Go back to the information in exercise 11.20. Assuming the conditions for ANOVA are met, test the hypothesis that the mean number of hours of TV varies by class, reporting the p value and conclusion. Use the 0.05 level of significance. State your conclusion in the context of the data.

Exercise 11.20

A random survey was done at a small Lutheran college, and the students were asked how many hours a week they spent watching TV. They were also asked what class they were in (1 = Freshman, 2 = Sophomore, 3 = Junior, 4 = Senior). The survey was given only to psychology students. Minitab output is shown.

a. Figure out the missing SS (sum of squares).

b. Figure out MS class by dividing SS class (from part a) by DF class, and compare it with 8.9.

c. Check the F-value by dividing MS class by MS Error.

d. When MS factor (in this case MS class) is smaller than MS Error, what does that show about the F-value? Will it be more than 1 or less than 1?