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14 July, 20:05

sample of 150 Publix cashiers showed a mean hourly wage of $ 8.00, with a standard deviation of $ 1. Give an interval that is likely to contain about 95% of the sampled cashiers' hourly wages. A. (5, 10) B. (6, 10) C. (7, 9) D. (6, 9)

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  1. 14 July, 20:26
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    B. (6, 10)

    Step-by-step explanation:

    The Empirical Rule states that, for a normally distributed random variable:

    68% of the measures are within 1 standard deviation of the mean.

    95% of the measures are within 2 standard deviation of the mean.

    99.7% of the measures are within 3 standard deviations of the mean.

    In this problem, we have that:

    Mean = 8

    Standard deviation = 1

    Give an interval that is likely to contain about 95% of the sampled cashiers' hourly wages.

    By the Empirical Rule, 95% of the sampled cashiers' hourly wages will be within 2 standard deviations of the mean, so from 2 standard deviations below the mean to two standard deviations above the mean

    Two standard deviations below the mean:

    8 - 2*1 = 6

    Two standard deviations above the mean

    8 + 2*1 = 10

    So the correct answer is:

    B. (6, 10)
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