Question: The personnel director of Cander Machine Products is investigating “perfectionism” on the job. A test designed to measure perfectionism was administered to a random sample of 18 employees. The scores ranged from 20 to about 40. One of the facets of the study involved the early background of each employee. Did the employee come from a rural background, a small city, or a large city? The scores are:

a) At the .05 level, can it be concluded that there is a difference in the three mean scores?

b) If the null hypothesis is rejected, can you state that the mean score of those with a rural background is different from the score of those with a large-city background?