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
7	9	9
6	9	10
5	8	9
6	8	8
7	9	9
5	8	9

1. Compute the values identified below (to 1 decimal, if necessary).
   

   Sum of Squares, Treatment
   Sum of Squares, Error
   Mean Squares, Treatment
   Mean Squares, Error

   
   
2. Use  = .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 Selectless than .01between .01 and .025between .025 and .05between .05 and .10greater than .10Item 6  
   
   What is your conclusion?
   SelectConclude the mean perception scores for the three groups are not all the sameCannot conclude there are differences among the mean perception scores for the three groupsItem 7  
   
3. Using  = .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
   1 -  2		SelectSignificant differenceNo significant differenceItem 10
   1 -  3		SelectSignificant differenceNo significant differenceItem 12
   2 -  3		SelectSignificant differenceNo significant differenceItem 14

Answer 1

a)

sum of square; treatment=	31.00
sum of square; error=	7.50
mean square; treatment=	15.50
mean square; error=	0.50

b)

test statistic =

31.00

p value is less than 0.01

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)           =

0.87

Difference	Absolute Value	Conclusion
x1-x2	2.50	significant difference
x1-x3	3.00	significant difference
x2-x3	0.50	not significant difference