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In: Statistics and Probability

Please note that for all problems in this course, the standard cut-off (alpha) for a test...

Please note that for all problems in this course, the standard cut-off (alpha) for a test of significance will be .05, and you always report the exact power unless SPSS output states p=.000 (you’d report p<.001). Also, remember that we divide the p value in half when reporting one-tailed tests with 1 – 2 groups.

Problem Set 4: One-Way Repeated Measures ANOVA (7 pts)

Research Scenario: A savvy business owner wanted to assess whether the type of fragrance influenced the amount of money spent. He tried peppermint, lavender, lemon, and bergamot essential oils in his four stores. Amount of money spent (in hundreds) is reported for each type of fragrance. Conduct a one-way repeated measures ANOVA to determine whether fragrance influences total amount of money spent.

Peppermint

Lavender

Lemon

Bergamot

5.2

5.3

5.1

3.9

5.1

4.8

4.9

4.3

4.8

5.0

2.2

3.5

6.2

3.2

4.0

3.7

3.1

2.3

3.8

2.1

4.5

4.9

4.7

2.3

4.8

3.5

3.8

1.0

3.7

4.7

4.1

2.8

2.8

5.1

3.5

4.2

  1.     Paste the relevant SPSS output. (2 pt)
  1.     Create an appropriate graph to display this data (make sure you have labels on both x and y axes). (2 pts)
  1.        Write an APA-style Results section based on your analysis. All homework “Results sections” should follow the examples provided in the presentations and textbooks. They should include the statistical statement within a complete sentence that mentions the type of test conducted, whether the test was significant, and if relevant, effect size and/or post hoc analyses. Don’t forget to include a decision about the null hypothesis. (3 pts)

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