16. 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 0.8 0.5 Sample size 12 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. If we test the null hypothesis at the 1% level of significance, what is the decision?

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16. 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
0.8
0.5
Sample size
12
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.
If we test the null hypothesis at the 1% level of significance, what is the decision?
Transcribed Image Text:16. 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 0.8 0.5 Sample size 12 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. If we test the null hypothesis at the 1% level of significance, what is the decision?
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