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 92 109 106 115 94 120 103 100 75 87 Test B 90 110 108 115 94 121 104 103 77 88 1. Consider (Test A - Test B). Use a 0.05 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) The test statistic is  (b) The p-value is  2. Construct a 95% confidence interval for the mean of the differences. Again, use (Test A - Test B).

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