Women Men 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. H1 H2 11 59 97.53°F 0.77°F 97.36°F 0.72°F a. Use a 0.05 significance level, and test the claim that men have a higher mean body temperature than women. |. (Round to two decimal places as needed.) The test statistic, t, is |. (Round to three decimal places as needed.) The P-value is State the conclusion for the test. O A. 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 B. 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. OC. Reject the null hypothesis. There is sufficient evidence to support the claim that men have a higher mean body temperature than women. O D. Reject the null hypothesis. There is not 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. O
Women Men 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. H1 H2 11 59 97.53°F 0.77°F 97.36°F 0.72°F a. Use a 0.05 significance level, and test the claim that men have a higher mean body temperature than women. |. (Round to two decimal places as needed.) The test statistic, t, is |. (Round to three decimal places as needed.) The P-value is State the conclusion for the test. O A. 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 B. 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. OC. Reject the null hypothesis. There is sufficient evidence to support the claim that men have a higher mean body temperature than women. O D. Reject the null hypothesis. There is not 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. O
Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
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Chapter3: Functions And Graphs
Section3.3: Lines
Problem 76E
Related questions
Question
![Women
Men
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.
H1
H2
11
59
97.53°F
0.77°F
97.36°F
0.72°F
a. Use a 0.05 significance level, and test the claim that men have a higher mean body temperature than women.
|. (Round to two decimal places as needed.)
The test statistic, t, is
|. (Round to three decimal places as needed.)
The P-value is
State the conclusion for the test.
O A. 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 B. 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.
OC. Reject the null hypothesis. There is sufficient evidence to support the claim that men have a higher mean body
temperature than women.
O D. Reject the null hypothesis. There is not 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.
O<H1 - 42 <O
(Round to three decimal places as needed.)
Does the confidence interval support the conclusion of the test?
V because the confidence interval contains](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F8eeb7b97-b429-47a8-9382-494ad20819d1%2F317d383f-9219-4f10-94e2-5f3eff9df16a%2Fdo9ywo.png&w=3840&q=75)
Transcribed Image Text:Women
Men
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.
H1
H2
11
59
97.53°F
0.77°F
97.36°F
0.72°F
a. Use a 0.05 significance level, and test the claim that men have a higher mean body temperature than women.
|. (Round to two decimal places as needed.)
The test statistic, t, is
|. (Round to three decimal places as needed.)
The P-value is
State the conclusion for the test.
O A. 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 B. 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.
OC. Reject the null hypothesis. There is sufficient evidence to support the claim that men have a higher mean body
temperature than women.
O D. Reject the null hypothesis. There is not 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.
O<H1 - 42 <O
(Round to three decimal places as needed.)
Does the confidence interval support the conclusion of the test?
V because the confidence interval contains
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