Question

As part of a study of corporate employees, the director of human resources for PNC, Inc. wants to compare the distance traveled to work by employees at its office in downtown Cincinnati with the distance for those in downtown Pittsburgh. A sample of 40 Pittsburgh employees showed they travel a mean of 370 miles per month. A sample of 35 Cincinnati employees showed they travel a mean of 380 miles per month. Do the Cincinnati employees travel the same distance to work, on average, as the Pittsburgh employees

Answer 1

Both groups of Employees do not travel the same distance to work hence we will reject the Null hypothesis

Explanation:

40 Pittsburgh employees mean travel time = 370 miles

35 Cincinnati employees mean travel time = 380 miles

Both groups of Employees do not travel the same distance to work hence we will reject the Null hypothesis

H0 : μ1 = μ2

H1 : μ1 ≠ μ2

mean = total distance / Number of employees

For Pittsburgh

370 = x / 40

x = 370 * 40 = 14,800 miles

For Cincinnati

380 = y / 35

y = 380 * 35 = 13,300 miles