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Analysing Confidence Levels

As part of the quality control process, samples of parts are periodically taken for measurement to see if they conform to specifications. In one sample the diameter of a part is measured with the following results:

x_m1 = 3.56 mm, σ_1 = 0.06 mm, n_1 = 20

A second sample is taken with the following results:

x_m2 = 3.58 mm, σ_2 = 0.03 mm, n_2 = 23

Examine these data to determine if they yield the same results with a confidence level of 90 percent. Repeat for a confidence level of 95 percent.

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