Question

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 119 81 75 125 95 90 106 97 102 109
Test B 116 84 78 125 99 90 106 96 104 113



1. Consider (Test A - Test B). Use a 0.050.05 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) What test method should be used?

(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?

2. Construct a 9595% confidence interval for the mean of the differences. Use (Test A - Test B).

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