It is known in a pharmacological experiment that rats fed with a particular diet over a certain period gain an average of 40 gms in weight. A new diet was tried on a sample of 20 rats yielding a weight gain of 43 gms with a variance of 7 gms2 . (3 pts.) a) Calculate the 99 % CI for the true mean weight. b) Test the hypothesis that the new diet is an improvement assuming normality. Use 1 % LOS