The manager of a radio rating service wanted to determine if there were differences in radio listening habits among three different cities in Georgia. She took a random sample of five adults in each of the cities and asked each to report the number of hours spent watching television in the previous week. The results are shown below. (Assume normal distributions with equal variances.)

a.Set up the ANOVA Table. Use a = 0.05 to determine the critical value.

b. Can she infer at the 5% significance level that differences in hours of television watching exist among the three cities?

Macon 25 31 18 23 27

Athens 28 33 35 29 36

Augusta 23 18 21 17 15