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	115	96	105	111	100	102	126	85	73	88
Test B	121	98	105	112	100	104	129	87	73	92

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. No
B. Yes


2. Construct a $95$% confidence interval for the mean of the differences. Again, use (Test A - Test B).
$< \mu <$