MATLAB: An Introduction with Applications
MATLAB: An Introduction with Applications
6th Edition
ISBN: 9781119256830
Author: Amos Gilat
Publisher: John Wiley & Sons Inc
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The graph illustrates the distribution of test scores taken by College Algebra students. The maximum possible score on the test was 140, while the mean score was 77 and the standard deviation was 15.

The graph shows a bell curve, representing a normal distribution of test scores. Key points on the horizontal axis are labeled as follows: 
- 32
- 47
- 62
- 77 (mean)
- 92
- 107
- 122

**Distribution of Test Scores**

Use the "Empirical Rule," not a calculator or other technology. Do not round your answers.

1. What is the approximate percentage of students who scored between 62 and 77?

   [     ] %

2. What is the approximate percentage of students who scored between 47 and 107 on the test?

   [     ] %

3. What is the approximate percentage of students who scored between 62 and 92 on the test?

   [     ] %

4. What is the approximate percentage of students who scored higher than 107 on the test?

   [     ] %
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Transcribed Image Text:The graph illustrates the distribution of test scores taken by College Algebra students. The maximum possible score on the test was 140, while the mean score was 77 and the standard deviation was 15. The graph shows a bell curve, representing a normal distribution of test scores. Key points on the horizontal axis are labeled as follows: - 32 - 47 - 62 - 77 (mean) - 92 - 107 - 122 **Distribution of Test Scores** Use the "Empirical Rule," not a calculator or other technology. Do not round your answers. 1. What is the approximate percentage of students who scored between 62 and 77? [ ] % 2. What is the approximate percentage of students who scored between 47 and 107 on the test? [ ] % 3. What is the approximate percentage of students who scored between 62 and 92 on the test? [ ] % 4. What is the approximate percentage of students who scored higher than 107 on the test? [ ] %
Expert Solution
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Step 1

GIVEN DATA normal dustributionμ = 77σ = 15empirical rule: approximately 68-95-99.7% data fall within 1σ-2σ-3σ of μ.

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