Given in the table are the BMI statistics for random samples of men and women. Assume that the two samples are independent simple random samples selected from normally distributed popula assume that the population standard deviations are equal. Complete parts (a) and (b) below. Use a 0.01 significance level for both parts. What are the null and alternative hypotheses? OA. Ho: H #H2 B. Ho: H1 =2 OC. Ho: H12H2 O D. Ho: H H2 H:H2 The test statistic, t, is 1.70. (Round to two decimal places as needed.) The P-value is 0.092. (Round to three decimal places as needed.) State the conclusion for the test. A. Fail to reject the null hypothesis. There is not sufficient evidence to warrant rejection of the claim that men and women have the same mean BMI. B. Fail to reject the null hypothesis. There is sufficient evidence to warrant rejection of the claim that men and women have the same mean BMI. C. Reject the null hypothesis. There is not sufficient evidence to warrant rejection of the claim that men and women have the same mean BMI. O D. Reject the null hypothesis. There is sufficient evidence to warrant rejection of the claim that men and women have the same mean BMI. b. Construct a confidence interval suitable for testing the claim that males and females have the same mean BMI. (Round to three decimal places as needed.) Does the confidence interval support the conclusion of the test?
Given in the table are the BMI statistics for random samples of men and women. Assume that the two samples are independent simple random samples selected from normally distributed popula assume that the population standard deviations are equal. Complete parts (a) and (b) below. Use a 0.01 significance level for both parts. What are the null and alternative hypotheses? OA. Ho: H #H2 B. Ho: H1 =2 OC. Ho: H12H2 O D. Ho: H H2 H:H2 The test statistic, t, is 1.70. (Round to two decimal places as needed.) The P-value is 0.092. (Round to three decimal places as needed.) State the conclusion for the test. A. Fail to reject the null hypothesis. There is not sufficient evidence to warrant rejection of the claim that men and women have the same mean BMI. B. Fail to reject the null hypothesis. There is sufficient evidence to warrant rejection of the claim that men and women have the same mean BMI. C. Reject the null hypothesis. There is not sufficient evidence to warrant rejection of the claim that men and women have the same mean BMI. O D. Reject the null hypothesis. There is sufficient evidence to warrant rejection of the claim that men and women have the same mean BMI. b. Construct a confidence interval suitable for testing the claim that males and females have the same mean BMI. (Round to three decimal places as needed.) Does the confidence interval support the conclusion of the test?
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:Given in the table are the BMI statistics for random samples of men and women. 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. Use a 0.01 significance level for both parts.
43
43
27.2383
24.6313
8.100415
5.930574
What are the null and alternative hypotheses?
OA. Ho: 1#H2
B. Ho: H1 2
H: H 2
C. Ho: H1 2H2
O D. Ho: H1 =H2
The test statistic, t, is 1.70. (Round to two decimal places as needed.)
The P-value is 0.092. (Round to three decimal places as needed.)
State the conclusion for the test.
A. Fail to reject the null hypothesis. There is not sufficient evidence to warrant rejection of the claim that men and women have the same mean BMI.
B. Fail to reject the null hypothesis. There is sufficient evidence to warrant rejection of the claim that men and women have the same mean BMI.
C. Reject the null hypothesis. There is not sufficient evidence to warrant rejection of the claim that men and women have the same mean BMI.
D. Reject the null hypothesis. There is sufficient evidence to warrant rejection of the claim that men and women have the same mean BMI.
b. Construct a confidence interval suitable for testing the claim that males and females have the same mean BMI.
(Round to three decimal places as needed.)
Does the confidence interval sunport the conclusion of the test?
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