Data from the General Social Survey compares the average number of hours worked
ID: 3040365 • Letter: D
Question
Data from the General Social Survey compares the average number of hours worked per week by US residents with and without a college degree. The categories for educational level were: less than high school, high school, junior college, bachelor's degree, or graduate degree. 1005 people were surveyed. Complete the following ANOVA table (assume that the necessary conditions are met).
(3 points) Data from the General Social Survey compares the average number of hours worked per week by US residents with and without a college degree. The categories for educational level were: less than high school, high school, junior college, bachelor's degree, or graduate degree. 1005 people were surveyed. Complete the following ANOVA table (assume that the necessary conditions are met) df MS 503.34 0.0533 Degree Residuals Total 274141 We conclude that the data provide convincing evidence that at least one mean number of hours worked per week is different from the other means across educational attainment levels. (enter either TRUE or FALSE)Explanation / Answer
(a)
ANOVA TABLE
df SS MS F Pr(>F)
Degree k-1=4 2013.36 503.34 1.8361 0.0533
Residuals N-k=1000 274141 274.141
Total N-1=1004 276154.36
EXPLANATION:
df for Degree = k-1 = 5 - 1 = 4
df for Residuals = N - k = 1005 - 5 = 1000
df for Total = N - 1 = 1005 - 1 = 1004
SS for Degree = 503.34 X 4 = 2013.36
Total SS = 2013.36 + 274141 = 276154.36
MS for Residuals = 274141/1000 = 274.141
F = 503.34/274.141= 1.8361
(b)
Correct option:
TRUE
EXPLANATION:
Since the calculated value of F = 1.8361 is greater than critical value of F = 0.0533, H0 is rejected.
Conclusion:
The data provide convincing evidence that at least one mean number of hours worked per week is different from the other means across educational attainment levels.
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