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 a Test the claim that males and females have the same mean body mass index BMI What are the null and alternative hypotheses OA Ho H H H 4 OC Ho 2 H H1 H 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 GEDEE b Construct a confidence interval suitable for testing the claim that males and fernales have the same mean BMI DH HL Round to three decimal places as needed Does the confidence interval support the conclusion of the test because the confidence interval contains OB Ho H H2 OD Ho H H H H H OA Reject the null hypothesis There is not sufficient evidence to warrant rejection of the claim that men and women have the same mean BMI OB Reject the null hypothesis There is sufficient evidence to warrant rejection of the claim that men and women have the same mean BMI OC 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 OD 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 Male BMI Female BMI P 44 H n X 27 8884 s 8 242445 1 44 26 1997 4 670266