Scores on a Recent National Statistics Exam Were Normally Distributed

question 166

Short Answer

Scores on a recent national statistics exam were normally distributed with a mean of 80 and a standard deviation of 6.
a.What is the probability that a randomly selected exam will have a score of at least 71?
b.What percentage of exams will have scores between 89 and 92?
c.If the top 2.5% of test scores receive merit awards, what is the lowest score eligible for an award?
d.If there were 334 exams with scores of at least 89, how many students took the exam?

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Definitions:

Interracial Lynching

The act of murdering someone, typically by hanging, for an alleged offense with or without a legal trial, specifically where the victim and perpetrators are of different races.

Salient

Something that stands out conspicuously or is most noticeable or important in a particular context.

Scapegoat Theory

A theory that suggests that individuals or groups unfairly blame others for their own problems or failures, often as a means of diverting attention or responsibility away from themselves.

Outgroups

Groups of people that do not belong to one's own group, which is considered the "in-group", often leading to prejudice against them.