Conduct a two-tailed hypothesis test given the information
below

ABC producing precision ball bearings. It is important that
the diameters be as close as possible to an industry standard. The output from
each process is sampled and the average error from the industry standard is
measured in millimeters. The results are presented next.

Process A Process
B

Sample Mean 2 3

Standard Deviation 1 0.5

Sample Size 12 14

A. What are the assumptions used for this test?

B. The
researcher is interested in determining whether there is evidence that the two
processes yield different average errors. The population standard deviations
are unknown but assumed equal. What is the critical t value at the 10% level of
significance?

C. The
researcher is interested in determining whether there is evidence that the two
processes yield different average errors. The population standard deviations
are unknown but are assumed equal. If we test the null hypothesis at the 5% level of significance, what is the decision?

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