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 the table below. Person A B C D E F G H I J Test A 84 102 105 122 79 96 94 110 89 113 Test B 84 104 107 125 82 99 94 112 92 113 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? 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 95% confidence interval for the mean of the differences. Again, use (Test A - Test B). <μ

Answer 1

from above

a)

B. Matched Pairs

b)

The test statistic is =-4.323

c)

The critical value is =-1.833

d)

Yes