Inferences from Samples of Regular Coke and Diet Coke Using Data Set 17 in Appendix B, we find the sample statistics for the weights (in pounds) of regular Coke and diet Coke as listed in the margin.

a. Use a 0.01 significance level to test the claim that cans of regular Coke and diet Coke have the same mean weight. If there appears to be a difference, try to provide an explanation.

b. Construct a 99% confidence interval estimate of m1 2 m2, the difference between the mean weight of regular Coke and the mean weight of diet Coke.