Ten randomly selected people took an IQ test A, and next day they took a very si
ID: 3040334 • Letter: T
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.
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. Assume differences are normal. (Note: You may wish to use software.)
(a) The test statistic is (at least 2 digits after the decimal)
(b) The critical value is (at least 3 digits after the decimal)
(c) Is there sufficient evidence to support the claim that people do better on the second test?
A. No
B. Yes
(d) Construct a 99% confidence interval for the mean of the differences. Again, use (Test A - Test B) Use 3 digits after the decimal.
Should I run the paired t test ?
Please do not round up your answers
Person A B C D E F G H I J Test A 111 80 89 123 116 104 95 81 96 106 Test B 110 79 87 123 115 104 96 82 95 110Explanation / Answer
(a) The test statistic is (at least 2 digits after the decimal)
= 0
(b) The critical value is (at least 3 digits after the decimal)
= -2.82143
(c) Is there sufficient evidence to support the claim that people do better on the second test?
A. No
B. Yes
No. because p-value = 0.5 > 0.01
(d) Construct a 99% confidence interval for the mean of the differences. Again, use (Test A - Test B) Use 3 digits after the decimal.
99% CI for mean difference: (-1.747, 1.747)
Should I run the paired t test ?
yes . because sample in test A and B are same
please rate
t-Test: Paired Two Sample for Means A B Mean 100.1 100.1 Variance 208.9888889 216.1 Observations 10 10 Pearson Correlation 0.993343036 Hypothesized Mean Difference 0 df 9 t Stat 0 P(T<=t) one-tail 0.5 t Critical one-tail 2.821437925 P(T<=t) two-tail 1 t Critical two-tail 3.249835542Related Questions
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