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

34. From above, now assume that the mean difference between the distributions is constant (and that there is a difference). What happens to the likelihood of observing a significant difference (p<.05) as the variances of the distributions become increasingly large?

(a) the p-value will tend to decrease

(b) the p-value will tend to increase

(c) the p-value will not be changed

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

Explanation / Answer

33. The p value will decrease, thereby increasing the likelihood of obtaining a significant difference between the scores.

34. The p value is increase, thereby increasing the likelihood of obtaining a non-significant difference between the scores.

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