Male BMI Female BMI H2 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. 48 48 28.4869 S 7.291016 26.3823 5.472031 a. Test the claim that males and females have the same mean body mass index (BMI). What are the null and alternative hypotheses? O A. Hg: H1 H2 H: H P2 The test statistic, t, is (Round to two decimal places as needed.) The P-value is (Round to three decimal places as needed.)

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Male BMI Female BMI
H2
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.
48
28.4869
s 7.291016
48
26.3823
n
5.472031
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 sufficient evidence to warrant rejection of the claim that men and women have the same mean BMI.
O B. 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 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. 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. Construct a confidence interval suitable for testing the claim that males and females have the same mean BMI.
O> Z1 - 1 >O
(Round to three decimal places as needed.)
Does the confidence interval support the conclusion of the test?
because the confidence interval contains
Transcribed Image Text:Male BMI Female BMI H2 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. 48 28.4869 s 7.291016 48 26.3823 n 5.472031 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 sufficient evidence to warrant rejection of the claim that men and women have the same mean BMI. O B. 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 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. 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. Construct a confidence interval suitable for testing the claim that males and females have the same mean BMI. O> Z1 - 1 >O (Round to three decimal places as needed.) Does the confidence interval support the conclusion of the test? because the confidence interval contains
Male BMI Female BMI
H2
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
48
28.4869
S 7.291016
48
26.3823
5.472031
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.
n
a. Test the claim that males and females have the same mean body mass index (BMI).
What are the null and alternative hypotheses?
O B. Ho: H1 = H2
O A. Ho: H1 H2
H1: H1 < H2
OC. Ho: H1 2 H2
O D. Ho: H1 = H2
H1: 41 > H2
H: 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.)
Transcribed Image Text:Male BMI Female BMI H2 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 48 28.4869 S 7.291016 48 26.3823 5.472031 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. n a. Test the claim that males and females have the same mean body mass index (BMI). What are the null and alternative hypotheses? O B. Ho: H1 = H2 O A. Ho: H1 H2 H1: H1 < H2 OC. Ho: H1 2 H2 O D. Ho: H1 = H2 H1: 41 > H2 H: 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.)
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