Question

V2 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 0.05 significance level for both parts. P1 40 28.4029 7.020534 X 40 24.8792 4.562776 5 OC. Hoy H2 HH1 H2 D. Ho: 11 12 на: 4 #2 The test statistic, t, is 2.73. (Round to two decimal places as needed.) The P-value is 0.009. (Round to three decimal places as needed.) State the conclusion for the test. A. Reject the null hypothesis. There is sufficient evidence to warrant rejection of the claim that men and women have the same mean BMI OB. 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. 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 OD. 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. b. Construct a confidence interval suitable for testing the claim that males and females have the same mean BMI. <H1-H2U (Round to three decimal places as needed.) as needed.) Enter your answer in the edit fields and then click Check Answer. Clear All Check Answer 1 part remaining

Answer 1

The statistic software output for this problem is:

Two sample T summary confidence interval: Hu: Mean of Population 1 2 : Mean of Population 2 1 - H2 : Difference between two means (with pooled variances) 95% confidence interval results: Difference Sample Diff. Std. Err. DF L. Limit U. Limit Hi - U2 3.6137 1.3238846 78 0.97804813 6.2493519

The 95% confidence interval is :

0.978 6.249

<μι – μ2 <