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 populationstandard 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=HH₁: Hy > H₂ỌC. Ho: H=H2H₁: H₁ H₂The 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.-COB. Ho: ₁2/₂H₁ H₁ H₂OD. Ho. Hy#tH₁: H₁ H₂O 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. 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.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.

Given that: Male BMI Female BMI μ μ1 μ2 n 41 41 x¯ 27.8361 25.2703 s 8.615006 4.560128…

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. H₂: H₁ H₂ H₁ H₁ H₂ OC. H₂: H₁ H₂ H₁: ₁₂ 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. OB. Ho: ₁2₂ H₁: #₁ #₂ <1₁-₂< (Round to three decimal places as needed.) Does the confidence interval support the conclusion of the test? because the confidence interval contains OD. Ho: H₁ H₁: #₁ OA. 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. OB. 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. OC. Reject the null hypothesis. There is sufficient evidence to warrant rejection of the claim that men and women have the same mean BMI. OD. 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. H₂ #₂ H P₁ n 41 x 27.8361 s 8.615006 H₂ 41 25.2703 4.560128

18th Edition

ISBN:9780079039897

Author:Carter

Publisher:Carter

Chapter10: Statistics

Section10.4: Distributions Of Data

Problem 19PFA