I statistics for random samples of men and women. A cted from normally distributed populations, and do nc and (b) below. Use a 0.01 significance level for both ound to two decimal places as needed ) o three decimal places as needed.) cest. hypothesis. There is not sufficient evidence to warra hypothesis. There is sufficient evidence to warrant re hesis. There is sufficient evidence to warrant rejection chesis. There is not sufficient evidence to warrant reje aterval suitable for testing the claim that males and fe

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Male BMI
Female BMI
var2
Given in the table are the BMI statistics for random samples of men and women. Assume that the two samples are independent
14
var15
P2
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.
48
48
27.9801
8.634509
24.8842
S
5.444944
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.
O 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.
O C. Reject the null hypothesis. There is 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 not 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?
Yes, because the confidence interval contains
Click to select your answer(S).
Next
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Transcribed Image Text:Male BMI Female BMI var2 Given in the table are the BMI statistics for random samples of men and women. Assume that the two samples are independent 14 var15 P2 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. 48 48 27.9801 8.634509 24.8842 S 5.444944 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. O 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. O C. Reject the null hypothesis. There is 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 not 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? Yes, because the confidence interval contains Click to select your answer(S). Next Show all
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