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.
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 (sheets/week) |
Age 25-28 (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 α = 0.05, state your conclusion in the context of the problem.
Trending now
This is a popular solution!
Step by step
Solved in 2 steps
