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JX M N O P C E F G H B D Vacation QUESTION 12 At 5% significance level, test the hypothesis that the average employee has more than 150 Hours 400 hours of vacation in a year. (9 marks) 200 204 160 (a) State the null and alternative hypotheses: 204 220 110 122 65 220 200 85 100 (b) Determine the tail-test: 260 80 110 110 75 220 220 240 (c) Find the critical value: 24 245 250 200 110 220 110 90 110 (d) Find the test value: 166 100 110 160 180 100 110 220 100 (e) Make the decision: 200 155 180 60 125 145 144 290 350 (f) Interpret the p-value: 120 140 155 140 105 90 277 90 120 260 220 100B C D E F G M O P Q Males Females' QUESTION 13 Weekly Weekly At 5% significance level, test the hypothesis that there is a significant difference in the average Income Income income between male and female employees. (Assume equal variance) (9 marks) 1050 900 78 777 290 80 600 680 F D O N Q UA W N 600 800 (a) State the null and alternative hypotheses: 80 800 190 90 600 1000 1790 800 1800 900 880 345 120 90 130 750 670 875 (b) Determine the tail-test: 1050 70 1300 780 78 890 1700 970 500 880 690 680 600 73 158 980 (c) Find the critical value: 1575 790 400 670 1600 780 1500 800 1450 680 40 800 400 800 1200 875 (d) Find the test value: (e) Make the decision: (f) Interpret the p-value