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 50 men and 74 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 N Mean StDev SE Mean Men Women 95% CI for mu Men - mu Women 50 112.3 11.7 17 74 118.2 14.9 1.7 (- 10.67, - 1.13) T-Test mu Men = mu Women (vs <) T= -2.46 P = 0.0076 DF = 119 W rUGIIUy uiervaIut au aait uIG IGacaIIGI a LUIILIUDIUIEI UIE ICVGI VI DIy GILG waa u-v.Ue. VVIIAL 13 u IE vaiucI P-value = 0.0076 State the researcher's conclusion. Which of the following correct? O A. Fail to reject Ho, there is sufficient evidence conclude that the mean step pulse of men was less than the mean step pulse of women O B. 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 Oc. Reject Ho, there is 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 not sufficient evidence to conclude that the mean step pulse of men was less than the mean step pulse of women (c) What is the 95% confidence interval for the mean difference pulse rates of men versus women? The lower bound is - 10.67. The upper bound is - 1.13 (Round to two decimal places as needed.) Interpret this result. O A. We are 95% confident that the means are in the confidence interval. O B. We are 95% confident that the mean difference is in the confidence interval. OC. 95% percent of the time the mean difference is in the confidence interval. O D. 95% percent of the time the means are in the confidence interval.

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
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Chapter10: Statistics
Section10.3: Measures Of Spread
Problem 1GP
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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 50 men and 74 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
SE Mean
Men
Women
50
11.7
112.3
118.2
1.7
74
14.9
1.7
95% Cl for mu Men - mu Women
(- 10.67, - 1.13)
T-Test mu Men = mu Women (vs <)
T= - 2.46 P =0.0076 DF = 119
U IuciTuny uit r-vaiut aliu JLalt uIC IcataIuIti O LUIIUIUJIUII II UIt ICVCI VI JIyı calico was u - u.Ue. VVIIGL 15 uIt r-vaiuc!
P-value = 0.0076
State the researcher's conclusion. Which of the following is correct?
O A. 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
B. 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
Oc. Reject Ho, there is 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 not sufficient evidence to conclude that the mean step pulse of men was less than the mean step pulse of women
(c) What is the 95% confidence interval for the mean difference in pulse rates of men versus women?
The lower bound is - 10.67.
The upper bound is - 1.13.
(Round to two decimal places as needed.)
Interpret this result.
A. We are 95% confident that the means are in the confidence interval.
O B. We are 95% confident that the mean difference is in the confidence interval.
C. 95% percent of the time the mean difference is in the confidence interval.
O D. 95% percent of the time the means are in the confidence interval.
O o o o
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 50 men and 74 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 SE Mean Men Women 50 11.7 112.3 118.2 1.7 74 14.9 1.7 95% Cl for mu Men - mu Women (- 10.67, - 1.13) T-Test mu Men = mu Women (vs <) T= - 2.46 P =0.0076 DF = 119 U IuciTuny uit r-vaiut aliu JLalt uIC IcataIuIti O LUIIUIUJIUII II UIt ICVCI VI JIyı calico was u - u.Ue. VVIIGL 15 uIt r-vaiuc! P-value = 0.0076 State the researcher's conclusion. Which of the following is correct? O A. 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 B. 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 Oc. Reject Ho, there is 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 not sufficient evidence to conclude that the mean step pulse of men was less than the mean step pulse of women (c) What is the 95% confidence interval for the mean difference in pulse rates of men versus women? The lower bound is - 10.67. The upper bound is - 1.13. (Round to two decimal places as needed.) Interpret this result. A. We are 95% confident that the means are in the confidence interval. O B. We are 95% confident that the mean difference is in the confidence interval. C. 95% percent of the time the mean difference is in the confidence interval. O D. 95% percent of the time the means are in the confidence interval. O o o o
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