This week we will learn to perform Analysis of Variance (ANOVA) using both Excel and R/RStudio.

Suppose that we want to perform ANOVA to determine if the mean ACT score at a small college is the same for the entering classes for the following years: 2000, 2005, 2010, 2015, 2020.

In other words, we want to perform the following test:

H0: 2000=2005=2010=2015=2020

Ha: Not all population means are equal.

We take samples from each group of students, as listed below:

Entering Class Year of:	Sample Size	ACT Scores
2000	20	21, 20, 23, 22, 23, 23, 25, 22, 22, 21, 23, 21, 25, 20, 26, 21, 22, 22, 22, 24
2005	18	24,24, 23, 25, 23, 25, 25, 21, 25, 25, 25, 23, 23, 23, 23, 22, 23, 26
2010	24	22, 22, 22, 22, 24, 22, 24, 23, 25, 22, 22, 24, 23, 23, 22, 22, 22, 23, 21, 21, 22, 23, 21, 23
2015	19	23, 19, 24, 23, 21, 19, 24, 22, 22, 23, 22, 22, 26, 20, 21, 25, 23, 22, 23
2020	15	22, 23, 22, 22, 23, 22, 23, 24, 21, 23, 23, 25, 22, 24, 22