A quality control supervisor in a cannery knows that the exact amount each can contains will vary, since there are certain uncontrollable factors that affect the amount of fill. The mean fill per can is important, but equally important is the variation, σ2, of the amount of fill. If σ2 is large, some cans will contain too little and others too much. To estimate the variation of fill at the cannery, the supervisor randomly selects 10 cans and weighs the contents of each. The weights (in ounces) are 7.96, 7.90, 7.98, 8.01, 7.97, 7.96, 8.03, 8.02, 8.04, 8.02 . Construct a 90% confidence interval for the true variation in fill of cans at the cannery. Based on the CI, can you confirm that the fill has a standard deviation lower than 0.05 ounce

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