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.

Question

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.

Quizplus · Accepted Answer

The Answer of 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.

Allied Corporation Is Trying to Determine Whether to Purchase Machine