49. Allied Corporation is trying to determine whether to purchase Machine A or B. It has leased the tv 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 Person Machine A Machine B 1 47 52 2 53 58 3 50 47 4 55 60 5 45 53 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.

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49. 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
Person Machine A Machine B
1 47 52
2 53 58
3 50 47
4 55 60
5 45 53
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.
Transcribed Image Text:49. 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 Person Machine A Machine B 1 47 52 2 53 58 3 50 47 4 55 60 5 45 53 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.
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