Need Specific solving process please. Thanks a lot. 4. Three workers with differ

Question

Need Specific solving process please. Thanks a lot.

4. Three workers with different experience manufacture brake wheels for a magnet brake. Worker A has four experiences, worker B has seven years, and worker C has one year. The company is concerned about product quality, which is measured by the difference between the specified diameter and the actual diameter of the brake wheel. On a given day the supervisor selects at random nine brake wheels from the output of each worker. The following table lists the differences between specified and actual diameter Are there statistically significant differences in quality among the three different workers? Worker Precision 2.3 4.5 3.5 4.5 2.5 2.5 2.5 2.5 2.5 3.5

Explanation / Answer

Statistical significance between two or more distributions.

These are small sized (n) sample distributions.

meanA = 3.033, varA = 0.7475

meanB = 2.50, varB = 1.0625

meanC = 2.555, varC = 0.3403

=>

The random variable (RV) in question is a continuous and not discrete RV.

Use the Kolmogorov-Smirnov 2-sample test with null hypothesis being "two samples are from the same distribution" i.e. they are statistically similar.

Use p-value of the K-S 2-sample test to determine whether to reject the null hypothesis or not. If rejected, any two samples are siginificantly different.

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