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; Less than HS 38.67 Educational attainment Jr Coll 41.39 18 1 Bachelor's 42.55 Graduste 40.85 Total HS 39.6 Меan 40.45 SD 15 81 1497 13 62 15.51 15 17

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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;
Educatiomal attainment
HS
39.6
Jr Coll
41.39
Bachelor s
42.55
Less than HS
Graduste
Total
Mean
38.67
40.85
40.45
SD
15.81
14.97
18.1
13.62
15.51
15.17
121
546
97
253
155
1,172
(a) Write hypotheses for evaluating whether the average number of hours worked varies
across the five groups.
(b) Below is part of the output associated with this test. Fill in the empty cells (use the
knowledge covered in class for determining Df, Sum Sq, Mean Sq and F value;
Df
Sum Sq.
Mean Sq
F Test
Pr (>F)
Between Groups
501.54
0.0682
Within Groups
267382
Sum Sq. Total
(c) What is the p-value associated with this ANOVA test?
(d) Interpret the conclusion of the test in the context of this study.
Transcribed Image Text: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; Educatiomal attainment HS 39.6 Jr Coll 41.39 Bachelor s 42.55 Less than HS Graduste Total Mean 38.67 40.85 40.45 SD 15.81 14.97 18.1 13.62 15.51 15.17 121 546 97 253 155 1,172 (a) Write hypotheses for evaluating whether the average number of hours worked varies across the five groups. (b) Below is part of the output associated with this test. Fill in the empty cells (use the knowledge covered in class for determining Df, Sum Sq, Mean Sq and F value; Df Sum Sq. Mean Sq F Test Pr (>F) Between Groups 501.54 0.0682 Within Groups 267382 Sum Sq. Total (c) What is the p-value associated with this ANOVA test? (d) Interpret the conclusion of the test in the context of this study.
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