Data Set 26  “Cola Weights and Volumes” in Appendix B includes weights (lb) of the contents of cans of Diet Coke (n = 36, x̅ = 0.78479 lb, s = 0.00439 lb) and of the contents of cans of regular Coke (n = 36, x = 0.81682 lb, s = 0.00751 lb).

a. Use a 0.05 significance level to test the claim that the contents of cans of Diet Coke have weights with a mean that is less than the mean for regular Coke.

b. Construct the confidence interval appropriate for the hypothesis test in part (a).

c. Can you explain why cans of Diet Coke would weigh less than cans of regular Coke?

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PEPSI DIET WT PEPSI DIET VOL COKE REG WT 0.8192 0.8150 0.8163 0.8211 0.8181 COKE REG VOL 12.3 12.1 122 12.3 122 COKE DIET WT 0.7773 0.7758 0.7896 0.7868 0.7844 COKE DIET VOL 12.1 12.1 12.3 12.3 12.2 PEPSI REG WT 0.8258 0.8156 0.8211 0.8170 0.8216 PEPSI REG VOL 12.4 12.2 12.2 12.2 12.2 12.2 12.2 0.7868 0.7846 0.7938 0.7861 12.2