1.Let X be the number of years an employee has worked at this company. Assuming this company has been around for a long time, you might expect the distribution of X to be skewed to the right, and hence does NOT have a normal distribution. Explain why this might be the case.

2.Explain why you could not do the previous problem (and use a formula involving a Z value) without use of the Central Limit Theorem. Remember, X does not have a normal distribution!

FOR THE NEXT 6 PROBLEMS (#17-22): Suppose you want to estimate the average number of years employees have worked at your company so far. You take a random sample of 100 workers and you nd the average number of years they have worked at your company so far is 10 years. (Assume the standard deviation for number of years worked is known to be 2 years.) 17. Let X be the number of years an employee has worked at this company. Assuming this company has been around for a long time, you might expect the distribution of X to be skewed to the right, and hence does NOT have a normal distribution. Explain why this might be the case. I A: 18. Find a 95% condence interval for the average number of years worked for employees over the whole company using StatCrunch. 19. Explain why you could not do the previous problem (and use a formula involving a Z value} without use of the Central Limit Theorem. Remember, X does not have a normal distribution