8.51 Are You Dieting? An experiment was con- ducted to compare two diets A and B designed for weight reduction. Two groups of 30 overweight dieters each were randomly selected. One group was placed on diet A and the other on diet B, and their weight losses were recorded over a 90-day period. The means and standard deviations of the weight-loss measure- ments 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. Interpret your confidence interval. Diet A Diet B XA = 21.3 XP = 13.4 SA = 2.6 SB = 1.9