The scores on a psychology exam were normally distributed with a mean of 56 and a standard deviation of 4. 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 49 (Simplify your answer.) Approximately 2.28 percent of the students failed. (Round to one decimal place as needed.)

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter10: Statistics
Section10.3: Measures Of Spread
Problem 26PFA
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The scores on a psychology exam were normally distributed with a mean of 56 and a standard deviation of 4. 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 49
(Simplify your answer.)
Approximately 2.28 percent of the students failed.
(Round to one decimal place as needed.)
Transcribed Image Text:The scores on a psychology exam were normally distributed with a mean of 56 and a standard deviation of 4. 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 49 (Simplify your answer.) Approximately 2.28 percent of the students failed. (Round to one decimal place as needed.)
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