K 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. a. Use a 0.05 significance level to test the claim that men have a higher mean body temperature than women. What are the null and alternative hypotheses? OA. Ho: H₁ H₂ H₂: Hy #₂ The test statistic, t, is 0.77 (Round to two decimal places as needed.) The P-value is 0.228. (Round to three decimal places as needed.) State the conclusion for the test. OB. Ho: 2₂ H₁ H₂

College Algebra (MindTap Course List)
12th Edition
ISBN:9781305652231
Author:R. David Gustafson, Jeff Hughes
Publisher:R. David Gustafson, Jeff Hughes
Chapter8: Sequences, Series, And Probability
Section8.7: Probability
Problem 58E: What is meant by the sample space of an experiment?
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K
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.
a. Use a 0.05 significance level to test the claim that men have a higher mean body temperature than women.
What are the null and alternative hypotheses?
OA H₂: Hy #H₂
H₁: Hy <H₂
C. Ho: H₁ H₂
H₂: Hy > H₂
The test statistic, t, is 0.77 (Round to two decimal places as needed.)
The P-value is 0.228 (Round to three decimal places as needed.)
State the conclusion for the test.
an example Get more help.
BO
D
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.
OB. Reject the null hypothesis. There is sufficient evidence to support the claim that men have a higher mean body temperature than women.
*C. Fail to reject the null hypothesis. There is sufficient evidence to support the claim that men have a higher mean body temperature than women.
OD. 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.
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Transcribed Image Text:K 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. a. Use a 0.05 significance level to test the claim that men have a higher mean body temperature than women. What are the null and alternative hypotheses? OA H₂: Hy #H₂ H₁: Hy <H₂ C. Ho: H₁ H₂ H₂: Hy > H₂ The test statistic, t, is 0.77 (Round to two decimal places as needed.) The P-value is 0.228 (Round to three decimal places as needed.) State the conclusion for the test. an example Get more help. BO D 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. OB. Reject the null hypothesis. There is sufficient evidence to support the claim that men have a higher mean body temperature than women. *C. Fail to reject the null hypothesis. There is sufficient evidence to support the claim that men have a higher mean body temperature than women. OD. 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. 1 E 1. 101FL C $ 4 2 R V %6 5 1 T G B 6 MacBook Air L Y H & A N U J OB. Ho: ₁22 H₁: Hy <H₂ o 8 OD. Ho: #₁ = ₂ H₁ H₂ #4₂ M D-HI I K ( 9 H De O " 2 O L command H n X S T H P > : x Men P₁ 11 97.64 F 0.77°F Clear all option { [ ? I F Women H₂ 59 97.45°F 0.63°F Question Viewer Check answer 1 delete
K
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.
H
1
OA. Ho: #₁ #₂
H₁: Hy <H₂
C. Ho: H₁ H₂
H₂: Hy > H₂
The test statistic, t, is 0.77 (Round to two decimal places as needed.)
The P-value is 0.228. (Round to three decimal places as needed.)
State the conclusion for the test.
b. Construct a confidence interval suitable for testing the claim that men have a higher mean body temperature than women.
<44-20
(Round to three decimal places as needed.)
w an example Get more help.
3
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.
OB. Reject the null hypothesis. There is sufficient evidence to support the claim that men have a higher mean body temperature than women.
Xc. Fail to reject the null hypothesis. There is sufficient evidence to support the claim that men have a higher mean body temperature than women.
OD. Reject the null hypothesis. There is not sufficient evidence to support the claim that men have a higher mean body temperature than women.
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Transcribed Image Text:K 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. H 1 OA. Ho: #₁ #₂ H₁: Hy <H₂ C. Ho: H₁ H₂ H₂: Hy > H₂ The test statistic, t, is 0.77 (Round to two decimal places as needed.) The P-value is 0.228. (Round to three decimal places as needed.) State the conclusion for the test. b. Construct a confidence interval suitable for testing the claim that men have a higher mean body temperature than women. <44-20 (Round to three decimal places as needed.) w an example Get more help. 3 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. OB. Reject the null hypothesis. There is sufficient evidence to support the claim that men have a higher mean body temperature than women. Xc. Fail to reject the null hypothesis. There is sufficient evidence to support the claim that men have a higher mean body temperature than women. OD. Reject the null hypothesis. There is not sufficient evidence to support the claim that men have a higher mean body temperature than women. 20 T TER D с 4 F V 96 5 T 1 G B 6 MacBook Air H N U OB. Ho: ₁2₂ H₁: Hy <H₂ J OD. Ho: H₁ H₂ H₁: Hy #4₂ 8 M D-II I K ( 9 P H O F > O L H n command x S 19 P > : Men H₁ 11 Clear all ; 97.64 F 0.77°F option { [ + = ? 1 Women ۳۶ 59 97.45 F 0.63 F Check answer 12 3 del
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