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    Probabilities regarding the sample mean

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    The mean amount purchased by a typical customer at Churchill's Grocery Store is $23.50 with a standard deviation of $5.00. Assume the distribution of amounts purchased follows the normal distribution. For a sample of 50 customers, answer the following questions.
    a. What is the likelihood the sample mean is at least $25.00?
    b. What is the likelihood the sample mean is greater than $22.50 but less than $25.00?
    c. Within what limits will 90 percent of the sample means occur?

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    Solution Summary

    In this solution we find probabilities regarding the sample mean when sampling from a normal probability distribution.

    $2.19

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