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The following information applies to questions 66-69: A simple random sample of $17 full-time workers in the U.S. aged 40-50 were asked to give their educational level (no high school, high school, some college, bachelor degree, some graduate education) and their level of financial satisfaction with their job (well satisfied, somewhat satisfied. not satisfied). The following MINITAB output test whether there is an association between education level and job satisfaction, Rows are educational levels and columns are satisfaction levels: Expected counts are printed below observed counts well somewhat not Total no 12 20 111 143 H. S. 40. 43 64. 41 38 . 16 H. S. 56 257 79 392 110.83 176.57 Some 27 4 39 College 11.03 17.57 10. 41 B.S. 116 59 23 198 55.99 89. 18 52. 83 Graduate 39 5 1 15 12. 72 20.27 12.01 Total 231 368 218 817 Chisq - 19.99 + 30. 621 +139.062 + 27. 129 + 36. 639 + 6.264 + 0. 831 + 5. 066 + 3.944 + 64. 342 + 10.216 + 16.845 + 54.267 + 11. 503 + 10.091 - 436. 814 df = b , p - 0.000 10. If education level and financial satisfaction are not associated, what is the expected number of high school graduates who are not satisfied with their work? (i.e. what is the value of 'a'?) a. 104.6 b. 79.0 c. 21.1d. 6.264 1 1. What are the degrees of freedom? (i.e. what is the value of 'b'?) a. 2 b.3 c .4 d.8 e.15 f.816 12. Is it appropriate to use the chi-square test for this set of data? a. Yes, because the sample size is over 40. b. Yes, because all expected counts exceed 5. c. No, because one row total is less than 40. d. No, because not all expected counts exceed 5. 13. Assuming that using the chi-square test is appropriate, the conclusion is: a. There is strong evidence that educational level and financial satisfaction are associated. b. There is strong evidence that educational level and financial satisfaction are not associated, C. Educational level determines (or causes) the level of financial satisfaction. d. There is no evidence of an association between educational level and financial satisfaction. 14. Which of the following set of hypotheses is appropriate for testing equality of three means in ANOVA? a. Ho : H1 = H2 = H3 versus Ha : M1#H2#H3 b. Ho : X1 = x2 = x3 versus Ho : X1#x2#x3 C. Ho : M1 = H2 = 13 versus He: At least one u; differs from the others d. Ho : H1 = 12 = versus Ha : At least one x; differs from the others