Question

In: Statistics and Probability

The following data are from an experiment designed to investigate the perception of corporate ethical values...

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 4 3 2 3 4 2

Marketing Research 6 6 5 5 6 5

Advertising 9 10 9 8 9 9

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 alpha=.05 to test for a significant difference in perception among three groups. Calculate the value of the test statistic (2 decimals).

c. Using alpha=.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).

Solutions

Expert Solution

a)

sum of square; treatment= 109.00
sum of square; error= 7.50
mean square; treatment= 54.50
mean square; error= 0.50

b)

test statistic = 109.00

c)

Fisher's (LSD) for group i and j =                  (tN-k)*(sp*√(1/ni+1/nj)           = 0.87

(try 0.86 if this comes wrong)

Difference Absolute Value Conclusion
x1-x2 2.50 significant difference
x1-x3 6.00 significant difference
x2-x3 3.50 significant difference

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