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.)
**Header:** 11/28/21, 7:09 PM - Player

**Text:** "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 depicts a normal distribution curve (bell curve) centered around a mean (\(\mu\)) of 3.7. The standard deviation (\(\sigma\)) is 0.91. The x-axis represents the score, with marked values at 1.4, 3.7, and 6. The peak of the curve is at the mean, 3.7, indicating the most likely score. The distribution is symmetrical around the mean. The graph visually represents how scores are spread around the mean, with the majority falling within one standard deviation.

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https://www.mathxl.com/Student/PlayerHomework.aspx?homeworkId=614984450&questionId=18&flushed=false&cld=6713727&back=DoAssignment...
Transcribed Image Text:**Header:** 11/28/21, 7:09 PM - Player **Text:** "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 depicts a normal distribution curve (bell curve) centered around a mean (\(\mu\)) of 3.7. The standard deviation (\(\sigma\)) is 0.91. The x-axis represents the score, with marked values at 1.4, 3.7, and 6. The peak of the curve is at the mean, 3.7, indicating the most likely score. The distribution is symmetrical around the mean. The graph visually represents how scores are spread around the mean, with the majority falling within one standard deviation. **Footer:** "OK" **URL:** https://www.mathxl.com/Student/PlayerHomework.aspx?homeworkId=614984450&questionId=18&flushed=false&cld=6713727&back=DoAssignment...
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