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    Test of hypothesis for difference between means

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    Given the sample data below calculate the following:
    a. Sample Mean - Set One: ______
    b. Sample Mean - Set Two:_____
    c. Sample Std. Dev. - Set One: _____
    d. Sample Std. Dev. - Set Two: _____
    e. Sample Size - Set One: _____
    f. Sample Size - Set Two: _
    g. Hypothesis Test at LOS 0.01 if Set One has a higher population average than Set Two. (Be sure to show all 6 steps).
    SET ONE: SET TWO:
    4 5
    5 7
    6 12
    7 4

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    https://brainmass.com/statistics/hypothesis-testing/hypothesis-testing-differences-between-means-164361

    Solution Preview

    Given the sample data below calculate the following:
    a. Sample Mean - Set One: ______ 5.5
    b. Sample Mean - Set Two:_____ 7
    c. Sample Std. Dev. - Set One: _____ 1.29
    d. Sample Std. Dev. - Set Two: _____ 3.56
    e. Sample Size - Set One: _____ 4
    f. Sample Size - Set Two: _ 4
    g. Hypothesis Test at LOS 0.01 if Set One has a higher population average than Set Two. (Be sure to show all 6 steps).
    SET ONE: SET TWO:
    4 5
    5 7
    6 12
    7 4

    Mean and Standard deviation
    Set one
    X= X 2 =
    4 16
    5 25
    6 36
    7 49
    Total= 22 126
    n=no of observations= 4
    Mean= 5.5 =22/4

    variance={summation of X 2 - n(Mean) 2 }/(n-1)= 1.6667 =(126-4*5.5^2)/(4-1)
    standard deviation =square root of Variance= 1.29 =square root of 1.6667 ...

    Solution Summary

    The following posting helps with various problems that involve hypothesis testing.

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