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F-Test two samples for variances

This example shows you how to perform an F-Test. The F-Test is used to test the null hypothesis that the variances of two data populations are equal. The distribution of data is assumed to be normal.

H0: σ12 = σ22

H1: σ?12 ≠ σ22

The measured dissolving times of two different brands of instant coffe are:

To perform an F-Test, execute the following steps:

1. On the menu, select "F-Test Two-Sample for Variances" and click OK.

2. Click in the "Data 1" cellrange box and select the range B2:B9.

3. Click in the "Data 2" cellrange box and select the range C2:C7.

The default Alpha-value is the commonly used value 0.05. This means a 95% significance level.

4. Click in the "Output Range" cellrange box and select cell E1.

5. Click OK.


Modeller returns the p-values. If p > 0,05, we accept H0. If < 0,05 then we reject H0. In this case 0,93 > 0,05, therefore we accept the null hypothesis: the variances of the two samples are equal at 95% significance-level; specifically the variances of dissolving times for coffees are not different.

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