Question

The following data are from an experiment designed to investigate the perception of corporate ethical values among individuals specializing in marketing (higher scores indicate higher ethical values).

Marketing Managers	Marketing Research	Advertising
3	6	6
4	6	6
4	5	6
3	6	7
5	5	6
5	5	5

a) Use α = 0.05 to test for significant differences in perception among the three groups.

Find the value of the test statistic. _______

Find the p-value. (Round your answer to three decimal places.)

p-value = _______

b) At the α = 0.05 level of significance, we can conclude that there are differences in the perceptions for marketing managers, marketing research specialists, and advertising specialists. Use the procedures in Section 13.3 to determine where the differences occur. Use α = 0.05. (Use the Bonferroni adjustment.)

Find the value of LSD. (Round your comparisonwise error rate to four decimal places. Round your answer to three decimal places.)

LSD = _______

Find the pairwise absolute difference between sample means for each pair of treatments.

x_MM − x_MR = ________  

x_MR − x_A = ________x_MM − x_A = ________

Answer 1

applying ANOVA:

a)

test statistic =

13.00

p value =0.001

b) At the α = 0.05 level of significance, we can conclude that there are differences in the perceptions for marketing managers, marketing research specialists, and advertising specialists.

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

0.87

Difference	Absolute Value	Conclusion
x2-x1	1.50	significant difference
x3-x1	2.00	significant difference
x3-x2	0.50	not significant difference