Ten randomly selected people took an IQ test A, and next day they took a very si

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.

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.)

(c) The critical value is what?


2. Construct a 99 % confidence interval for the mean of the differences. Again, use (Test A - Test B).
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Person A B C D E F G H I J Test A 93 97 100 126 111 78 84 106 92 119 Test B 93 99 101 125 109 81 86 112 89 123

Explanation / Answer

The Output will be

a) Since p value of 0.1028 is greater than 0.01 level, we failed to reject the null hypothesis and there is insufficient evidence to accept the claim

c) The Critical is -2.8214

Q2) Margin of error = (2.8214*2.780887)/Sqrt(10) = 2.48115

99% Interval

(-1.2-2.48115, -1.2+2.48115)

=(-3.68115, 1.28115)

t-Test: Paired Two Sample for Means Variable 1 Variable 2 Mean 100.6 101.8 Variance 228.0444444 230.6222222 Observations 10 10 Pearson Correlation 0.983155062 Hypothesized Mean Difference 0 df 9 t Stat -1.36457648 P(T<=t) one-tail 0.102763958 t Critical one-tail 2.821437925 P(T<=t) two-tail 0.205527915 t Critical two-tail 3.249835542

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