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 the difference 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 statistics.
d. Test the null hypothesis stated in Part a at 10% level (using the critical value
approach).