14 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 n level for both parts x H H H OC Ho H H2 H H H The test statistic t is Round to two decimal places as needed Round to three decimal places as needed The P value is State the conclusion for the test GEITE H HH OD Ho H H H H H OA 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 OC Reject the null hypothesis There is not sufficient evidence to warrant rejection of the claim that men and women have the same mean BMI OD Reject the null hypothesis There is sufficient evidence to warrant rejection of the claim that men and women have the same mean BMI P 40 27 3626 7 087305 b Construct a confidence interval suitable for testing the claim that males and females have the same mean BMI 0 44 1 0 Round to three decimal places as needed Does the confidence interval support the conclusion of the test because the confidence interval contains H 4 24 6 5 02 Demaining 00 56 02