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Check My Work The following data are from an experiment designed to investigate the perception of...

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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
10 5 7
9 5 8
8 4 7
9 4 6
10 5 7
8 4 7
  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

Homework Answers

Answer #1
Anova: Single Factor
SUMMARY
Groups Count Sum Average Variance
Marketing Managers 6 54 9 0.8
Marketing Research 6 27 4.5 0.3
Advertising 6 42 7 0.4
ANOVA
Source of Variation SS df MS F P-value F crit
Between Groups 61 2 30.5 61 6.24E-08 3.68232
Within Groups 7.5 15 0.5
Total 68.5 17

a. Sum of Squares, Treatment=61.0, Sum of Squares, Error=7.5, Mean Squares, Treatment=30.5, Mean Squares, Error=0.5.

b. The value of the test statistic=61.00.

P-value=0.0000<0.01

The p-value is less than 0.01.

Conclude that there are differences among the mean perception scores for the three groups.

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