Consider a hypothetical experiment that is sampling data from two distributions,

Question

Consider a hypothetical experiment that is sampling data from two distributions, one for each level in a simple experiment with one IV and 2 levels. Assume that the variances of each distribution are identical. What happens to the likelihood of observing a significant difference (p<.05) as the means of the distributions become more different from one another?

(a) the p-value will not be changed

(b) the p-value will tend to decrease

(c) the p-value will tend to increase

(d) the p-value will fluctuate randomly about the .05 value

Explanation / Answer

The answer to above question is (d) - The p value will randomly fluctuate about the 0.05 value .

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