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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

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 100 109 107 89 121 118 76 93 104 85
Test B 102 109 107 90 122 125 76 95 106 84

Consider (Test A - Test B). Use a0.05significance level to test the claim that people do better on the second test than they do on the first. Assume differences are normal. (Note: You may wish to use software.)

(a) The test statistic is (at least 2 digits after the decimal)

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(b) The critical value is (at least 3 digits after the decimal)

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(c) Is there sufficient evidence to support the claim that people do better on the second test? A.Yes B.No (d) Construct a95% confidence interval for the mean of the differences. Again, use (Test A - Test B) Use 3 digits after the decimal.

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