Ten randomly selected people took an IQ test A, and next day they took a very similar IQ test B. Their scores are shown in the table below. Person A B C D E F G H I J Test A 93 104 79 90 98 81 111 113 107 121 Test B 92 105 80 88 101 81 110 109 113 124 1. Consider (Test A - Test B). Use a 0.01 0.01 significance level to test the claim that people do better on the second test than they do on the first. (Note: You may wish to use software.) (a) What test method should be used? A. Two Sample z B. Two Sample t C. Matched Pairs (b) The test statistic is (c) The critical value is (d) Is there sufficient evidence to support the claim that people do better on the second test? A. Yes B. No 2. Construct a 99 99 % confidence interval for the mean of the differences. Again, use (Test A - Test B). <μ< < μ
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