Suppose a cosmetics company wants to test the effectiveness of three different sales training programs. Steve, an analyst in the company's HR department, randomly assigns 18 new employees, 6 each, to...

Suppose a cosmetics company wants to test the effectiveness of three different sales training programs. Steve, an analyst in the company's HR department, randomly assigns 18 new employees, 6 each, to the training programs. After the training program is complete, each employee takes a product knowledge and sales skills assessment test, where scores are on a scale from 0 to 100.

Steve records the assessment test results for each employee and analyzes the sample data. The distribution of test scores for each sample is approximately normal without any outliers. As population variances are unknown, Steve assumes equal variances based on the sample data because side-by-side boxplots of the samples indicate relatively equal sizes of the variances.

Steve intends to conduct a one-way ANOVA ?-test at a significance level of ?=0.05 to test if the mean assessment test scores for the three training programs are all equal. The mean square between groups, MSG, is 176.1667 and the mean square within groups, also referred to as the mean square error, MSE, is 33.8444. Steve computes the ?-statistic, which is ?=5.2052.