Men Women H1 A study was done on body temperatures of men and women. The results are shown in the table. Assume that the two samples are 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. 11 97.56°F 0.86 F 59 97.35 F 0.69°F n 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 * H2 O B. Ho: H1 *H2 O C. Ho: H1 = H2 O D. Ho: H1 =H2 The test statistic, t, is O. (Round to two decimal places as needed.) The P-value is O. (Round to three decimal places as needed.) State the conclusion for the test. O A. Reject the null hypothesis. There is sufficient evidence to support the claim that men have a higher mean body temperature than women. B. Reject the null hypothesis. There is not sufficient evidence to support the claim that men have a higher mean body temperature than women. OC. 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. O D. Fail to reject the null hypothesis. There is sufficient evidence to support the claim that men have a higher mean body temperature than women. b. Construct a confidence interval suitable for testing the claim that men have a higher mean body temperature than women. (Round to three decimal places as needed.) Does the confidence interval support the conclusion found with the hypothesis test? because the confidence interval contains
Men Women H1 A study was done on body temperatures of men and women. The results are shown in the table. Assume that the two samples are 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. 11 97.56°F 0.86 F 59 97.35 F 0.69°F n 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 * H2 O B. Ho: H1 *H2 O C. Ho: H1 = H2 O D. Ho: H1 =H2 The test statistic, t, is O. (Round to two decimal places as needed.) The P-value is O. (Round to three decimal places as needed.) State the conclusion for the test. O A. Reject the null hypothesis. There is sufficient evidence to support the claim that men have a higher mean body temperature than women. B. Reject the null hypothesis. There is not sufficient evidence to support the claim that men have a higher mean body temperature than women. OC. 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. O D. Fail to reject the null hypothesis. There is sufficient evidence to support the claim that men have a higher mean body temperature than women. b. Construct a confidence interval suitable for testing the claim that men have a higher mean body temperature than women. (Round to three decimal places as needed.) Does the confidence interval support the conclusion found with the hypothesis test? because the confidence interval contains
Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter10: Statistics
Section10.4: Distributions Of Data
Problem 19PFA
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Transcribed Image Text:Men
Women
H1
A study was done on body temperatures of men and women. The results are shown in the table. Assume that the two samples
are 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.
11
97.56°F
0.86 F
59
97.35 F
0.69°F
n
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 * H2
O B. Ho: H1 *H2
O C. Ho: H1 = H2
O D. Ho: H1 =H2
The test statistic, t, is O. (Round to two decimal places as needed.)
The P-value is O. (Round to three decimal places as needed.)
State the conclusion for the test.
O A. Reject the null hypothesis. There is sufficient evidence to support the claim that men have a higher mean body temperature than women.
B. Reject the null hypothesis. There is not sufficient evidence to support the claim that men have a higher mean body temperature than women.
OC. 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.
O D. Fail to reject the null hypothesis. There is sufficient evidence to support the claim that men have a higher mean body temperature than women.
b. Construct a confidence interval suitable for testing the claim that men have a higher mean body temperature than women.
(Round to three decimal places as needed.)
Does the confidence interval support the conclusion found with the hypothesis test?
because the confidence interval contains
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