In: Statistics and Probability
Professor Hadley has a weakness for cream filled donuts, but he believes that some bakeries are not properly filling the donuts. A sample of 30 donuts reveals a mean amount of filling equal to 0.82 cups, and the sample standard deviation is 0.01 cups. Professor Hadley has an interest in the average quantity of filling, of course, but he is particularly distressed if one donut is radically different from another. Professor Hadley does not like surprises. What is the Test Statistics to test the null hypothesis that the population variance of donut filling is not significantly different from the average amount of filling?