 1, 1, 7, 2, 7, 2, 10, 5, 8, 6, 2, 9, 10, 2, 4, 8, 7, 8, 5, 2, 10, 3, 5, 8, 1, 7, 6, 9, 7, 10, 6, \+ 5, 10, 5, 10, 2, 9, 4, 1, 2, 6, 2, 6, 1, 4." }}{PARA 0 "" 0 "" {TEXT -1 86 "Ov\354\370te na hladin\354 v\375znamnosti 0.05, zda jsou v osud \355 skute\350n\354 kuli\350ky s \350\355sly 1 a\236 10." }{MPLTEXT 1 0 0 "" }}}{SECT 1 {PARA 4 "" 0 "" {TEXT -1 12 "V\375sledek P9." } {MPLTEXT 1 0 0 "" }}{EXCHG {PARA 0 "" 0 "" {TEXT -1 20 "Hypot\351zu ne zam\355t\341me." }{MPLTEXT 1 0 0 "" }}}}}{SECT 1 {PARA 3 "" 0 "" {TEXT -1 11 "P\370\355klad 10." }{MPLTEXT 1 0 0 "" }}{EXCHG {PARA 0 " " 0 "" {TEXT -1 220 "Nagenerujte a) 15 hodnot, b) 50 hodnot, c) 300 ho dnot norm\341ln\355 n\341hodn\351 veli\350iny se st\370edn\355 hodnoto u 0 a sm\354rodatnou odchylkou 2. Potom pomoc\355 Pearsonova testu ov \354\370te shodu s norm\341ln\355m rozd\354len\355m (s nezn\341m\375mi parametry)." }{MPLTEXT 1 0 0 "" }}}{SECT 1 {PARA 4 "" 0 "" {TEXT -1 13 "V\375sledek P10." }{MPLTEXT 1 0 0 "" }{TEXT -1 1 " " }}{EXCHG {PARA 0 "" 0 "" {TEXT -1 146 "a) Nelze pou\236\355t Pearson\371v test. b) M\371\236e se st\341t, \236e shodu s norm\341ln\355m rozd\354len \355m zam\355tneme. c) Shodu s norm\341ln\355m rozd\354len\355m nej \350ast\354ji nezam\355t\341me." }{MPLTEXT 1 0 0 "" }}}}}{SECT 1 {PARA 3 "" 0 "" {TEXT -1 11 "P\370\355klad 11." }{MPLTEXT 1 0 0 "" }} {EXCHG {PARA 0 "" 0 "" {TEXT -1 59 "Nagenerujte 250 hodnot normovan \351 norm\341ln\355 n\341hodn\351 veli\350iny " }{TEXT 425 3 "X_1" } {TEXT -1 51 " a 250 hodnot normovan\351 norm\341ln\355 n\341hodn\351 \+ veli\350iny " }{TEXT 426 3 "X_2" }{TEXT -1 65 " . Potom ur\350ete pomo c\355 Pearsonova testu vhodn\375 model pro veli\350inu" }{MPLTEXT 1 0 0 "" }}{PARA 256 "" 0 "" {XPPEDIT 18 0 "Y:=X_1^2+X_2^2" "6#>%\"YG,&*$% $X_1G\"\"#\"\"\"*$%$X_2GF(F)" }}}{SECT 1 {PARA 4 "" 0 "" {TEXT -1 13 " V\375sledek P11." }{MPLTEXT 1 0 0 "" }{TEXT -1 1 " " }}{EXCHG {PARA 0 "" 0 "" {TEXT -1 88 "Nej\350ast\354ji vyjde, \236e jako vhodn\351 se \+ jev\355 Pearsonovo rozd\354len\355 se dv\354ma stupni volnosti." } {MPLTEXT 1 0 0 "" }}}}}{SECT 1 {PARA 3 "" 0 "" {TEXT -1 11 "P\370\355k lad 12." }{MPLTEXT 1 0 0 "" }}{EXCHG {PARA 0 "" 0 "" {TEXT -1 61 "Nage nerujte 200 hodnot binomick\351 n\341hodn\351 prom\354nn\351 s paramet ry" }{TEXT 427 5 " n = " }{TEXT -1 4 "10, " }{TEXT 428 5 "p = " } {TEXT -1 67 "0.7 a pomoc\355 Pearsonova testu ov\354\370te shodu s bin omick\375m rozd\354len\355m." }{MPLTEXT 1 0 0 "" }}}{SECT 1 {PARA 4 " " 0 "" {TEXT -1 13 "V\375sledek P12." }{MPLTEXT 1 0 0 "" }}{EXCHG {PARA 0 "" 0 "" {TEXT -1 54 "Hypot\351zu o binomick\351m rozd\354len \355 nej\350ast\354ji nezam\355t\341me." }{MPLTEXT 1 0 0 "" }}}}}} {MARK "4 0 1" 0 }{VIEWOPTS 1 1 0 1 1 1803 1 1 1 1 }{PAGENUMBERS 0 1 2 33 1 1 }