What test scores are significantly low? Select the correct answer below and fill in the answer box(es) to complete your choice. (Round to one decimal place as needed.) OA. Test scores that are greater than OB. Test scores that are between OC. Test scores that are less than and (Round to one decimal place as needed. Use ascending order.) (Round to one decimal place as needed.) Select the correct answer below and fill in the answer box(es) to complete your choice. What test scores are significantly high? OA. Test scores that are less than OB. Test scores that are greater than OC. Test scores that are between (Round to one decimal place as needed.) (Round to one decimal place as needed.) and (Round to one decimal place as needed. Use ascending order.)
What test scores are significantly low? Select the correct answer below and fill in the answer box(es) to complete your choice. (Round to one decimal place as needed.) OA. Test scores that are greater than OB. Test scores that are between OC. Test scores that are less than and (Round to one decimal place as needed. Use ascending order.) (Round to one decimal place as needed.) Select the correct answer below and fill in the answer box(es) to complete your choice. What test scores are significantly high? OA. Test scores that are less than OB. Test scores that are greater than OC. Test scores that are between (Round to one decimal place as needed.) (Round to one decimal place as needed.) and (Round to one decimal place as needed. Use ascending order.)
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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![### Identifying Significantly Low and High Test Scores Based on Z-Scores
#### Instructions:
Consider a value to be significantly low if its z score is less than or equal to -2, or consider a value to be significantly high if its z score is greater than or equal to 2.
#### Problem Statement:
A test is used to assess readiness for college. In a recent year, the mean test score was 20.2 and the standard deviation was 4.9. Identify the test scores that are significantly low or significantly high.
#### Questions:
1. **What test scores are significantly low? Select the correct answer below and fill in the answer box(es) to complete your choice.**
- A. Test scores that are greater than [ ] (Round to one decimal place as needed.)
- B. Test scores that are between [ ] and [ ] (Round to one decimal place as needed. Use ascending order.)
- C. Test scores that are less than [ ] (Round to one decimal place as needed.)
2. **What test scores are significantly high? Select the correct answer below and fill in the answer box(es) to complete your choice.**
- A. Test scores that are less than [ ] (Round to one decimal place as needed.)
- B. Test scores that are greater than [ ] (Round to one decimal place as needed.)
- C. Test scores that are between [ ] and [ ] (Round to one decimal place as needed. Use ascending order.)
To identify the test scores that are significantly low or high, you can use the following formula for the z-score:
\[ \text{z} = \frac{\text{X} - \mu}{\sigma} \]
Where:
- \( \text{X} \) is the test score.
- \( \mu \) is the mean test score.
- \( \sigma \) is the standard deviation.
For significantly low test scores (\( \text{z} \leq -2 \)):
\[ -2 = \frac{\text{X} - 20.2}{4.9} \]
Solving for \( \text{X} \):
\[ -2 \cdot 4.9 = \text{X} - 20.2 \]
\[ \text{X} - 20.2 = -9.8 \]
\[ \text](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fa058bb5e-e178-4408-8d52-426bc36636a3%2Fe7bede53-23d5-4294-876c-b23ea4ac6a57%2Fb4bkz09_processed.jpeg&w=3840&q=75)
Transcribed Image Text:### Identifying Significantly Low and High Test Scores Based on Z-Scores
#### Instructions:
Consider a value to be significantly low if its z score is less than or equal to -2, or consider a value to be significantly high if its z score is greater than or equal to 2.
#### Problem Statement:
A test is used to assess readiness for college. In a recent year, the mean test score was 20.2 and the standard deviation was 4.9. Identify the test scores that are significantly low or significantly high.
#### Questions:
1. **What test scores are significantly low? Select the correct answer below and fill in the answer box(es) to complete your choice.**
- A. Test scores that are greater than [ ] (Round to one decimal place as needed.)
- B. Test scores that are between [ ] and [ ] (Round to one decimal place as needed. Use ascending order.)
- C. Test scores that are less than [ ] (Round to one decimal place as needed.)
2. **What test scores are significantly high? Select the correct answer below and fill in the answer box(es) to complete your choice.**
- A. Test scores that are less than [ ] (Round to one decimal place as needed.)
- B. Test scores that are greater than [ ] (Round to one decimal place as needed.)
- C. Test scores that are between [ ] and [ ] (Round to one decimal place as needed. Use ascending order.)
To identify the test scores that are significantly low or high, you can use the following formula for the z-score:
\[ \text{z} = \frac{\text{X} - \mu}{\sigma} \]
Where:
- \( \text{X} \) is the test score.
- \( \mu \) is the mean test score.
- \( \sigma \) is the standard deviation.
For significantly low test scores (\( \text{z} \leq -2 \)):
\[ -2 = \frac{\text{X} - 20.2}{4.9} \]
Solving for \( \text{X} \):
\[ -2 \cdot 4.9 = \text{X} - 20.2 \]
\[ \text{X} - 20.2 = -9.8 \]
\[ \text
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