Ten randomly selected people took an IQ test A, and the next day they took a very similar IQ test B. Their scores are shown in the table below. Person Test A Test B A 108 109 B 114 115 C 127 127 D 110 115 E 101 105 F 77 75 G 99 101 H 96 100 I 82 85 J 89 91 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. No B. Yes
Added by Thomas E.
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Step 1: Calculate the mean and standard deviation of the differences between Test A and Test B scores. Show more…
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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 102 85 120 109 119 94 75 107 98 88 Test B 102 85 120 110 115 94 76 113 100 88 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. Two Sample t B. Two Sample z 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. No B. Yes 2. Construct a 99% confidence interval for the mean of the differences. Again, use (Test A - Test B). ………….< u <…………..
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Ten randomly selected people took an IQ test A, and the next day they took a very similar IQ test B. Their scores are shown in the table below. Person Test A Test B A 102 101 B 107 108 C 88 91 D 109 112 E 77 78 F 96 100 G 99 102 H 117 119 I 83 84 J 128 130 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. (a) What test method should be used? A. Two Sample t 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. No B. Yes 2. Construct a 95% confidence interval for the mean of the differences. Again, use (Test A - Test B). <μ<
16. An IQ test was given to a simple random sample of 75 students at a certain college. The sample mean score was 105.2. Scores on this test are known to have a standard deviation of σ = 10. It is desired to construct a 90% confidence interval for the mean IQ score of students at this college. What is the point estimate? b. Find the critical value. Find the standard error: d. Find the margin of error: Construct the 90% confidence interval. Is it likely that the population mean μ is greater than 100? Explain.
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