Question

A physical therapist wanted to know whether the mean step pulse of men was less than the mean step pulse of women. She randomly selected 59 men and 75 women to participate in the study. Each subject was required to step up and down a 6-inch platform. The pulse of each subject was then recorded. The following results were obtained. Two sample T for Men vs Women Mean StDev 112.8 11.5 118.3 14.3 SE Mean 1.5 1.7 N Men Women 75 95% CI for mu Men-mu Women (-9.94, - 1.06) T-Test mu Men = mu Women (vs) T= -2.47 P = 0.0074 DF = 131 (a) State the null and alternative hypotheses. Which of the following is correct? O A. Ho-H4 = H2; Ha Hy > H2 O B. Ho: 44 = H2; Ha: 14 * 12 O c. Ho: M1 = H2 H H1 H2 Click to select your answer and then click Check Answer. A parts 4 Clear All Final Check Final Check remaining

a) State the null and alternative hypotheses. Which of the following is​ correct?

A. H0​: μ1=μ2​; Ha​: μ1<μ2 This is the correct answer.

B. H0​: μ1=μ2​; Ha​: μ1≠μ2

C. H0​: μ1=μ2​; Ha​: μ1>μ2  

​(b) Identify the​ P-value and state the​ researcher's conclusion if the level of significance was

α=_____

What is the​ P-value?

​P-value=____

State the​ researcher's conclusion. Which of the following is​ correct?

A. Fail to reject H0​,there is sufficient evidence to conclude that the mean step pulse of men was less than the mean step pulse of women

B. Reject H0​, there is not sufficient evidence to conclude that the mean step pulse of men was less than the mean step pulse of women

C. Fail to reject H0, there is not sufficient evidence to conclude that the mean step pulse of men was less than the mean step pulse of women

D. Reject H0​, there is sufficient evidence to conclude that the mean step pulse of men was less than the mean step pulse of women Your answer is correct.

​(c) What is the 95​% confidence interval for the mean difference in pulse rates of men versus​ women?

The lower bound is___________

The upper bound is______________

​(Round to two decimal places as​ needed.)

Interpret this result.

A.95​% percent of the time the means are in the confidence interval.

B.We are 95​% confident that the means are in the confidence interval.

C.We are 95​% confident that the mean difference is in the confidence interval. Your answer is correct.

D.95​% percent of the time the mean difference is in the confidence interval.

Answer 1

Jean men 12.8 ):S I4.3 112.3 Women elf mint-Sg Tesi stahistic, 2 (12.8- 118.3 [U-5 C4322 --S 22289 2.46 df 131

Page No Date P( tot - PC to.0s -2.46) .0073 99 P-value Pualue Decision RuLe- Reiect Ho,thene is Sefficient euidence to conclude Hot themean Step puulse of men was less than he mean Step Purle at Loo men 3,-2) t/2idf x S2 n2 112-9-118-3) 1.97 x 2.2289 -S.S-4.3 g0g, S.S + 4.3909) -9.890g 1091 g-8909 2h-el2 -11091 -9.8909 1owes bounl- -I1091 upper baiend Canfident that sthe mean difference We arre gr% is in the confidlence interual