Ten randomly selected people took an IQ test A, and next day they took a very si

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. 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. Matched Pairs B. Two Sample t C. Two Sample z (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).

Explanation / Answer

1)a ) matched pair design

b) test statistic =-1.0366

c)critical value =-1.8331

d) no

2) for 95% CI; critical value t =2.2622

therefore 95% confidence interval =sample mean -/+ t*std error =-2.5458 ; 0.9458

test A test B difference(d) 94 96 -2 105 108 -3 83 86 -3 104 106 -2 125 128 -3 114 110 4 88 86 2 110 110 0 74 73 1 100 102 -2 mean -0.800 std deviaition 2.4404 sample size 10.0000 std error= std dev/(n)^(1/2) 0.7717 t stat= (d)/std error -1.0366

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