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Is there evidence of sex discrimination in salary among teachers in Georgia? In a study conducted in the 1999 , the mean salary for male teachers was $\ 32,324$ and the mean salary for female teachers was $\ 34,992$ with a combined standard deviation of $\ 5,336$. Using information from the 1999 study, what size sample would be needed (with alpha $=.05$ ) for a new study of sex discrimination among teachers to have a $95 \%$ chance of detecting a mean difference in salaries if one exists in the population of GA teachers?
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Again, use the Maxwell and Delaney table to determine sample size here. Since there is previous evidence about the size of the difference that can be expected, we can estimate the effect size $\mathrm{d}$ as follows:
\begin{aligned} &\mathrm{d}=(\text { Mean } 1-\text { Mean2 }) / \mathrm{SD} \\ &\mathrm{d}=(\ 32,324-\ 34,992) / \ 5,336 \\ &\mathrm{~d}=\ 2,668 / \ 5,336 \\ &\mathrm{~d}=-.5 \end{aligned}
There are two groups, $\mathrm{d}=-.5$ (take the absolute value here $[.5]$ for use of their table), alpha $=.05$, and power $=.95$ (i.e., $95 \%$ chance of detecting a mean difference), so the tabled sample size is 105 for the two groups or a total sample of 210 teachers.
by Diamond (89,036 points)

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