Question

A researcher wants to know if the clothes a woman wears is a factor in her...

A researcher wants to know if the clothes a woman wears is a factor in her GPA. The table below shows data that was collected from a survey.

Shorts Dress Jeans Skirt
3.9 2.6 2.7 3.4
2.1 2.6 1.8 3.5
2.4 2.3 3 3.5
2 2.1 4 3.8
3.7 2.6 2.3 3.2
2.5 2.6 2.8 3.5
3.6 1.9 2.9 2.9
2.2 2.3 2.2 2.1
2.7 3.5

Assume that all distributions are normal, the four population standard deviations are all the same, and the data was collected independently and randomly. Use a level of significance of α=0.1α=0.1.





H0: μ1=μ2=μ3=μ4


H1: At least two of the means differ from each other.

  1. For this study, we should use Select an answer:
  2. The test-statistic for this data =_____ (Please show your answer to 3 decimal places.)
  3. The p-value for this sample =_______ (Please show your answer to 4 decimal places

Homework Answers

Answer #1

Excel output:

Anova: Single Factor
SUMMARY
Groups Count Sum Average Variance
Shorts 9 25.1 2.788889 0.551111
Dress 8 19 2.375 0.073571
Jeans 8 21.7 2.7125 0.435536
Skirt 9 29.4 3.266667 0.2525
ANOVA
Source of Variation SS df MS F P-value F crit
Between Groups 3.467361111 3 1.155787 3.469915 0.028253 2.922277
Within Groups 9.992638889 30 0.333088
Total 13.46 33
  1. The test-statistic for this data =3.470
  2. The p-value for this sample =0.0283
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