A juice box company estimates that the variance of the number of fluid ounces in one box is .8 ounces. An independent company is asked to test this claim and finds that a random sample of 83 juice boxes has a variance of .71 ounces. Using a level of significance of .01 is there enough evidence to reject the manufacturer's claim assuming that the data is normally distributed?

A study is done on a SRS of 25 dogs that had their paws burned in the fires in southern California. For each dog, the left front paw was treated with an herbal gel and the right front paw was treated with a traditional burn gel. The burns on each paw are examined after two weeks and the mean difference in the severity of the burns in the left paw and right paw was 5.8 with a sample standard deviation of differences of 1.3. Is there enough evidence to show that the herbal gel treatment did not work equally as well as the traditional burn gel treatment assuming that both sets of data are approximately normal?