3. Statistics Canada studies show that the average Canadian drinks 68 liters of beer per year. The distribution is normal and the standard deviation is 15 liters. A random sample of 25 Canadians is taken. a. Give the sampling distribution of the sample mean. b. What is the probability of our sample having a mean greater than 62 liters. c. What is the probability of our sample having a mean less than 65 liters? d. What is the probability of our sample having a mean between 70 and 75 liters? e. What is the probability of a sample mean within 6 liters of the population mean? f. What is the range of means for the top 10% of samples? g. Is the assumption that the distribution normal reasonable? (Hint - compare what the normal distribution predicts to your own observations of people's drinking habits)