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	106	87	89	102	108	126	113	94	98	78
Test B	111	88	92	101	111	128	112	92	99	79

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. Round calculated answers to three decimal places.

(a) What test method should be used?

A. Two Sample z
B. Matched Pairs
C. Two Sample t

(b) The null hypothesis is μdiff=0μdiff=0. What is the alternate hypothesis?

A. μdiff≠0μdiff≠0
B. μdiff<0μdiff<0
C. μdiff>0μdiff>0

(c) The test statistic is

(d) The p-value is

(e) 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).
<μ<<μ<

Answer 1