Suppose that a national health club chain investigated how many pounds heavier club members were than their perceived ideal weight. It investigated whether these perceptions differed among different regions of the country and gender of the respondents. The following data (pounds) reflect the survey results:

Region Gender West Midwest South Northeast Men 14 18 15 16 13 16 15 14 Women 16 20 17 17 13 18 17 13

a. Determine if there is interaction between region and gender. Use the p-value approach and a significance level of 0.05.

b. Given your findings in part

a, determine any significant differences among the discrepancies between the average existing and desired weights in the regions.

c. Repeat part b for the gender factor.