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 3.6 3.9 1.9 2.8 3.8 2.1 2.4 1.8 3.5 2.1 2.5 2.8 3.8 2.6 3.1 2 3.1 2.4 3.7 1.9 3.1 2.2 1.9 2.2 3.9 2.4 2.8 1.9   3.6 2.8   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=μ4H0: μ1=μ2=μ3=μ4 H1:H1: At least two of the means differ from each other. For this study, we should use  ANOvA The test-statistic for this data = (Please show your answer to 3 decimal places.) The p-value for this sample = (Please show your answer to 4 decimal places.)

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter10: Statistics
Section10.5: Comparing Sets Of Data
Problem 26PFA
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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
3.6 3.9 1.9 2.8
3.8 2.1 2.4 1.8
3.5 2.1 2.5 2.8
3.8 2.6 3.1 2
3.1 2.4 3.7 1.9
3.1 2.2 1.9 2.2
3.9 2.4 2.8 1.9
  3.6 2.8  

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=μ4H0: μ1=μ2=μ3=μ4
H1:H1: At least two of the means differ from each other.

  1. For this study, we should use  ANOvA
  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.)
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