Mathematics, 06.05.2020 03:59, naenae662
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 of the samples are presented next.
Process A: Sample Mean= 2.0, Standard Deviation= 1.0, Sample Size= 12
Process B: Sample Mean= 3.0, Standard Deviation= 0.5, Sample 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.
Answer the following:
A. Assume you are trying to conclude if the two processes yield different average errors. Determine if the appropriate hypothesis test should be an upper tail, lower tail, or 2-tail test.
B. Determine the value of the test statistic.
C. Determine the critical z or t value using a level of significance of 5%.
D. Determine the p-value.
E. State your conclusion: Reject H0 or Do not Reject H0? (Using a significance level of 5%).
F. What is the probability of making a Type I Error?
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