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In: Statistics and Probability

Ten randomly selected people took an IQ test A, and next day they took a very...

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 100 120 117 107 102 81 90 94 74 112 Test B 102 119 122 105 102 83 95 92 72 109 1. Consider (Test A - Test B). Use a 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. Matched Pairs C. Two Sample t

(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. No B. Yes 2.

Construct a 99% confidence interval for the mean of the differences. Again, use (Test A - Test B). <μ

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