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.) 
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.
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