Question

Test the given claim. Use the P-value method or the traditional method as indicated. Identify the null hypothesis, alternative hypothesis, test statistic, critical value(s) or P-value, conclusion about the null hypothesis, and final conclusion that addresses the original claim. The mean resting pulse rate for men is 72 beats per minute. A simple random sample of men who regularly work out at Mitch's Gym is obtained and their resting pulse rates (in beats per minute) are listed below. Use a 0.05 significance level to test the claim that these sample pulse rates come from a population with a mean less than 72 beats per minute. Assume that the standard deviation of the resting pulse rates of all men who work out at Mitch's Gym is known to be 6.6 beats per minute. Use the traditional method of testing hypotheses. 54 59 69 84 74 64 69 70 66 80 59 71 76 63

Answer 1

denote and Let the population respectively s andard of resting and mean deriation men. pulse rate for elaim is M72 Here te al ternative The and null hypotheses are Ho M-72 M 72 Ha Here i s Known Given hat 6.6) he and Sample si ze i s SmalL.Given that S o wwww n 30.)

that the So AsSume We population of eshing for men pulse rahe follows normal dishmibuhion one sampLe perform We Z Hest statistie is He st The nX- .) where X Me sample meann and is the Valne under H

given da ta, we Freo m the 8et 958 958 68 429 14 value o65erved The hest sta histie of me 14 68 429 72) 6 6 Under Ho -72 72 - 2.024. 11

Left- he st is me AS Hest, So we hai Led LeveL a at Ho rejeet d Oo5. Here emtieal value The Zo05 I645 . CLearly Z - 2.024 -645 =-Zo 0.05 reject Ho at Level We O'O5 ..

here i s At sufficient evidenee ho elaim Hhat he Support Sample pul se from hese rates Come with a ean m population 6eats 7 2 han Less minnte per