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 calculated. The results are presented below. Process A Process B Mean 0.002mm 0.0026mm Standard Deviation 0.0001mm 0.00012mm Sample Size 12 14 The researcher is interested in determining whether there is evidence that the two processes yields different average errors from the industry standard.
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 calculated. The results are presented below.
Process A Process B
Standard Deviation 0.0001mm 0.00012mm
The researcher is interested in determining whether there is evidence that the two processes yields different average errors from the industry standard.
- Assume calculated t to be +2.70, at the 0.01 level of significance what would be the decision?
- Reject the null hypothesis and conclude the means are different
- Reject the null hypothesis and conclude the means are the same
- Fail to reject the null hypothesis and conclude the means are the same
- Fail to reject the null hypothesis and conclude the means are different
- None of the above
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