Suppose that the output of each of two machines is normally distributed. If the new machine has a higher mean output than the old machine, you will purchase the new machine. Thus, you wish to test Ho'.^n < Mo against Hi'-hn > Mo- You are willing to assume that the variability of output is the same for both machines. You observe the following sample results:

Old machine: 27, 44, 35, 37, 56, 19, 32, 45 New machine: 50, 33, 43, 61, 25, 51, 38, 41, 35, 27.

What is the p-value? What other facts might .you want to know before you make the final decision concerning the purchase of the new machine?