The scores on a psychology exam were normally distributed with a mean of 57 and a...
The scores on a psychology exam were normally distributed with a mean of 57 and a standard deviation of 8. A failing grade on the exam was anything 2 or more standard deviations below the mean. What was the cutoff for a failing score? Approximately what percentage of the students failed? The cutoff for a failing score was______? (Simplify your answer)
Homework Answers
Sol:
The cutoff for a failing score was=mean-2*sd
=57-2*8
=57-16
=41
P(X<=41)
P(Z<=41-57/8)
P(Z<-2)
=1-P(Z<2)
=1-0.9772
=0.0228
=0.0228*100
=2.28%
Approximately 2.28 percentage of the students failed
ANSWERS:
The cutoff for a failing score=41
Approximately 2.28 percentage of the students failed
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