X U OExam nravQuestion 123.The MTI Enterprise has a total of 300 employees in its two manufacturing locationsand the headquarters office. Five years ago, a study showed the average...

Extracted text: Moodle + > X U O Exam nrav Question 1 2 3. The MTI Enterprise has a total of 300 employees in its two manufacturing locations and the headquarters office. Five years ago, a study showed the average commuting distance to work for MTI employees was 6.2 miles with a standard deviation of 3 miles. Recently, a follow-up study based on a random sample of 100 employees indicated an average travel distance of 5.9 miles. of Finish attempt.. Time left 0:42:4 (i) Assuming that the mean and standard deviation of the original study hold, calculate the probability of obtaining a sample mean of 5.9 miles or less? (ii) Based on probability in (i), infer whether the average travel distance may have changed? (iii) A second random sample of 40 was selected. This sample produced a mean travel distance of 5.9 miles. If the mean for all employees is 6.2 miles and the standard deviation is 3 miles, calculate the probability of observing a sample mean of 5.9 miles or less? (iv) Indicate why the probabilities differ in (i) and (iii) even though the sample means were the same in each case. (9marks)