The use of preservatives by food processors has become a con

The use of preservatives by food processors has become a controversial issue. Suppose 2 preservatives are extensively tested and determined safe for use in meats. A processor wants to compare the preservatives for their effects on retarding spoilage. Suppose 15 cuts of fresh meat are treated with preservative A and 15 are treated with preservative B, and the number of hours until spoilage begins is recorded for each of the 30 cuts of meat. Referring to the Table below, State the F-test statistic for determining if the population variances differ for preservatives A and B.

Solution

Set up hypotheses as:

H0: sigma1^2 = sigma2^2

Ha: sigma1^2 not equal to sigma2^2

Since p value >0.05 accept null hypothesis that two variances are equal