Stat 143!) Recitation 13E Section 5.1 FOR THE NEXT E PRBLEMS: Suppose you 1want to estimate the average number of years employees have worked at your company so far. 1i"ou take a random sample of 100 workers and you nd the average number of years they have worked at your company so far is ll] years. {Assume the standard deviation for number of years worked is known to he 2 years.) 1?. Let 1'. 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 I to be skewed to the right; and hence does NUT have a normal distribution. Explain why this might be the case. 13. Find a 95% condence interval for the average number of years worked for employees over the whole company. 19. Explain why you could not do the previous problem [and use a formula involving a 2 value] without use of the Central Limit Theorem. Remember; I does not have a normal distribution! 20. 1Why are the proper conditions met in order to use the ll'lLT here?I Explain. 2 1. If the sample mean was 15 years instead of l, what would happen to the margin of error? {Assume nothing else in the problem has changed.) a. The margin of error would increase b. The margin of error would decrease c. The margin of error would stay the same