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Hypothesis Testing of Variance (F Test)

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A manufacturing process drills holes in sheet metal that are supposed to be .5000 cm in diameter. Before and after a new drill press is installed, the hole diameter is carefully measured (in cm) for 12 randomly chosen parts. At ? = .05, do these independent random samples prove that the new process has smaller variance? Show the hypotheses, decision rule, and test statistic.

New drill: 0.5005 0.5010 0.5024 0.4988 0.4997
0.4995 0.4976 0.5402 0.5104 0.4995
0.4898 0.4992

Old drill: 0.5052 0.5053 0.4947 0.4907 0.5031
0.4923 0.5400 0.5035 0.5601 0.4956
0.5035 0.4962.

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The solution provides step by step method for the calculation of testing of hypothesis. 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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