Question 1:

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 H2 from normally distributed populations, and do not assume that the population standard deviations are equal. Complete parts (a) and (b) below. Use a 0.05 significance n 43 13 level for both parts. X 28.3424 24.8806 S 7.055781 4.258425 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. Ho: H1 = H2 OB. Ho: H1 # H2 H1: H1 > H2 H1: H1 = H2 O C. Ho: H1 2 H2 O D. Ho: H1 = H2 H1: H1 =H2 Hy: 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.) 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. 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. 1 H2 O C. Ho: H1 H2 OD. Hi Hy # H2 Hy: H1 = H2 Hy: Hy = H2 Calculate the test statistic. t= (Round to two decimal places as needed.) Find the P-value. P-value = (Round to three decimal places as needed.) Make a conclusion about the null hypothesis and a final conclusion that addresses the original claim. Ho. There sufficient evidence to warrant rejection of the claim that women and men have the same mean diastolic blood pressure.