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The scores on a mandatory competency test for high school sophomores in a large state are...

The scores on a mandatory competency test for high school sophomores in a large state are normally distributed with a mean of 400 and a standard deviation of 100.

(a) Students who have scores below the 5th percentile must attend summer school. What is the 5th percentile of the test scores?

(b) Students who score above 630 on the test receive a scholarship. What percentage of the high school sophomores in the state receive the scholarship?

(c) A student has a test score of 519 points. What is the z-score of this student’s test score?

Math   Statistics-And-Probability   
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