Suppose you buy a case of 36 cans of soda and carefully measure the volume of each. You average the results and determine that the sample mean is 12.1 oz. Let's assume that you know that the canning facility outputs cans whose volumes are distributed normally with a standard deviation of 0.24 oz. What is the 90% confidence interval for the mean volume of soda in the cans produced by this facility? Is it larger or smaller than the 95% confidence interval? Explain why the 95% should be larger.
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