5.48 Work hours and education: The General Social Survey collects data on demographics, education, and work, among many other characteristics of US residents. Using ANOVA, we can consider educational...



5.48 Work hours and education: The General Social Survey collects data on demographics, education, and work, among many other characteristics of US residents. Using ANOVA, we can consider educational attainment levels for all 1,172 respondents at once. Below are the distributions of hours worked by educational attainment and relevant summary statistics that will be helpful in carrying out this analysis.



Educational attainment











































Less than HS (1)HS (2)Jr Coll (3)Bachelor's (4)Graduate (5)Total
Mean38.6739.641.3942.5540.8540.45
SD15.8114.9718.113.6215.5115.17
n121546972531551172

(a) Write hypotheses for evaluating whether the average number of hours worked varies across the five groups.




  • ( )Ho: μ1 = μ2 = μ3 = μ4 = μ5

        Ha: μ1 ≠ μ2 ≠ μ3 ≠ μ4 ≠ μ5

  • ( )Ho: μ1 = μ2 = μ3 = μ4 = μ5

        Ha: At least one pair of means is the same

  • ( )Ho: μ1 = μ2 = μ3 = μ4 = μ5

        Ha: At least one of the means is different

  • ( )Ho: μ1 = μ2 = μ3 = μ4 = μ5 = μ6

        Ha: At least one of the means is different



(b) Below is part of the output associated with this test. Fill in the empty cells(please be accurate to two decimal places).







































DfSum SqMean SqF valuePr(>F)
degree__________________501.54_________0.0682
residuals_________267382________________________
Total__________________________________________

(c) What is the value of the test statistic associated with this ANOVA test? _________________
(please round to two decimal places)


80<br>60<br>40<br>20<br>Less than HS<br>HS<br>Jr Coll<br>Bachelor's<br>Graduate<br>00<br>HI<br>Hours worked per week<br>

Extracted text: 80 60 40 20 Less than HS HS Jr Coll Bachelor's Graduate 00 HI Hours worked per week
Jun 01, 2022
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