Question

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 samples were taken.

Ages 18-21 Ages 25-28
(sheets / wk) (sheets / wk)
88 104
104 116
96 96
88 104
112 108
108 108
84 116
120 112
92 120
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 α = 0.05, state your conclusion in the context of the problem.

Answer 1

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