In: Statistics and Probability
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 | 92 | 109 | 106 | 115 | 94 | 120 | 103 | 100 | 75 | 87 |
Test B | 90 | 110 | 108 | 115 | 94 | 121 | 104 | 103 | 77 | 88 |
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 is the test statistic?
b) What is the critical value?
c) Construct a 9595% confidence interval for the mean of the differences. Again, use (Test A - Test B).