   # Assume that the test scores from a college admissions test are normally distributed, with a mean of 450 and a standard deviation of 100. a. What percentage of the people taking the test score between 400 and 500? b. Suppose someone receives a score of 630. What percentage of the people taking the test score better? What percentage score worse? c. If a particular university will not admit anyone scoring below 480, what percentage of the persons taking the test would be acceptable to the university? 13th Edition
Anderson
Publisher: CENGAGE L
ISBN: 9781305881884

#### Solutions

Chapter
Section 13th Edition
Anderson
Publisher: CENGAGE L
ISBN: 9781305881884
Chapter 6, Problem 46SE
Textbook Problem
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## Assume that the test scores from a college admissions test are normally distributed, with a mean of 450 and a standard deviation of 100. a. What percentage of the people taking the test score between 400 and 500? b. Suppose someone receives a score of 630. What percentage of the people taking the test score better? What percentage score worse? c. If a particular university will not admit anyone scoring below 480, what percentage of the persons taking the test would be acceptable to the university?

a.

To determine

Find the percentage of the scores that are in between 400 and 500.

### Explanation of Solution

Calculation:

The college admission scores are distributed normally with mean 450 and standard deviation 100.

Software Procedure:

Step-by-step procedure to obtain probability by using MINITAB software:

• Choose Graph > Probability Distribution Plot choose View Probability > OK.
• Enter the Mean as 450 and Standard deviation as 100.
• From Distribution, choose ‘Normal’ distribution.
• Click the Shaded Area tab...

b.

To determine

Find the percentage of the scores that are better at the score of 630 and the percentage of the scores that are worse at the score of 630.

c.

To determine

Find the percentage of the persons that are acceptable to the university.

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