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.

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

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

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

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

e. Construct an interaction plot for country and gender.

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Country United pa States France 62 65 Mexico Ja 3 Women 57 70 48 51 56 56 59 73 62 74 63 67 60 Men 76 69 67 57 72 58 59 65 59 67 76 71 69 75 57