Question
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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