Please SHOW and EXPLAIN all work! Question 8 of 9 Question Suppose a cosmetics c
ID: 3174931 • Letter: P
Question
Please SHOW and EXPLAIN all work!
Question 8 of 9 Question 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 F-test at a significance level of a 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 156.7222 and the mean square within groups, also referred to as the mean square error, MSE, is 35.0889. Steve computes the F-statistic, which is F 4.4379 Select the statement that accurately evaluates whether or not the requirements of a one-way ANOVA F-test have been met in Steve's experiment. If the requirements have not been met, do not proceed to answer subsequent questions O The requirements have been met because the sampling distributions are approximately normal and the dependent variable is categorical O The requirements have not been met because the sample sizes are not properly selected and are not large enough O The requirements have not been met because the population variances are unknown O The requirements have been met because the samples are properly selected, are normally distributed, and of equal sizesExplanation / Answer
Correct Answer: Option (E)
df1 = 3-1 = 2 df2 = 18 - 3 = 15
F critical value = 3.6823 at 5% los andn (2,15) df
Correct Answer: Option (A)