Conduct a two-tailed hypothesis test given the information below.

A national manufacturer of ball bearings is experimenting with two different processes for 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 2.0 3.0

Standard Deviation 1.0 0.5

Sample Size 12 14

A. 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 1% level of significance? Note: The table in the exam is for one tail testsbe sure to double the percentage for a two tail 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 are assumed equal. If we test the null hypothesis at the 1% level of significance, what is the decision?