The General Social Survey collects data on demographics, education, and work, among many other characteristics of US residents.47 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 HS Jr Coll Bachelors Graduate Total
Mean 38.67 39.6 41.39 42.55 40.85 40.45
SD 15.81 14.97 18.1 13.62 15.51 15.17
n 121 546 97 253 155 1,172

Required:
a. Write hypotheses for evaluating whether the average number of hours worked varies across the five groups.
b. Check conditions and describe any assumptions you must make to proceed with the test.