36. Allied Corporation is trying todetermine whether to purchase Machine A or B. It has leased the twomachines for a month. A random sample of 5 employees has beentaken. These employees have gone through a training session on bothmachines. Below you are given information on their productivityrate on both machines. (Let d = Machine A - MachineB.)Productivity Rate
Person | Machine A | Machine B |
1 | 47 | 52 |
2 | 53 | 58 |
3 | 50 | 47 |
4 | 55 | 60 |
5 | 45 | 53 |
please explain and show all work --- do NOT use excelcommands/excel to solve this problem
a.        State thenull and alternative hypotheses for a two-tailed test.
           b.  Find the mean and standard deviation for thedifference.
           c.  Compute the test statistic.
           d.  Test the null hypothesis stated in Part a at the 10%level.
