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.)

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.)
  
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.)
  
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