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Question
Allied Corporation is trying to determine whether to purchase Machine A or B. It has leased the two machines for a month. A random sample of 5 employees has been taken. These employees have gone through a training session on both machines. Below you are given information on their productivity rate on both machines. (Let d = Machine A - Machine B.)| Productivity Rate | ||
| Person | Machine A | Machine B |
| 1 | 47 | 52 |
| 2 | 53 | 58 |
| 3 | 50 | 47 |
| 4 | 55 | 60 |
| 5 | 45 | 53 |
a. State the null and alternative hypotheses for a two-tailed test.
b. Find the mean and standard deviation for the difference.
c. Compute the test statistic.
d. Test the null hypothesis stated in Part a at the 10% level.
Answer
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