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The College Board American College Testing Program reported a population mean SAT score of µ 1020 (The World Almanac 2003). Assume that the population standard deviation is 100.

a. What is the probability that a random sample of 75 students will provide a sample mean SAT score within 10 of the population mean?

b. What is the probability a random sample of 75 students will provide a sample mean SAT score within 20 of the population mean?

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