Question

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
4	4	7
3	4	8
2	3	7
3	3	6
4	4	7
2	3	7

a. Compute the values identified below (to 2 decimal, if necessary).

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).

c. Using a=.05, determine where differences between the mean perception scores occur.

Calculate Fisher's LSD value (to 2 decimals)

d. Test whether there is a significant difference between the means for marketing managers (1), marketing research specialists (2), and advertising specialists (3).

Difference xbar1-xbar2 xbar1-xbar3 xbar2-xbar3

Absolute Value

Conclusion

Answer 1

From the given data:

a)

sum of square; treatment=	57.00
sum of square; error=	7.50
mean square; treatment=	28.50
mean square; error=	0.50

b)

test statistic =

57

The p-value is < .00001

conclude the mean perception scores for the three groups are not all the same.

c)

Fisher's (LSD) for group i and j =                  (tN-k)*(sp*√(1/ni+1/nj)           =

0.68

d)

Difference	Absolute Value	Conclusion
x1-x2	0.5	significant difference
x1-x3	4.00	significant difference
x2-x3	3.50	significant difference