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12 January, 09:31

The incomes in a certain large population of college teachers have a normal distribution with mean $75,000 and standard deviation $10,000. sixteen (16) teachers are selected at random from this population to serve on a committee. what is the probability that their average salary is more than $77,500?

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  1. 12 January, 09:39
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    The probability that their average salary;

    standard error

    = 10,000/sqrt (16)

    =10,000/4

    = 2500

    (77,500 - 75000) / 2500

    2,500/2500

    = 1

    p (z > 1) =.1587

    So, the probability that their average salary is more than $77,500 is 0.1587
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