A construction company that installs drywall wanted to investigate how a person's age affects how much dry wall they can install in a week. On one hand, it would seem that the younger workers would be able to install more, but it seems that experience would also play a role. Two random samples were taken. Assume the distributions are normal.

Dry Wall Results by Age

Age 18-21 Age 25-28

(sheets/week) (sheets/week)

92 104

109 116

93 96

81 104

115 108

109 108

84 116

121 112

94 120

116 108

a) Set up the null and alternative hypotheses to see if there is a difference in the average number of sheets of dry wall that a person can install per week based on age.

b) Check the conditions.

c) Calculate the test statistic.

d) Find the p-value.

e) Using = 0.05, state your conclusion in the context of the problem.