
MATLAB: An Introduction with Applications
6th Edition
ISBN: 9781119256830
Author: Amos Gilat
Publisher: John Wiley & Sons Inc
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![**Title: Understanding Undergraduate GPAs Through Normal Distribution**
**Description:**
The undergraduate grade point averages (UGPA) of students taking an admissions test in a recent year can be approximated by a normal distribution, as shown in the figure.
**Questions:**
(a) What is the minimum UGPA that would still place a student in the top 5% of UGPAs?
(b) Between what two values does the middle 50% of the UGPAs lie?
**Graph Explanation:**
The graph is a normal distribution curve representing the UGPAs. Key details are:
- **Mean (μ):** 3.32
- **Standard Deviation (σ):** 0.21
- **X-axis:** Represents the grade point average.
- The graph shows a symmetrical bell curve centered at a mean UGPA of 3.32.
**Additional Information:**
(a) The minimum UGPA that would still place a student in the top 5% of UGPAs is [box for answer].
**Note to Students:**
Use this information to understand how GPA distributions can influence admissions outcomes and to calculate critical cutoff points using statistical methods.](https://content.bartleby.com/qna-images/question/e4e1d665-36e2-4178-b2da-c041c14f10da/ea993f42-4e9c-483d-8df4-95c67f0753b7/lmr9hg9_thumbnail.png)
Transcribed Image Text:**Title: Understanding Undergraduate GPAs Through Normal Distribution**
**Description:**
The undergraduate grade point averages (UGPA) of students taking an admissions test in a recent year can be approximated by a normal distribution, as shown in the figure.
**Questions:**
(a) What is the minimum UGPA that would still place a student in the top 5% of UGPAs?
(b) Between what two values does the middle 50% of the UGPAs lie?
**Graph Explanation:**
The graph is a normal distribution curve representing the UGPAs. Key details are:
- **Mean (μ):** 3.32
- **Standard Deviation (σ):** 0.21
- **X-axis:** Represents the grade point average.
- The graph shows a symmetrical bell curve centered at a mean UGPA of 3.32.
**Additional Information:**
(a) The minimum UGPA that would still place a student in the top 5% of UGPAs is [box for answer].
**Note to Students:**
Use this information to understand how GPA distributions can influence admissions outcomes and to calculate critical cutoff points using statistical methods.
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