Statistics Solutions

(See Solution) Power curves for two-sample test. Below is a graph of three power curves as a function of , the true difference between the means in the two

Question: Power curves for two-sample test.

Below is a graph of three power curves as a function of , the true difference between the means in the two samples. The standard deviations of both populations are = 1. Hence, think of as being in standard deviation units. The curves are for 29, 9 and 4 degrees of freedom. Give a reason why the valley in the middle becomes increasingly steeper and narrower as the degrees of freedom increases.

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