A standardized college admissions test has a population mean of 65, a population standard deviation of...

A standardized college admissions test has a population mean of 65, a population standard deviation of 10 points, and is normally distributed. If a student scores a 73 on the test, above what percentage of the test-takers does her score fall? Be sure to show your calculations.

Expert Solution

Ans. We have given the information for population mean , also the population standard deviation and the population is normally distributed. So now if a we randomly select a student with the score of then we need to find the percentage of population of students who has the score below .

The formula for to calculate the Z-score is:

So, the Z-score is calculated as

Now, we have to find the percentage of population below this Z-score-

In other words, the percentage of population below the student whose score is is 78.81%.

We also say that the student who score is fall above 78.81% of population.

orchestra answered 1 year ago

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