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Every year sixth-grade students in Ohio schools take proficiency tests. The list of sixth-grade reading score changes from the prior year are given below. Negative values indicate a decrease in score, positive values show an increase, and a zero shows no change from the prior year. Use the sign test to test the hypothesis that, "on average, reading scores have decreased from the prior year" use α= 0.05 -4 -4 -10 -9 -30 6 18 -3 2 -5 -6 -12 -9 1 -1 -2 19 6 -1 -14 -13 5 12 -8 6 -3 -8 -14 -16 -6 2 0 16 -7 6 -11 6 -8 -4 13 9 -12 12 -10
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The mean was 56 and the standard deviation was 20. On the second exam, she scored 82; the mean was 74 and the standard deviation was 5. On which exam did she do better?
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