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...

1. 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 B - Machine A.)

Productivity Rate

                  Person           Machine A                Machine B

                      1                      42                              48

                      2                      53                              58

                      3                      51                              47

                      4                      53                              55

                      5                      47                              53

A. State the null and alternative hypotheses to determine whether Amchine B has a higher production rate than Machine A.

b. Find the mean and standard deviation for the difference.

c. Compute the test statistic.