EXAMPLE 3 Constructing the ANOVA table

Use the summary statistics in Table 4 for the sample GPAs for Dorms A, B, and C to construct the ANOVA table.

Table 12.4: Table 4 Summary statistics for sample GPAs for Dorms A, B, and C
Dorm A Dorm B Dorm C
Mean
Standard deviation
Sample size

Solution

We have dormitories, and total sample size . Thus,

We summarize these calculations in the following ANOVA table, with the results rounded for clarity.

Source of variation Sum of squares Degrees of freedom Mean square -test statistic
Treatment SSTR = 1.8
Error SSE = 29.0288
Total SST = 30.8288

NOW YOU CAN DO

Exercises 15–22.