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Assume that numeric course grades at a certain college are approximately normall

ID: 3205260 • Letter: A

Question

Assume that numeric course grades at a certain college are approximately normally distributed. In terms of standard deviations above the mean of a normal distribution, the cutoff score for the top 20 percent of course grades would lie in which of the following intervals?

a. Between 0 standard deviation and 0.5 standard deviation b.

b. between 0.5 standard deviation and 1 standard deviation

c. between 1 standard deviation and 1.5 standard deviation

d. between 1.5 standard deviation and 2 standard deviation

Explanation / Answer

Solution:

Option B is correct.

From Z-tables, we can find the Z-score with p > 0.20 is 0.84.This means that it is 0.84 standard deviation above the mean. Therefore, it would be between 0.5 standard deviation and 1 standard deviation.