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 106 119 102 130 71 94 99 91 110 83 Test B 110 121 104 130 73 92 100 94 114 86 1. Consider (Test A - Test B). Use a 0.010.01 significance level to test the claim that people do better on the second test than they do on the first.

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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 106 119 102 130 71 94 99 91 110 83
Test B 110 121 104 130 73 92 100 94 114 86


1. Consider (Test A - Test B). Use a 0.010.01 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. Two Sample z
B. 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?

A. Yes
B. No


2. Construct a 9999% confidence interval for the mean of the differences. Again, use (Test A - Test B).
<?<<μ<

 

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