Question

Ten randomly selected people took IQ test A, and next day they took a very similar IQ test B. Their scores are shown in the table below.

Person    1    2 3 4    5 6    7 8 9 10

   test A 114    91 121 95 73    84 97 108    112 101

   test B 117 90 123    99 71    85 99 106 112    99

Consider (Test A − − Test B). Use a 0.01 significance level to test the claim that people do better on the second test than they do on the first.

(a) The test statistic is =

(b) The P-value is =

Construct a 99% confidence interval for the mean of the differences. Again, use (Test A −− Test B).
______________<μ<______________

Answer 1

The statistical software output for this problem is :

(a) The test statistic is = -0.71

(b) The P-value is = 0.2475

A 99% confidence interval for the mean of the differences is :

-2.7852 < μ < 1.7852