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    Central limit theorem

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    A population is normally distributed, with a mean of 23.45 and a standard deviation of 3.8. What is the probability of each of the following?

    a) Taking a sample of size 10 and obtaining a sample mean of 22 or more
    b) Taking a sample of size 4 and getting a sample mean of more than 26.

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    Solution Summary

    This solution uses the central limit theorem to state the distribution of a sample mean and then calculates the probability that a randomly selected sample mean falls within a specified range.