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	104	87	88	110	97	128	116	94	71	101
Test B	110	88	89	108	96	129	119	97	73	106

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. Round calculated answers to three decimal places.

(a) What test method should be used?

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

(c) The test statistic is

(d) The p-value is

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

Answer 1

Solution:

(a) What test method should be used?

Answer: C. Matched Pairs

(c) The test statistic is

Answer:

(d) The p-value is

Answer: The p-value is

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

Answer:

The 95% confidence interval for the mean of the differences is:

Therefore, a 95% confidence interval for the mean of the differences is