14 - A national manufacturer of ball bearings is experimenting with two differen

Question

14 - 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 here. Process A Process B Sample mean 2.0 3.0 Standard deviation 1.0 0.5 Sample size 12 14 The researcher is interested in determining whether there is evidence that process A yields a lower average errors. The population standard deviations are unknown but are assumed equal. What is the alternate hypothesis?

A) H0: µA = µB

B) H0: µA ? µB

C) H0: µA ? µB

D) H0: µA > µB

E) None of the above.

Explanation / Answer

Correct answer: Option (E) None of the above

Since

We require alternative hypothesis, i.e. H1: µA < µB.

Given hypothesis are null hypothesis so correct answer: option (E)

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