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Math Help - Expected value of Sampling Distribution

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    Len
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    Expected value of Sampling Distribution

    Consider the following population of ten scores: 4,4,4,5,5,6,6,8,9,9.

    What is the expected value of the sampling distribution of the mean for n =3, when drawing from this population of scores? What is the Standard Error?

    My thoughts:

    Regardless of the shape of the population from which we are sampling, the sampling distribution of the sample mean will have a mean μ equal to the mean of the population from which we are sampling, and a standard deviation equal to σ/ sqrt(n) which equals the standard error (SE).

    Therefore μ = (4*3+5*2+6*2+8+9*2)/10 = 6 and then σ = 1.89737, n=3 => SE = 1.09545


    Any help is appreciated
    Last edited by Len; November 9th 2011 at 04:50 PM.
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