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Thread: Testing equality of variance

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    Testing equality of variance

    Two independent normal samples were taken. For the first sample, the following summary statistics are available:

    Sample size = 9, Σ x = 11.08 and Σ x2 = 110.97

    Similarly for the second sample, the following summary statistics are available:

    Sample size = 6, Σ y = 5.48 and Σ y2 = 61.65

    What is the largest value of the test statistic for testing the equality of population variances?


    Is this some sort of trick question, cos I think all that it is asking is the value of F(8,5,0.0975) which is 6.7572. Any thoughts.

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    Quote Originally Posted by Jpmps View Post
    Two independent normal samples were taken. For the first sample, the following summary statistics are available:

    Sample size = 9, Σ x = 11.08 and Σ x2 = 110.97

    Similarly for the second sample, the following summary statistics are available:

    Sample size = 6, Σ y = 5.48 and Σ y2 = 61.65

    What is the largest value of the test statistic for testing the equality of population variances?

    Is this some sort of trick question, cos I think all that it is asking is the value of F(8,5,0.0975) which is 6.7572. Any thoughts.
    I would have thought they want you to calculate $\displaystyle F = \frac{s_x^2}{s_y^2} = \frac{12.166}{11.329} = 1.075$ with (8, 5) degrees of freedom.
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