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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 the table below.
Person | A | B | C | D | E | F | G | H | I | J |
Test A | 77 | 113 | 97 | 107 | 95 | 128 | 100 | 88 | 112 | 84 |
Test B | 76 | 116 | 101 | 108 | 96 | 127 | 99 | 87 | 112 | 85 |
1. Consider (Test A - Test B). Use a 0.010.01 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. Yes
B. No
2. Construct a 9999% confidence interval for the mean of the
differences. Again, use (Test A - Test B).
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