Question 8 < > 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 60 80 Hours worked per week 60 40 20 20 Less than HS (1) HS (2) Jr Coll (3) Mean 38.67 39.6 41.39 SD 15.81 14.97 18.1 n 121 546 97 Less than HS HS Bachelor's (4) Graduate (5) Total 42.55 40.85 40.45 13.62 15.51 15.17 253 155 1172 Jr Coll Bachelor's (a) Write hypotheses for evaluating whether the average number of hours worked varies across the five groups. Ho: H = H = H3 H4 = H5 Ha: At least one of the means is different Ho: H =H = 3 = H4 = H5 Ha: PH3 H4 H5 Ho: H = =H3 H4 H5 Ha: At least one pair of means is the same Ho: H = H = H3 H4 H5 = 46 Ha: At least one of the means is different Graduate (b) Below is part of the output associated with this test. Fill in the empty cells (please be accurate to two decimal places). degree residuals Total Df Sum Sq 267382 Mean Sq 501.54 F value Pr(>F) 0.0682 (c) What is the value of the test statistic associated with this ANOVA test? (please round to two decimal places) (d) What is the p-value associated with this ANOVA test? (please round to four decimal places) (e) Interpret the conclusion of the test in the context of the study: Since p