1. 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,theyounger 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

(sheets/week)

92

109

93

81

115

109

84

121

94

116

Age 25-28

(sheets/week)

104

116

96

104

108

108

116

112

120

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.