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Assuming that the population variances are equal for Male and Female GPA’s, test the following sample data to see if Male and Female PhD candidate GPA’s (Means) are equal. Conduct a two-tail hypothesis test at á =.01 to determine whether the sample means are different. Do NOT do a confidence interval.

Male GPA’s Female GPA’s
Sample Size 12 13
Sample Mean 2.8 4.95
Sample Standard Dev .25 .8

  • statistics -

    Z = (mean1 - mean2)/standard error (SE) of difference between means

    SEdiff = √(SEmean1^2 + SEmean2^2)

    SEm = SD/√(n-1)

    Find table in the back of your statistics text labeled something like "areas under normal distribution" to find the proportion related to the Z score.

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