1. 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 shape of the distribution of peoples' beer consumption is normal reasonable? lHint compare what the normal distribution predicts to your own observations of peoples' beer drinking habits) 2. Annual starting salary for BCIT grads has a standard deviation of $10,000. What is the probability that a sample of 100 graduates will have a sample mean within $1500 of the population mean