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.

Consider (Test A - Test B). Use a 0.050.05 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. Matched Pairs
C. Two Sample z

(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 95% confidence interval for the mean of the differences. Again, use (Test A - Test B).
___ <<___

Person A B C D E F G H I J Test A 120 93 112 86 118 92 77 104 98 103 Test B 123 91 116 88 116 94 78 106 99 101

Explanation / Answer

Alternative Hypothesis:
µ1< µ2

T TEST

Test Statistic, t: -0.1434
Critical t:        -1.734105
P-Value:           0.4438

p value > alpha ( failed to reject null hypothesis)

Is there sufficient evidence to support the claim that people do better on the second test? (NO)

Degrees of freedom: 17.9918

95% Confidence interval:
-14.08353 < µ1-µ2 < 12.28353

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