The Department of Labor (DoL) would like to investigate if there is a difference in the average number of hours worked per week by employees in the United States, China, and Sweden. DoL would also like to test if the age of the employee impacts the average number of hours worked per week. The following data show the number of hours that a random sample of employees worked last week in each country along with their age group. These data can also be found in the Excel file DOL. xlsx.

a. Using α = 0.05, is there a significant interaction ­between the age group and the country of the individual?
b. Using a two way ANOVA and α = 0.05, does the age group have an effect on the average number of weeks worked by the individual?
c. Using a two way ANOVA and α = 0.05, does the country have an effect on the average number of weeks worked by the individual?
d. If warranted, determine which means are significantly different using α = 0.05.
e. Construct an interaction plot for the age group and the country

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Age Group 30 to under 40 United States Sweden China 38 35 43 37 36 27 37 27 31 34 46 Age Group 40 to under 50 United States Sweden China 26 34 31 35 34 39 39 28 30 53 49 34 23 51 38 39 30 30 43 38 39 36 49 50 to under 60 38 34 37