Question

(1 point) 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 EFİGHTİJ Test A 96 90 108 101 7683 109 114 129 Test B 99 92 109 1037485 112 112 13094 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? OA. Two Sample z OB. Two Sample t C. Matched Pairs (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? OA. No OB. Yes e mean of the differences. Again, use (Test A-Test B) 2: Construct a 95% confidence interval for th
Not sure how to use the software. Please help find 1. b and c and 2.

Answer 1

	Test A	Test B	d
A	96	99	-3
B	90	92	-2
C	108	109	-1
D	101	103	-2
E	76	74	2
F	83	85	-2
G	109	112	-3
H	114	112	2
I	129	130	-1
J	94	94	0

from the given data we have
dbar = -1
s(dbar) = 1.8257

b)
Test statistic,
t = -1/(1.8257/sqrt(10))
t = -1.7321

c) critical value = -1.8331
=T.INV(0.05,9)

#2.
t-value for 95%, -2.2622
CI = (-1 - 2.2622*1.8257/sqrt(10), -1 + 2.2622*1.8257/sqrt(10))
= (-2.3061, 0.3061)