The variance in the diameter of a bolt should not exceed 0.500 mm.A random sample of n = 12 bolts showed a sample variance of 0.505 mm.The test statistic is χ² = 11.11.

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The test statistic is χ² = 11.11, which is greater than the critical value of χ² = 9.488 for α = 0.05 and df = 11. Therefore, we reject the null hypothesis and conclude that the variance in the diameter of the bolts exceeds 0.500 mm.

The Variance in the Diameter of a Bolt Should Not