Question 3 [10 points] A budding technology company is interested in the average age of its employees. A recent random sample of 25 employees revealed the average age to be 26 years with a standard deviation of 4 years. a) What is the best estimate of the value of the population mean? Estimate of Population Mean: n b) We will use the tdistribution for this question, but is there another way? If any, what assumptions must we make? '1 No, there is no other way in this instance, but we have to assume the population is normal. A No, there is no other way in this instance, and we don't have to make any assumptions. " Yes, there is another way. We could choose to use the 2 distribution because of the results of the oentJal limit theorem. c) For a 90 percent condence interval, what is the value of t? For full marks, your answers should be accurate to three decimal places. d) Develop the 90 percent condence interval for the population mean. For full marks, your answers should be accurate to three decimal places. (n, M) e) Would it be reasonable to conclude that the population mean is 25? K' Yes, it is reasonable. A No, it is not reasonable. '\" We do not have enough information to decide