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 BCDEFGHIJ
Test A 100 10811378 97 107 95 1299084
Test B 102 112 113 78 100 11095 129 92 84
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) What test method should be used?
OA. Two Sample t
OB. Two Sample z
OC. 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?
O A. Yes
O B. No
2. Construct a 95% confidence interval for the mean of the differences. Again, use (Test A - Test B).
< μ