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 106 113 94 73 96 110 89 86 128 104 Test B 108 116 92 75 96 110 93 86 131 105 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. Assume differences are normal. (Note: You may wish to use software.) (a) The test statistic is (at least 2 digits after the decimal) -2.247922912 (b) The critical value is (at least 3 digits after the decimal) -2.262157 (c) Is there sufficient evidence to support the claim that people do better on the second test? A. No B. Yes (d) Now use a two sided hypothesis to construct a 95% confidence interval for the mean of the differences. Again, use (Test A - Test B) Use 3 digits after the decimal. -6.488377559 << -4.7548332

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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 106 113 94 73 96 110 89 86 128 104
Test B 108 116 92 75 96 110 93 86 131 105
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. Assume
differences are normal. (Note: You may wish to use software.)
(a) The test statistic is (at least 2 digits after the decimal) -2.247922912
(b) The critical value is (at least 3 digits after the decimal) -2.262157
(c) Is there sufficient evidence to support the claim that people do better on the second test?
A. No
B. Yes
(d) Now use a two sided hypothesis to construct a 95% confidence interval for the mean of the differences. Again, use (Test A - Test B) Use 3
digits after the decimal.
-6.488377559 << -4.7548332
Transcribed Image Text: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 106 113 94 73 96 110 89 86 128 104 Test B 108 116 92 75 96 110 93 86 131 105 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. Assume differences are normal. (Note: You may wish to use software.) (a) The test statistic is (at least 2 digits after the decimal) -2.247922912 (b) The critical value is (at least 3 digits after the decimal) -2.262157 (c) Is there sufficient evidence to support the claim that people do better on the second test? A. No B. Yes (d) Now use a two sided hypothesis to construct a 95% confidence interval for the mean of the differences. Again, use (Test A - Test B) Use 3 digits after the decimal. -6.488377559 << -4.7548332
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