Sampling distribution of S^2

Posted on 2014-04-04 08:07:00 in Engineering by ERMAN

Consider a cannery that produces 8-ounce cans of processed corn. Quality control engineers have determined that the process is operating properly when the true variation ?^2 of the fill amount per can is less than 0.0025. A random sample of n = 10 cans is selected from a day’s production, and the fill amount (in ounces) recorded for each. Of interest is the sample variance S^2. If, in fact, ?^2 = 0.001, find the probability that S^2 exceeds 0.0025. Assume that the fill amounts are normally distributed.

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