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 0.05 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. 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. 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 96 129 111 83 92 74 104 96 116 104 Test B 99 132 114 83 90 77 106 96 118 106

Explanation / Answer

1)
(a) Test method to be used is Two sample t test

(b) from the given data we have

b)

(C) critical value

(d) As test statstics does not lie in the rejection region, we fail to reject the null hypothesis.

There is no sufficient evidence to support the claim that people do better on the second test.

2)

Given Data Sample 1 Sample 2 Name mean 100.5 102.1 Sample size 10 10 Std. dev. 16.02 16.69

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