Question

The authors of a research article compared two different instruments for measuring a person's capacity to breathe cut air. (This measurement is helpful in diaginating various lung disorders.) The two instruments considered were a Wright peak on meter and a mini Wight peak flow meter. Seventeen people participated in the study, and for each person, air flow wes massured once using the Wright meter and once using the mini-Wright meter. The Wright meter is thought to provide a better mexure of air flow, but the mini-Wright meter lossler to transport and to use. Use of the mini-Wright meter could be recommended as long as there is not convincing evidence that the mean reading for the mini-Wright meter is different from the mean reading for the Wright meter. For purposes of this exercise, you can assume that it is reasonable to consider the 17 people who participated in this study as representative samples from ther respective populations of measurement. Data values from this paper are given in the accompanying table. Subject Wright Meter Mini Wright Meter S10 430 1 494 2 3 520 4 428 5 500 395 516 434 476 557 113 442 6 600 364 380 8 9 658 650 10 449 433 417 20 556 11 12 13 14 15 478 260 477 259 350 451 178 423 15 17 425 Use the given data to determine if there is convincing evidence that the mean reading differs for the two Instuments. (Hint: See Example 13.2.) (Usce - 0.05. Use My - Hiri-Wright - wright? State the appropriate null and alternative hypotheses. HO Hoid HOM-0 Find the test statistic and P-value. (Use a table or technology. Round your test statistic to one decimal pace and your P-value to three decimal places.) C-4 pwalue = .692

Answer 1

Solutim: The are hypothesis Ho: Md Zo Ha: Md to Subject 2 3 4 6 7 8 11 510 430 520 428 500 600 364 380 658 uug 42 Min - Wright Meter (2) wright meter (y) 494 395 516 434 476 552 u 13 442 650 433 417 dastry 35 2u 43 -49 -62 8 16. 15 Subject 13. | Ч 16 17 626 260 477 259 350 usi Z d = 40 656 267 478 178 423 1425 d = x-y 1-30 -73 n= 17 Sample mean of difference of Ed 40 e 2.353 (16-2.353) + (35-2.3533+ E coli - at +66-2.353} 84d deni sd a 171 Qu169.882 Sdf 38.8667 16 Now Test 2.353-0 statistic t a-M Salon 38.8667/62 ta 0.2496 t = 0.2 p-value with at A-1-16 for two-tailed test is p-value = 0.80607 p-value 0.806