Question

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. Use a 0.01 significance level. n Male BMI 1 43 27.7446 7.796304 Female BMI H2 43 25.6933 4.135821 х S Construct a confidence interval suitable for testing the claim that males and females have the same mean BMI. (<47-H (Round to three decimal places as needed.) 1-H2 <a

Answer 1

Confidence interval :-
$\( \bar{X}_{1} - \bar{X}_{2}) \pm t_{\alpha /2 , DF}\sqrt{ (S_{1}^{2}/n1) + (S_{2}^{2}/n2)}$
t(α/2, DF) = t(0.01 /2, 63 ) = 2.656

DF = 63

99% confidence interval is ( -1.523 , 5.626 )