The following table shows the retirement ages for a random sample of retirees from four different countries according to their genders. These data can also be found in the file retirement.xlsx.

Country Mexico Japan United States France Women 66 62 60 57 73 65 62 70 77 66 56 48 74 65 67 51 63 64 60 56 78 60 66 56 Men 76 69 64 59 67 64 68 63 79 66 57 58 76 67 72 59 71 68 68 65 69 75 57 59

a. Using a = 0.05, is there significant interaction between the country and the gender?

b. Using a two-way ANOVA and a = 0.05, does the country have an effect on the retirement age?

c. Using a two-way ANOVA and a = 0.05, does the gender of the retiree have an effect on the retirement age?

d. Using a = 0.05, if warranted, determine which means are significantly different.

e. Construct an interaction plot for country and gender.

AppendixLO1