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probability of normal distribution

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The mean television viewing time for Americans is 15 hours per week (Money, November 2003). Suppose a sample of 60 Americans is taken to further investigate viewing habits. Assume the population standard deviation for weekly viewing time is 4 hours.

a. Determine the probability the sample mean will be within 1 hour of the population mean.

b. Determine the probability the sample mean will be within 45 minutes of the population mean.

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