14. Are You Dieting? To compare two weight reduction diets A and B, 60 dieters were randomly selected. One group of 30 dieters was placed on diet A and the other 30 on diet B, and their weight losses were recorded over a 30-day period. The means and standard deviations of the weight-loss measurements for the two groups are shown in the table. Find a 95% confidence interval for the difference in mean weight loss for the two diets.

Can you conclude that there is a difference in the average weight loss for the two diets? Why or why not?

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Diet A X=21.3 Diet B x=13.4 SA=2.6 Sg=1.9