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A new molding process is designed to reduce the variability of casting diameters. To test the new process, we conservatively formulate the alternative hypothesis that

A new molding process is designed to reduce the variability of casting diameters. To test the new process, we conservatively formulate the alternative hypothesis that the variance of casting diameters under the new process is less than the variance for the old process. Rejection of the null hypothesis would then permit us to accept the alternative hypothesis that the variance associated with the new process is smaller than that associated with the old process. For a sample of = 8 castings produced by the new process = 4.2mm. For a sample of 10 castings produced by the old process =5.8 mm. Can the null hypothesis be rejected at the 5 percent level of significance?

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