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Everyone who scores in the top 30% of the distribution gets a certificate. What is the lowest score (X) someone can get and still earn a certificate?

01 / 10 / 2021 Assignment

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A group of students at a school takes a history test.
The distribution is normal with a mean of 25, and a standard deviation of
4.

a. Everyone who scores
in the top 30% of the distribution gets a certificate. What is the lowest score
(X) someone can get and still earn a certificate?

b. The top 5% of the
scores get to compete in a statewide history contest.

What is the lowest score (X) someone can
get and still go onto compete with the rest of the state?



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