Pregunta
The scores on a psychology exam were normally distributed with a
of 62 and a standard deviation of 8 . A failing grade on the exam wa
anything 2 or more standard deviations below the mean. What was
cutoff for a failing score? Approximately what percentage of the
students failed?
The cutoff for a failing score was 46 .
(Simplify your answer.)
Approximately
(Round to one decimal place as needed.)
of 62 and a standard deviation of 8 . A failing grade on the exam wa
anything 2 or more standard deviations below the mean. What was
cutoff for a failing score? Approximately what percentage of the
students failed?
The cutoff for a failing score was 46 .
(Simplify your answer.)
Approximately
(Round to one decimal place as needed.)
Ask by Beck Collins. in the United States
Jan 20,2025
Solución de inteligencia artificial de Upstudy
Respuesta verificada por el tutor
Responder
The cutoff for a failing score is 46. Approximately 2.3% of the students failed.
Solución
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Como
The Deep Dive
To find the cutoff for a failing score, you’ll subtract 2 standard deviations from the mean. Given a mean of 62 and a standard deviation of 8:
Cutoff = Mean - (2 × Standard Deviation) = 62 - (2 × 8) = 62 - 16 = 46.
Now, regarding the percentage of students who failed, you can refer to the properties of a normal distribution. About 95% of the scores should fall within two standard deviations of the mean, which means approximately 5% of students scored below 46, marking them as failing.
So, the percentage of students who failed is approximately 5.0%.
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