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    Population Mean

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    Q5: A group of poker players are profile in this month's magazine. The table below lists their name and average winnings per tournament. Consider this to be a population.

    Player Average Winnings
    Seattle Slim $27000
    KC Kate $33000
    Minnesota Mel $45000
    Gotham City Graced $35000
    The Player $60000

    a) find the mean and standard deviation of this population.
    b) List all possible samples of size 2.
    c) Find the sample average for each sample.
    d) Find x-bar
    e) What is the arithmetic difference between µ and µ-x-bar?
    f) Will this always be true?
    g) Should the small population/large sample adjustment factor be used in this case? Show why or why not.
    h) Find ơ x-bar.

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    Solution Summary

    To show that population mean is equal to mean of sample mean.