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...

Allied Corporation is trying to determine whether to purchase Machine A or B. It hasleased 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 aregiven information on their productivity rate on both machines. (Let the difference d =Machine A – Machine B.)Productivity RatePersonMachine AMachine B1475225358350474556054553a. 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 valueapproach).