The following data are from an experiment designed to investigate the perception of corporate ethical values among individuals who are in marketing. Three groups are considered: management, research and advertising (higher scores indicate higher ethical values).
Marketing Managers | Marketing Research | Advertising |
6 | 7 | 10 |
5 | 7 | 11 |
4 | 6 | 10 |
5 | 6 | 9 |
6 | 7 | 10 |
4 | 6 | 10 |
a. Compute the values identified below (to 2 decimal, if necessary).
Sum of Squares, Treatment | |
Sum of Squares, Error | |
Mean Squares, Treatment | |
Mean Squares, Error |
b. Use a=.05 to test for a significant difference in perception among the three groups.
Calculate the value of the test statistic (to 2 decimals).
The p-value is - Select your answer -less than .01between .01 and .025between .025 and .05between .05 and .10greater than .10Item 6
What is your conclusion?
- Select your answer -Cannot conclude there are differences among the mean perception scores for the three groupsConclude the mean perception scores for the three groups are not all the sameItem 7
c. Using a=.05, determine where differences between the mean perception scores occur.
Calculate Fisher's LSD value (to 2 decimals).
Test whether there is a significant difference between the means for marketing managers (1), marketing research specialists (2), and advertising specialists (3).
Difference | Absolute Value | Conclusion |
x1-x2 | - Select your answer -No significant differenceSignificant differenceItem 10 | |
x1-x3 | - Select your answer -No significant differenceSignificant differenceItem 12 | |
x2-x3 | - Select your answer -No significant differenceSignificant differenceItem 14 |
Answer:
a)
sum of square (treatment)=79.00
sum of square (error)=7.50
mean square (treatments)=39.50
mean square; error =0.50
b)
test statistic =39.5/0.5
= 79.00
p value = 0.0000
p value is less than 0.01
As we Observe that the p value is less than 0.05 (alpha)
So, we reject Null hypothesis
So, we conclude that mean percentage score are not at all same.
c)
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