# Thread: Testing equality of variance

1. ## 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.

2. Originally Posted by Jpmps
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.