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 5 4 10 4 4 11 3 3 10 4 3 9 5 4 10 3 3 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= The -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 , 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 xbar1-xbar2 xbar1-xbar3 xbar2-xbar3

Answer 1

a)

sum of square; treatment=	157.00
sum of square; error=	7.50
mean square; treatment=	78.50
mean square; error=	0.50

b)

value of the test statistic =157

p value = less than .01

Conclude the mean perception scores for the three groups are not all the sameI

c)

critical value of t with 0.05 level and N-k=15 degree of freedom=				tN-k=	2.131
Fisher's (LSD) for group i and j =                  (tN-k)*(sp*√(1/ni+1/nj)           =					0.87

Difference	Absolute Value	Conclusion
x1-x2	0.50	not significant difference
x1-x3	6.00	significant difference
x2-x3	6.50	significant difference