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 2.762.76. ​(Round to two decimal places as​ needed.) ​(b) The middle 70​% of scores lies between enter your response here on the low end and enter your response here on the high end. ​(Round to two decimal places as​ needed.)

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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
2.762.76.
​(Round to two decimal places as​ needed.)
​(b) The middle
70​%
of scores lies between
enter your response here
on the low end and
enter your response here
on the high end.
​(Round to two decimal places as​ needed.)
Title: Do Homework - Homework (Section 5.3)

Warning: Using the browser's print will lead to an undesirable print-out. Use the Print item from the "Question Help" menu to get a better print-out.

**Diagram Explanation:**

The diagram is a bell-shaped normal distribution curve representing grade point averages (GPAs). Key details of the graph include:

- The x-axis is labeled "Grade point average."
- The mean (μ) of the distribution is at 3.30.
- The standard deviation (σ) is 0.16.
- The distribution spans from approximately 2.6 to above 4.0 along the x-axis.
- Vertical reference lines are drawn at key points, such as the mean and typical standard deviations.

**End of Content**

A button labeled "OK" appears below the graph to proceed or acknowledge the information.

**Source:** 
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Transcribed Image Text:Title: Do Homework - Homework (Section 5.3) Warning: Using the browser's print will lead to an undesirable print-out. Use the Print item from the "Question Help" menu to get a better print-out. **Diagram Explanation:** The diagram is a bell-shaped normal distribution curve representing grade point averages (GPAs). Key details of the graph include: - The x-axis is labeled "Grade point average." - The mean (μ) of the distribution is at 3.30. - The standard deviation (σ) is 0.16. - The distribution spans from approximately 2.6 to above 4.0 along the x-axis. - Vertical reference lines are drawn at key points, such as the mean and typical standard deviations. **End of Content** A button labeled "OK" appears below the graph to proceed or acknowledge the information. **Source:** [https://www.mathxl.com/Student/PlayerHomework.aspx?homeworkId=614984450&questionId=16&flushed=false&cid=6713727&back=DoAssignment]
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