A national manufacturer of ball bearings is experimenting with two different pro

Question

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: Sample Mean-  2.0 Standar Deviation 1.0 Sample Size 3.0

Process B: Sample Mean- 3.0 Standard Deviation- 0.5 Dample Size- 14

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. What is the null hypothesis?

Explanation / Answer

The interest is to find if the two processes yield different average errors and this will be the alternate hypothesis. So we assume the the means are equal initially which is the null hypothesis.

Therefore the null hypothesis is, H0: A - B = 0

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