Men Women A study was done on body temperatures of men and women. The results are shown in the table. Assume that the two samples are u ndependent simple random samples selected from normally distributed populations, and do not assume that the population tandard deviations are equal. Complete parts (a) and (b) below. H1 H2 59 97.35 F 0.71 F in 11 97.68°F 0.97 F ...... . Use a 0.01 significance level to test the claim that men have a higher mean body temperature than women. Vhat are the null and alternative hypotheses? DA. Ho: H1 2H2 O B. Ho: H1 H2 OC. Ho: H1 = H2 H1: H1 # H2 O D. Ho: H1 = 2 H1: 41 > H2 The test statistic, t, is (Round to two decimal places as needed.) The P-value is (Round to three decimal places as needed.) State the conclusion for the test. OA. Fail to reject the null hypothesis. There is not sufficient evidence to support the claim that men have a higher mean body temperature than women. OB. Fail to reject the null hypothesis. There is sufficient evidence to support the claim that men have a higher mean body temperature than women. OC. Reject the null hypothesis. There is not sufficient evidence to support the claim that men have a higher mean body temperature than women. O D. Reject the null hypothesis. There is sufficient evidence to support the claim that men have a higher mean body temperature than women.

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
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Chapter10: Statistics
Section10.4: Distributions Of Data
Problem 19PFA
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Men
Women
A study was done on body temperatures of men and women. The results are shown in the table. Assume that the two samples are u
independent simple random samples selected from normally distributed populations, and do not assume that the population
standard deviations are equal. Complete parts (a) and (b) below.
H2
11
59
97.68°F
0.97°F
97.35°F
0.71°F
S
.....
a. Use a 0.01 significance level to test the claim that men have a higher mean body temperature than women.
What are the null and alternative hypotheses?
O A. Ho: H1 Z H2
O B. Ho: H1 H2
H,: H1 <H2
H,: H1 <H2
Oc. Ho: H1 = H2
H1: H1 # H2
O D. Ho: H1 = H2
H1: H1 > H2
The test statistic, t, is . (Round to two decimal places as needed.)
The P-value is (Round to three decimal places as needed.)
State the conclusion for the test.
O A. Fail to reject the null hypothesis. There is not sufficient evidence to support the claim that men have a higher mean body temperature than women.
B. Fail to reject the null hypothesis. There is sufficient evidence to support the claim that men have a higher mean body temperature than women.
O c. Reject the null hypothesis. There is not sufficient evidence to support the claim that men have a higher mean body temperature than women.
D. Reject the null hypothesis. There is sufficient evidence to support the claim that men have a higher mean body temperature than women.
O O
Transcribed Image Text:Men Women A study was done on body temperatures of men and women. The results are shown in the table. Assume that the two samples are u independent simple random samples selected from normally distributed populations, and do not assume that the population standard deviations are equal. Complete parts (a) and (b) below. H2 11 59 97.68°F 0.97°F 97.35°F 0.71°F S ..... a. Use a 0.01 significance level to test the claim that men have a higher mean body temperature than women. What are the null and alternative hypotheses? O A. Ho: H1 Z H2 O B. Ho: H1 H2 H,: H1 <H2 H,: H1 <H2 Oc. Ho: H1 = H2 H1: H1 # H2 O D. Ho: H1 = H2 H1: H1 > H2 The test statistic, t, is . (Round to two decimal places as needed.) The P-value is (Round to three decimal places as needed.) State the conclusion for the test. O A. Fail to reject the null hypothesis. There is not sufficient evidence to support the claim that men have a higher mean body temperature than women. B. Fail to reject the null hypothesis. There is sufficient evidence to support the claim that men have a higher mean body temperature than women. O c. Reject the null hypothesis. There is not sufficient evidence to support the claim that men have a higher mean body temperature than women. D. Reject the null hypothesis. There is sufficient evidence to support the claim that men have a higher mean body temperature than women. O O
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