Question

(6 points) 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 ABCDEFGHIJ Test A 109|83|74 97 11693|92|124101105 Test B 114837497 1199690124 102 108 1. Consider (Test A - Test B). Use a 0.01 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 z 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. Yes OB. No 2. Construct a 99% confidence interval for the mean of the differences. Again, use (Test A - Test B). !! <u<

Answer 1

> Solutions Test B Test Person سا۱۱ 160 با 2 ?و تا بیادم | 4s 41 (16 | با1) اوا 102 | و 3- ها ها در ہوا۔ علما ( - المع)اعى اورها - 53 ) الوفا - ك) - و ۵۷۱۰) - 53 2108/ : - 5 = 1.4555 CScanned with CamScanner

I all. A) Matched pairs I To test in Ho: ld =0 vs Hild & 0. Statistic i pet ____+ Test - c - Lok___ under to ta d ł - 7.3 Sd/50 2.11081 fte - tiba -1.9426 - b) o The test statinic is t= -1.9476. 2=ool **- tot = totta t9,0005 = 3.25 the critical value is t²= 3.25 • Here it < t*. . we may failed to reject to CScanned with CamScanner

I dll. B) No. 2) The gg % confidence interval for the mean of the differences is -1.3 -2.1108 x 3.25 -1.37 2.1108 - Jio 325 3- 2:1694 -1.3 2.1694 = (-3.4694, 0.8694 & The mean gg; confidence interval for the of the differences is -3.4694 < Hd < 0.8694 CScanned with CamScanner