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 54 men and 78 women platform. The pulse of each subject was then recorded. The following results were obtained. Two sample T for Men vs Women o participate in the study. Each subject was required to step up and down a 6-inch SE Mean 1.5 Mean StDev Men Women 90% CI for mu Men - mu Women 54 112.4 11.1 78 118.2 14.1 1.6 (-9.46, - 2.14) T-Test mu Men = mu Women (vs<) T= - 2.64 P = 0.0047 DF = 127

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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 54 men and 78 women to participate in the study. Each subject was required to step up and down a 6-inch
Two sample T for Men vs Women
StDev
Mean
SE Mean
platform. The pulse of each subject was then recorded. The following results were obtained.
Men
Women
90% Cl for
(-9.46, - 2.14)
T-Test mu Men = mu Women (vs <)
54
112.4
11.1
1.5
78
118.2
14.1
1.6
Men - mu Women
T= - 2.64 P = 0.0047 DF = 127
Transcribed Image Text: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 54 men and 78 women to participate in the study. Each subject was required to step up and down a 6-inch Two sample T for Men vs Women StDev Mean SE Mean platform. The pulse of each subject was then recorded. The following results were obtained. Men Women 90% Cl for (-9.46, - 2.14) T-Test mu Men = mu Women (vs <) 54 112.4 11.1 1.5 78 118.2 14.1 1.6 Men - mu Women T= - 2.64 P = 0.0047 DF = 127
(a) State the null and alternative hypotheses. Which of the following is correct?
O A. Ho: H1 = H2; Hai H1 #H2
O B. Ho: H1 = H2; Hai H1 > H2
OC. Ho: H1 = H2; HaiH1 <H2
(b) Identify the P-value and state the researcher's conclusion if the level of significance was a = 0.001. What is the P-value?
P-value =
State the researcher's conclusion. Which of the following is correct?
O A. Reject Ho, there is not sufficient evidence to conclude that the mean step pulse of men was less than the mean step pulse of women
O B. Reject Ho, there is sufficient evidence to conclude that the mean step pulse of men was less than the mean step pulse of women
OC. Fail to reject Ho, there is not sufficient evidence to conclude that the mean step pulse of men was less than the mean step pulse of women
O D. Fail to reject Ho, there is sufficient evidence to conclude that the mean step pulse of men was less than the mean step pulse of women
(c) What is the 90% 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.
O A. We are 90% confident that the means are in the confidence interval.
O B. 90% percent of the time the means are in the confidence interval.
O C. 90% percent of the time the mean difference is in the confidence interval.
O D. We are 90% confident that the mean difference is in the confidence interval.
Transcribed Image Text:(a) State the null and alternative hypotheses. Which of the following is correct? O A. Ho: H1 = H2; Hai H1 #H2 O B. Ho: H1 = H2; Hai H1 > H2 OC. Ho: H1 = H2; HaiH1 <H2 (b) Identify the P-value and state the researcher's conclusion if the level of significance was a = 0.001. What is the P-value? P-value = State the researcher's conclusion. Which of the following is correct? O A. Reject Ho, there is not sufficient evidence to conclude that the mean step pulse of men was less than the mean step pulse of women O B. Reject Ho, there is sufficient evidence to conclude that the mean step pulse of men was less than the mean step pulse of women OC. Fail to reject Ho, there is not sufficient evidence to conclude that the mean step pulse of men was less than the mean step pulse of women O D. Fail to reject Ho, there is sufficient evidence to conclude that the mean step pulse of men was less than the mean step pulse of women (c) What is the 90% 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. O A. We are 90% confident that the means are in the confidence interval. O B. 90% percent of the time the means are in the confidence interval. O C. 90% percent of the time the mean difference is in the confidence interval. O D. We are 90% confident that the mean difference is in the confidence interval.
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