Question

A recent study was done comparing the IQ scores of women and men. In a sample of 22 women, the average IQ score was 100.6 with a sample standard deviation of 7.3, and for a sample of 13 men, the average IQ score was 101.3 with a sample standard deviation of 9.8. Use a 0.01 level of significance to test the claim that the average IQ score for women and men is the same.

Answer 1

The test hypothesis is

This is a two-sided test because the alternative hypothesis is formulated to detect differences from the hypothesized difference in mean values on either side.
Now, the value of test static can be found out by following formula:

Degrees of freedom on the t-test statistic are n1 + n2 - 2 = 22 + 13 - 2 = 33
For . Since , we fail to reject the null hypothesis H0 at .
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