Question

Use the five-step hypothesis test procedure.
1. As part of a study of corporate employees, the director of human resources of PNC, Inc., wants to compare the distance that employees in their downtown Bayamón office must cover to work with the distance traveled by those who work in the center of Caguas. A sample of 35 Bayamón employees shows that they travel an average of 370 miles per month. For its part, a sample of 40 employees from Caguas indicates that they travel an average of 380 miles per month. The standard deviation of the population of Bayamón and Caguas employees is 30 and 26 miles, respectively. With a level of significance of 0.05, is there any difference between the average number of miles traveled per month between the employees of Bayamón and those of Caguas?

Answer 1

Claim: There is a difference between the average number of miles traveled per month between the employees of Bayamón and those of Caguas.

The null and alternative hypothesis is

n1 = 35

= 370

= 30

n2 = 40

= 380

= 26

Test statistic is

P-value = 2*P(Z < - 1.53) = 0.1256

( From z table)

P-value > 0.05 we fail to reject null hypothesis.

Conclusion:

There is NO difference between the average number of miles traveled per month between the employees of Bayamón and those of Caguas.