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 5% of scores? (b) Between what two values does the middie 90% of scores lie? (a) The maximum score that can be in the bottom 5% is
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 5% of scores? (b) Between what two values does the middie 90% of scores lie? (a) The maximum score that can be in the bottom 5% is
MATLAB: An Introduction with Applications
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ISBN:9781119256830
Author:Amos Gilat
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Chapter1: Starting With Matlab
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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 5% of scores?
(b) Between what two values does the middle 90% of scores lie?
---
(a) The maximum score that can be in the bottom 5% is [ ].
(Round to two decimal places as needed.)
(b) The middle 90% of scores lies between [ ] on the low end and [ ] on the high end.
(Round to two decimal places as needed.)
---
**Graph Description:**
The graph displayed is a normal distribution curve with a mean (μ) of 3.4 and a standard deviation (σ) of 0.94. The x-axis is labeled "Score," ranging approximately from 0.8 to 6. Vertical lines are drawn around the peak of the curve, aligning with the mean, and likely indicate standard deviations from the mean.
- The curve is symmetrical, characteristic of a normal distribution.
- The shading in different segments may correspond to specific percentile ranges relevant to the questions.
Use this diagram to interpret and solve the given statistical queries related to the test score distributions.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F84552427-9a89-4a6a-8bce-a48127de447f%2F5e5da7ff-b52d-41a5-afc9-846fdc000156%2Ffy02tjk_processed.png&w=3840&q=75)
Transcribed Image Text: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 5% of scores?
(b) Between what two values does the middle 90% of scores lie?
---
(a) The maximum score that can be in the bottom 5% is [ ].
(Round to two decimal places as needed.)
(b) The middle 90% of scores lies between [ ] on the low end and [ ] on the high end.
(Round to two decimal places as needed.)
---
**Graph Description:**
The graph displayed is a normal distribution curve with a mean (μ) of 3.4 and a standard deviation (σ) of 0.94. The x-axis is labeled "Score," ranging approximately from 0.8 to 6. Vertical lines are drawn around the peak of the curve, aligning with the mean, and likely indicate standard deviations from the mean.
- The curve is symmetrical, characteristic of a normal distribution.
- The shading in different segments may correspond to specific percentile ranges relevant to the questions.
Use this diagram to interpret and solve the given statistical queries related to the test score distributions.
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