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March 25, 2017

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Assume that a population is normally distributed with a mean of 100 and a standard deviation of 15. Would it be unusual for the mean of a sample of 3 to be 115 or more? Why or why not?

  • statistics - ,

    Use z-scores:

    z = (x - mean)/(sd/√n)
    x = 115
    mean = 100
    sd = 15
    n = 3

    Once you have z, use a z-table to determine probability. If the probability is low, then it would be unusual for the mean of a sample of 3 to be 115 or more.

    I hope this will help.

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