V Questions Assignment Score: 78.6% ,\' collapse ? Resources C Feedback Give up?
ID: 2949696 • Letter: V
Question
V Questions Assignment Score: 78.6% ,' collapse ? Resources C Feedback Give up? 2. Question Correct 2 Mttempts Question 6 of 8> 2 Attempt 7 100% 3. Question Correct 3 Attempts Supposc a cosmetics company wants to test the effectiveness of three diffcrent sales training programs. Steve, an analyst in the company's HR department, randomly assigns 18 new cmployccs. 6 cach, to the training programs. After the training program is complctc. cach cmploycc takes a product knowlcdgc and sales skills assessmcnt test, where scores are on u scale from 0 to 100 100% 4. Question Correct 5 Attempts Steve records the assessment test results for eacth employee and analyzes the smple data. The distribution of test scores for each sample is appruxely nowithout any outliers. As population variances are unknuw, Sleve assumes equal variances based on the sample dala because side by side bosplots fthesples indicale relatively eq sies of the variances 100% 5. Question Correct 7 nttempts Steve intends to conduct a one-way ANOVA F-test at 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, MSC, s 176.1667 and the mean square within groups, also referred to as the ean square error, MSE. is 33.8444. Steve computes the F-statistie, which is F 5.2052 100% Select the statement that accuratcly evaluates whether or not the requirements of a onc-way ANOVA F-test have becrn met in Steve's experiment. If the requirements have not been met, do not proceed to answer subsequent questions. s. Question In Progress 7 Attempts O The requirements have been met because the sampling distributions are approximately normal and the dependent 40% variable is categorical O The requirements have not been met because the population variances are unknown. The requirements have heen met because the samples are properly selected and are approximately normally 7. Question In Progress Aulerripts distrihuted with equal variances The requirements have not heen met becase the sample sizes are not properly selected and are not large enough. ?The requirements have been met because the amples are properly selected, are normally dBl ributed, and o equal sizes 3. Questiorn In Progress 3 Attempts 55.6% If the test requirements have been met, compute the degrees of freedom for the means square between groups, MSG, and the degress of freedom for the ean squarc cror, MSE. Assignment Info ToailsExplanation / Answer
The total number of employees N = 18
No.of sales training program, k = 3
Degrees of Freedom : For Total = N -1 = 18-1 = 17
For Between Groups = k-1= 3-1 = 2
For Error = N-k = 18-3 = 15
Therefore
df1 = 2, df2 = 15
F = 5.2052
The critical value of F for (2,15 ) df at 5% significance level is 3.68
F-critical value = 3.68
Decision and conclusion :
Steve should reject the null hypothesis. There is sufficient evidence to reject the null hypothesis because F statistic is greater than the critical value. Therefore, Steve should conclude that one or more of the mean test score are different,
Related Questions
Navigate
Integrity-first tutoring: explanations and feedback only — we do not complete graded work. Learn more.