A telemarketing company wants to compare the effectiveness of five of its employees by looking at the percentage of survey questions completed.Data from four past surveys are randomly chosen for each of the employees,and the percentage of completed questions is calculated.Calculate MST,MSE and the F-ratio.Can you reject H0 using α = 0.05? The ANOVA table is listed below. Analysis of Variance
Source Sum-of-Squares df Mean-Square F-ratio P-value
Employee 4359.540
Error 875.978
Total 5235.518
A)MST = 871.908; MSE = 58.399; F-Ratio = 14.930; No,do not reject H0 using α = 0.05.
B)MST = 1089.885; MSE = 54.749; F-Ratio = 19.907; Yes,reject H0 using α = 0.05.
C)MST = 1089.885; MSE = 46.104; F-Ratio = 23.640; Yes,reject H0 using α = 0.05.
D)MST = 1089.885; MSE = 58.399; F-Ratio = 18.663; Yes,reject H0 using α = 0.05.
E)MST = 871.908; MSE = 46.104; F-Ratio = 18.912; No,do not reject H0 using α = 0.05.

Question

Quizplus · Accepted Answer

To calculate MST, divide the sum of squares for Employee by the corresponding degrees of freedom: 4359.540 / 4 = 1089.885. To calculate MSE, divide the sum of squares for Error by the corresponding degrees of freedom: 875.978 / (4 * 5) = 58.399. The F-ratio is the ratio of the mean square for Employee to the mean square for Error: 1089.885 / 58.399 = 18.663. The P-value is not given, but if it is less than 0.05, we can reject the null hypothesis. Since the F-ratio is large and the MSE is small, we can conclude that there is evidence to suggest that at least one of the employees is more effective than the others. Therefore, we can reject H0 using α = 0.05.

A Telemarketing Company Wants to Compare the Effectiveness of Five