The table shows the number of work hours last week from a random sample of people during

The table shows the number of work hours €œlast week€ from a random sample of people during the €œGreat Recession,€ as reported by the 2008 General Social Survey. Unemployed people were not included. The headings show educational level: LTHS stands for €œless than high school,€ HS refers to a high school degree, JC refers to a degree from a two-year college, and Bach refers to a four-year bachelor€™s degree.

a. Compare the sample mean numbers of work hours for these groups.
b. Find the number of pairwise comparisons. Report the Bonferroni corrected significance level required to carry out two-sample t-tests to test whether each pair of means is different. The desired overall significance level is 0.05.
c. Assume that conditions for two-sample t-tests are met. Use an overall significance level of 0.05, and for each pair, test whether the means are different. Report the value of the t-statistic, the p-value, and the conclusion for each test. Are education levels and work hours associated?

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LTHS HS JC Bach 50 49 45 60 40 41 35 36 61 40 40 40 40 65 55 12 60 40 50 40 6 60 45 40 35 38 89 32 20 41 37 5 62 23 30 46 80 43 30