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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 55 men and 73 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 55 112.3 11.4 1.5 73 118.6 14.3 1.7 90% Cl for mu Men - mu Women (- 10.09, - 2.51) T-Test mu Men = mu Women (vs <) T= - 2.77 P = 0.0032 DF = 125 (a) State the null and alternative hypotheses. Which of the following is correct? O A. Ho: H1 = H2; Hại H1 # H2 B. Ho: H1 = H2; Hạ: H1> H2 O C. Ho: H1 = H2; Hại H1

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 55 men and 73 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 55 112.3 11.4 1.5 73 118.6 14.3 1.7 90% Cl for mu Men - mu Women (- 10.09, - 2.51) T-Test mu Men = mu Women (vs <) T= - 2.77 P = 0.0032 DF = 125 (a) State the null and alternative hypotheses. Which of the following is correct? O A. Ho: H1 = H2; Hại H1 # H2 B. Ho: H1 = H2; Hạ: H1> H2 O C. Ho: H1 = H2; Hại H1

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
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 55 men and 73 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 55 112.3 11.4 1.5 73 118.6 14.3 1.7 90% Cl for mu Men - mu Women (- 10.09, - 2.51) T-Test mu Men = mu Women (vs <) T= - 2.77 P = 0.0032 DF = 125 (a) State the null and alternative hypotheses. Which of the following is correct? O A. Ho: H1 = H2; Hại H1 # H2 B. Ho: H1 = H2; Hạ: H1> H2 O C. Ho: H1 = H2; Hại H1 <H2 (b) Identify the P-value and state the researcher's conclusion if the level of significance was a = 0.01. 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 B. 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 O C. 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 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 mean difference is in the confidence interval. O C. 90% percent of the time the means are in the confidence interval. O D. We are 90% confident that the mean difference is in the confidence interval.
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 55 men and 73 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 55 112.3 11.4 1.5 73 118.6 14.3 1.7 90% Cl for mu Men - mu Women (- 10.09, - 2.51) T-Test mu Men = mu Women (vs <) T= - 2.77 P = 0.0032 DF = 125 (a) State the null and alternative hypotheses. Which of the following is correct? O A. Ho: H1 = H2; Hại H1 # H2 B. Ho: H1 = H2; Hạ: H1> H2 O C. Ho: H1 = H2; Hại H1 <H2 (b) Identify the P-value and state the researcher's conclusion if the level of significance was a = 0.01. 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 B. 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 O C. 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 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 mean difference is in the confidence interval. O C. 90% percent of the time the means are in the confidence interval. O D. We are 90% confident that the mean difference is in the confidence interval.
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