Male BMI Female BMI 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 H1 H2 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|n 47 47 level for both parts. X 27.5963 25.9829 S 8.324266 4.640447 What are the null and alternative hypotheses? OA. HO: H1 # H2 OB. HO: H1 2 H2 Hy: Hy

H2 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. Reject the null hypothesis. There is sufficient evidence to support the claim that men and women have different mean BMI. O B. Fail to reject the null hypothesis. There is sufficient evidence to support the claim that men and women have different mean BMI. O C. Reject the null hypothesis. There is not sufficient evidence to support the claim that men and women have different mean BMI. O D. Fail to reject the null hypothesis. There is not sufficient evidence to support the claim that men and women have different mean BMI. b. Construct a confidence interval suitable for testing the claim that males and females have the same mean BMI. 1