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# Analysing Confidence Levels

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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, &#963;_1 = 0.06 mm, n_1 = 20

A second sample is taken with the following results:

x_m2 = 3.58 mm, &#963;_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.

https://brainmass.com/statistics/hypothesis-testing/analysing-confidence-levels-49996

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Hypotheses: H0: (m1 - m2) = 0 vs. Ha: (m1 - m2) ¹ 0
Test Statistic: where

Level of significance: , 1 - 0.95 = 0.05
Rejection region: t < -ta/2 or t > ta/2, and the distribution of t is based on (n1 + n2 - 2) degrees ...

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