Question

1. Jenny wants to know which college among the 3 she has attended that is best. In fact, she visited each school this past week. To answer her question, she asked five people at each school to rate how awesome their school is on a scale from 1 to 20, with 20 being the most awesome score possible. The results are below.

DATA:
University of Minnesota:
10
12
14
13
11

Cal State University, Fullerton:
18
20
19
18
17

Irvine Valley College:
18
20
19
20
17

a. State the null and alternative hypotheses.

b. Conduct an ANOVA, showing all your work for each step, and then also report your answers in an ANOVA table like the one below. You need to show both the work for the answers you will present in the table and then also present the completed table itself.

Source	Sum of Squares	df	Mean square	F-statistic
Effect	X	X	X	X
Error	X	X	X
Total	X	X

c. Use a Type I error rate of α (alpha) = 0.05, look up your critical F-value.

d. What do you conclude regarding the null hypothesis? Would the p-value be bigger or smaller than alpha?

e. What do you conclude about your research question (use your own words, in everyday language)?

f. Conduct and interpret follow-up t-tests for this ANOVA analysis, including an overall interpretation of the results.

Answer 1