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 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 the two processes yield different average errors. The population standard deviations are unknown but are assumed equal. What are the degrees of freedom? Multiple Choice 10 13 26 24

Explanation / Answer

Given,

Sample size,

n1 = 12 and n2 = 14

For equal standard deviation,

Degrees of freedom df = n1 + n2 - 2

= 12 + 14 - 2

= 24

Degrees of freedom = 24

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