Allied Corporation Is Trying to Determine Whether to Purchase Machine

Short Answer

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 A - Machine B.)
Productivity Rate
$$\begin{array} { c c c } \text { Parson } & \text { Machine A } & \text { Machin }B \\1 & 47 & 52 \\2 & 53 & 58 \\3 & 50 & 47 \\4 & 55 & 60 \\5 & 45 & 53\end{array}$$
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.