In order to study the amounts owed to a particular city, a city clerk takes a random sample of 16 files from a cabinet containing a large number of delinquent accounts and finds the average amount owed to the city to be $230 with a sample standard deviation of $36. It has been claimed that the true mean amount owed on accounts of this type is less than $250. If it is appropriate to assume that the amount owed is a normally distributed random variable, the p-value appropriate for testing the claim is (D) More information is needed (A) 0.042 (B) 0.979 (C) 0.021

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A: see below the answer and explanation

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A: Let's solve.