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A random sample of 10 Tootsie Rolls was taken from a bag. Each piece was weighed with the result being 3.087, 3.131, 3.241, 3.270, 3.353, 3.400, 3.411, 3.437, 3.477. Construct a 90% confidence interval for the true mean weight. What sample size would be necessary to estimate the true weight with an error of plus or minus .03 grams with a 90% confidence?

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