Question 1 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...

Extracted text: Question 1 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. (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?