3.11 Weight Loss (Example 3) The table shows Minitab descriptive statistics for the weight of some women (weight_f)

and men (weight_m), and the self-reported ideal weights for both.

a. Subtract the women’s mean weight from their mean ideal weight to find the mean desired weight change. Did the women (as a group)

tend to want to lose or to gain weight? How do you know?

b. Subtract the men’s mean weight from their mean ideal weight to find the mean desired weight change. Did the men (as a group) tend to want to lose or to gain weight? How do you know?

c. On average, which group wanted the greatest weight change? Compare the mean desired weight loss for women and men.

d. Which group’s real weights had more variation as shown by the standard deviations (in the column headed StDev)?

Minitab Statistics: weight_f, weight_m, ideal wt_f, ideal wt_m Variable N Mean StDev Minimum Q1 Median Q3 Max weight_f 26 140.88 22.29 99.0 129.25 133.0 153.75 185 weight_m 13. 187.6 38.9 120.0 152.5 200.0 210.0 259 ideal wt_f 26 120.04 11.77 90.0 110.00 ideal wt_m 13 169.62 23.85 130.0 120.0 157.50 170.0 187.50 220 130.00 150