High School Competency TestA mandatory competency test for

Chapter 6, Problem 26E

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QUESTION:

High School Competency Test A mandatory competency test for high school sophomores has a normal distribution with a mean of 400 and a standard deviation of 100.

\(a\). The top 3% of students receive $500. What is the minimum score you would need to receive this award?

\(b\). The bottom 1.5 % of students must go to summer school. What is the minimum score you would need to stay out of this group?

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QUESTION:

High School Competency Test A mandatory competency test for high school sophomores has a normal distribution with a mean of 400 and a standard deviation of 100.

\(a\). The top 3% of students receive $500. What is the minimum score you would need to receive this award?

\(b\). The bottom 1.5 % of students must go to summer school. What is the minimum score you would need to stay out of this group?

ANSWER:

Step 1 of 3

(a)

A test for high school sophomores has a normal distribution with a mean of \(400\) and a standard deviation of \(100\) .

We are asked to find the minimum score you would need to receive this award if the top \(3 \%\) of students receive \(\$ 500\).

Assume the variable is normally distributed.

 

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