The scores on the Accuplacer test and High School GPAS are normall The Accuplacer test had a mean of 35 and a standard deviation of 9 High School GPAS had a mean of 2.8 and a standard deviation of 0.2. What high school GPA do you need to equal a score of 56 on the Accu Give answer to two decimal placés. Check Answer
The scores on the Accuplacer test and High School GPAS are normall The Accuplacer test had a mean of 35 and a standard deviation of 9 High School GPAS had a mean of 2.8 and a standard deviation of 0.2. What high school GPA do you need to equal a score of 56 on the Accu Give answer to two decimal placés. Check Answer
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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Question
![**Educational Content: Understanding Distribution and Score Conversion**
The scores on the Accuplacer test and High School GPAs are normally distributed.
- **Accuplacer Test:**
- Mean (average): 35
- Standard Deviation: 9
- **High School GPAs:**
- Mean (average): 2.8
- Standard Deviation: 0.2
**Problem Statement:**
What high school GPA do you need to equal a score of 56 on the Accuplacer test? Please provide your answer to two decimal places.
[Input Box]
[Check Answer Button]
---
Understanding Normal Distribution:
1. **Mean**: The average of all data points.
2. **Standard Deviation**: A measure of the amount of variation or dispersion in a set of values.
3. Conversion between scores requires understanding how one value corresponds to another using Z-scores in standard normal distribution.
**Conversion Approach:**
1. Compute the Z-score for the Accuplacer score.
2. Use this Z-score to find the equivalent high school GPA.
This exercise helps in understanding statistical conversions using normal distribution properties.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fb7d38a77-fb89-41bb-b11f-d9b5f936a3ed%2Fc7487ceb-675f-4f1c-8ee3-ad8724165eac%2Fc9rfofm_processed.jpeg&w=3840&q=75)
Transcribed Image Text:**Educational Content: Understanding Distribution and Score Conversion**
The scores on the Accuplacer test and High School GPAs are normally distributed.
- **Accuplacer Test:**
- Mean (average): 35
- Standard Deviation: 9
- **High School GPAs:**
- Mean (average): 2.8
- Standard Deviation: 0.2
**Problem Statement:**
What high school GPA do you need to equal a score of 56 on the Accuplacer test? Please provide your answer to two decimal places.
[Input Box]
[Check Answer Button]
---
Understanding Normal Distribution:
1. **Mean**: The average of all data points.
2. **Standard Deviation**: A measure of the amount of variation or dispersion in a set of values.
3. Conversion between scores requires understanding how one value corresponds to another using Z-scores in standard normal distribution.
**Conversion Approach:**
1. Compute the Z-score for the Accuplacer score.
2. Use this Z-score to find the equivalent high school GPA.
This exercise helps in understanding statistical conversions using normal distribution properties.
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