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" be d = A - B.).
Person       MACHINE A PRODUCTIVITY         MACHINE B PRODUCTIVITY
1                                       47                                                         52
2                                       53                                                         58
3                                       50                                                         47
4                                       52                                                         57
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 8% level.