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1. A teacher is interested in estimating the average time taken by a college student to solve a certain puzzle given by her. She takes

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1. A teacher is interested in estimating the average time taken by a college student to solve a certain puzzle given by her. She takes a random sample of 8 college students and records their solving times as 14, 7, 17, 20, 18, 15, 19, 28 minutes. Derive a 99% and 95% confidence interval of the average time taken by a college student to solve the puzzle

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