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11/28/21, 6:11 PM Player Using the browser's print will lead to an undesirable print-out. Use the Print item from the "Question Help" menu to get a bette -3.7 3.7 Score OK

11/28/21, 6:11 PM Player Using the browser's print will lead to an undesirable print-out. Use the Print item from the "Question Help" menu to get a bette -3.7 3.7 Score OK

MATLAB: An Introduction with Applications
MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
Section: Chapter Questions
Problem 1P
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The test scores for the analytical writing section of a particular standardized test can be approximated by a normal​ distribution, as shown in the figure.
 
​(a) What is the maximum score that can be in the bottom
15​%
of​ scores?
​(b) Between what two values does the middle
70​%
of scores​ lie?
 
 
 
 
 
 
 
3.761.4Score
μ=3.7
σ=0.91
x
 
  •  
  •  
  •  
A normal curve labeled mu = 3.7 and sigma = 0.91 is over a horizontal x-axis labeled score from 1.4 to 6 in increments of 1.15 and is centered on 3.7.
 
 
 
​(a) The maximum score that can be in the bottom
15​%
is
enter your response here.
​(Round to two decimal places as​ needed.)
**Transcription for Educational Website:** --- **Notice:** Using the browser's print function will lead to an undesirable print-out. Use the Print item from the "Question Help" menu to obtain a better print-out experience. --- **Graph Description:** The graph shown is a normal distribution curve. Here's a detailed explanation of the elements within the graph: - **Horizontal Axis (x-axis):** Labeled as "Score." - **Mean (\( \mu \)):** The peak of the curve is at \( \mu = 3.7 \), indicating the average score. - **Standard Deviation (\( \sigma \)):** Given as \( \sigma = 0.91 \), it reflects the spread of the distribution. - **Range on x-axis:** Values range approximately from 1.4 to 6, encompassing approximately three standard deviations on either side of the mean. - **Curve Shape:** The bell-shaped curve is symmetric around the mean, illustrating the properties of a normal distribution. --- **Action Required:** Click "OK" to proceed. --- For more in-depth learning about normal distribution and its applications, please explore our supplementary educational resources.
Transcribed Image Text:**Transcription for Educational Website:** --- **Notice:** Using the browser's print function will lead to an undesirable print-out. Use the Print item from the "Question Help" menu to obtain a better print-out experience. --- **Graph Description:** The graph shown is a normal distribution curve. Here's a detailed explanation of the elements within the graph: - **Horizontal Axis (x-axis):** Labeled as "Score." - **Mean (\( \mu \)):** The peak of the curve is at \( \mu = 3.7 \), indicating the average score. - **Standard Deviation (\( \sigma \)):** Given as \( \sigma = 0.91 \), it reflects the spread of the distribution. - **Range on x-axis:** Values range approximately from 1.4 to 6, encompassing approximately three standard deviations on either side of the mean. - **Curve Shape:** The bell-shaped curve is symmetric around the mean, illustrating the properties of a normal distribution. --- **Action Required:** Click "OK" to proceed. --- For more in-depth learning about normal distribution and its applications, please explore our supplementary educational resources.
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