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# Hypothesis Testing for concentricity of engine oil seal groove

See the attached problem.

4.10. Kane (1986) discusses the concentricity of an engine oil seal groove. Historically, the standard deviation for the concentricity is 0.7. The target average concentricity is 5.6. To monitor this process, he periodically takes a random sample of three measurements.

a. A recent sample yielded a sample mean of 5.8. Conduct a hypothesis test to determine whether the true mean concentricity has changed. Use a 0.05 significance level.

b. Find the p-value associated with the test in part a.

C. Construct a 95% confidence interval for this situation. Use this interval to determine whether the true mean concentricity has changed.

#### Solution Summary

The solution provides step by step method for the calculation of testing of hypothesis and confidence interval for population mean. Formula for the calculation and Interpretations of the results are also included. Interactive excel sheet is included. The user can edit the inputs and obtain the complete results for a new set of data.

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