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Using the information below, calculate the p-value for the imbedded 2-SampFTest

ID: 3216793 • Letter: U

Question

Using the information below, calculate the p-value for the imbedded 2-SampFTest and round to 4 decimal places.

An engineer suspects that the tensile strength of steel bars can be significantly increased by use of a new production method. In order to test this claim, he obtains the following data which represents the lbs/in^2 tensile strength.

..............Old Method......................... New Method............

362

352

380

382

395

389

421

394

384

400

378

419

389

402

422

416

384

388

372

383

400

386

411

405

413

379

407

402

389

411

408

362

352

380

382

395

389

421

394

384

400

378

419

389

402

422

416

384

388

372

383

400

386

411

405

413

379

407

402

389

411

                          

408

Explanation / Answer

as discussed above we are required to do F test for which

hence F stat =(s1/s2)2 =(313.231/128.691)=2.4340

from above at 13 and 16 degree of freedom ; p[ value =0.0472

old new 362 395 352 389 380 421 382 394 384 389 400 402 378 422 419 416 384 400 388 386 372 411 383 405 413 407 379 402 389 411 408 Variance 313.231 128.691