Suppose That Scores on a Test Are Normally Distributed with a Mean

question 73

Essay

Suppose that scores on a test are normally distributed with a mean of 80 and a standard deviation of 8. Read the two questions below. A. What is the 90th percentile? B. What percentage of students score less than 90? Explain the difference between the two questions. Describe how the method for solving A would differ from the the method for solving B. Be sure to include in your explanation a description of how the table of areas would be used in each case.

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Definitions:

Non-REM

Describes a type of sleep that is divided into stages, excluding the REM (Rapid Eye Movement) phase, characterized by deeper physical and mental rest.

REM Sleep

A sleep phase characterized by rapid eye movements, low muscle tone, and vivid dreams, considered important for emotional regulation and memory consolidation.

Heart Disease

A broad term for a range of diseases affecting the heart and blood vessels, often associated with atherosclerosis.

Sleep Deprivation

A condition resulting from insufficient sleep, which can impair cognitive function, emotional regulation, and physical health.