Consumer advocate claims there is no difference in variance of number of hours that 2 companies’ batteries will last. Sample of 10 batteries selected from company x, and the variance of hours is 24. Sample of 10 batteries from company y has a variance of 40. At a significance level of 0.10, test the claim that there is no difference in the variance of the life of the batteries.

Solution: We’ll test the null hypothesis (claim, in this case)

To test the null hypothesis, we use a two-tailed F-test. Using the information we have about the sample variances and sample sizes, we use Statdisk to get the following:

The p-value is 0.1441, which is greater than 0.10. This means that we fail to reject the null hypothesis. In other words, we don’t have enough information to reject the claim.