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Bolt Variance
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Statistics
Parts
Part 1

A manufacturer produces nuts and bolts. A random sample of twelve bolts returned a sample variance of .0003, while a random sample of twelve bolts from a competitor returned a sample variance of .0001. We wish to test if there is sufficient data to indicate a smaller variation in bolt diameter from the competitor. What is the value of the relevant test statistic? Assume independence, variance homogeneity, and that diameter variance is approximately normally distributed.