SCENARIO 2: A company that employs a large number of salespeople is interested i

Question

SCENARIO 2: A company that employs a large number of salespeople is interested in learning which of the salespeople sell the most: those strictly on commission, those with a fixed salary, or those with a reduced fixed salary plus a commission. The previous month's records for a sample of salespeople are inspected and the amount of sales (in dollars) is recorded for each, as shown in the table. Perform an ANOVA in order to test the difference in mean amount of sales across the three employee types.

Commissioned                           Fixed Salary                     Commission Plus Salary

$507                                                $425                                      $492

$450                                                $443                                      $492

$532                                                $437                                      $470

$483                                                $432                                      $439

$466                                                $444

$410

QUESTION 1

Referring to Scenario 2, the Mean Sum of Squares (between groups) is:

950.41

None of the other choices is correct

4792.85

2396.43

QUESTION 2

Referring to Scenario 2, the critical value of the test statistic is:

3.89

2.52

None of the other choices is correct

0.12

QUESTION 3

Referring to Scenario 2, the observed value of the test statistic is:

3.89

0.12

None of the other choices is correct

2.52

QUESTION 4

Referring to Scenario 2, the p value is:

None of the other choices is correct

0.12

3.89

2.52

QUESTION 5

Referring to Scenario 2, the decision is:

Fail to reject null hypothesis, means are not different

None of the other choices is correct

Reject null hypothesis, means are different

Reject null hypothesis, means are not different

Commissioned                           Fixed Salary                     Commission Plus Salary

$507                                                $425                                      $492

$450                                                $443                                      $492

$532                                                $437                                      $470

$483                                                $432                                      $439

$466                                                $444

$410

Explanation / Answer

for above level of significance not given therefore I am considering that to be 0.05 . Please revert if it is different then it

applying one way ANOVA on above data:

question 1)

Mean Sum of Squares (between groups) is: 4792.85

QUESTION 2)

critical value of the test statistic is=3.89

QUESTION 3)

observed value of the test statistic is:2.52

QUESTION 4)

he p value is: =0.12

QUESTION 5

as p vlaue is higher then 0.05 level

the decision is:Fail to reject null hypothesis, means are not different

Groups Count Sum Average Variance commissioned 6 2848 474.67 1853.47 fixed salary 5 2181 436.20 62.70 commission plus salary 4 1893 473.25 628.92 ANOVA Source of Variation SS df MS F P-value F crit Between Groups 4792.85 2 2396.43 2.52 0.12 3.89 Within Groups 11404.88 12 950.41 Total 16197.73 14

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