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. What are the null and alternative hypotheses? OA. Ho: H₁ H₂ H₁: H1 H₂ μ 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. n X S Men P₁ 11 97.67°F 0.94°F Women H₂ 59 97.27°F 0.62°F O A. Reject the null hypothesis. There is not sufficient evidence to support the claim that men have a higher mean body temperature than women. O 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. 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. 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
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. What are the null and alternative hypotheses? OA. Ho: H₁ H₂ H₁: H1 H₂ μ 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. n X S Men P₁ 11 97.67°F 0.94°F Women H₂ 59 97.27°F 0.62°F O A. Reject the null hypothesis. There is not sufficient evidence to support the claim that men have a higher mean body temperature than women. O 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. 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. 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
MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
Section: Chapter Questions
Problem 1P
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Transcribed Image Text: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.
What are the null and alternative hypotheses?
OA. Ho: H₁ H₂
H₁: H1 <H₂
OC. Ho: H₁ H₂
H₁: H₁ <H₂
a. Use a 0.05 significance level to test the claim that men have a higher mean body temperature than
women.
OB. Ho: H₁ H₂
H₁: H₁ H₂
OD. 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.
μ
n
X
S
Men
P₁
11
97.67°F
0.94°F
<H₁-H₂ <
(Round to three decimal places as needed.)
Women
H₂
59
97.27°F
0.62°F
O A. Reject the null hypothesis. There is not sufficient evidence to support the claim that men have a
higher mean body temperature than women.
O 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.
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.
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.
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