The grade point averages for 10 randomly selected junior college students are listed below. Assume the grade point averages are
The grade point averages for 10 randomly selected junior college students are listed below. Assume the grade point averages are
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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please round the answer to thousandth place. the other person did hundredths so It was incorrect
![**Understanding Confidence Intervals for Grade Point Averages**
In this educational resource, we explore the concept of confidence intervals through a practical example involving grade point averages (GPAs).
**Scenario:**
The GPAs for 10 randomly selected junior college students are as follows:
2.0, 3.2, 1.8, 2.9, 0.9, 4.0, 3.3, 2.9, 3.6, 0.8.
**Objective:**
Our aim is to find a 98% confidence interval for the true mean GPA. It is given that the GPAs are normally distributed. The answers should be rounded to the thousandths place.
**Procedure:**
- *Data Listing:*
The GPAs are: 2.0, 3.2, 1.8, 2.9, 0.9, 4.0, 3.3, 2.9, 3.6, 0.8.
- *Calculations:*
- Calculate the sample mean of the data.
- Determine the standard deviation.
- Use the appropriate z or t distribution (since sample size is less than 30, a t-distribution might be more suitable).
- Find the critical value corresponding to the 98% confidence level.
- Calculate the margin of error.
- Determine the lower and upper limits of the confidence interval.
Once these steps are completed, the lower and upper bounds of the 98% confidence interval can be filled in the placeholders provided:
- Lower = [calculated value]
- Upper = [calculated value]
By following these steps, students can gain a deeper understanding of how to find and interpret confidence intervals in statistical analysis.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F2f91f0ec-e8b8-45b8-8365-57dfac5940bc%2Ff9d9ac82-5c04-4b10-aeaf-045e76cb6ec9%2Fqq491x8_processed.png&w=3840&q=75)
Transcribed Image Text:**Understanding Confidence Intervals for Grade Point Averages**
In this educational resource, we explore the concept of confidence intervals through a practical example involving grade point averages (GPAs).
**Scenario:**
The GPAs for 10 randomly selected junior college students are as follows:
2.0, 3.2, 1.8, 2.9, 0.9, 4.0, 3.3, 2.9, 3.6, 0.8.
**Objective:**
Our aim is to find a 98% confidence interval for the true mean GPA. It is given that the GPAs are normally distributed. The answers should be rounded to the thousandths place.
**Procedure:**
- *Data Listing:*
The GPAs are: 2.0, 3.2, 1.8, 2.9, 0.9, 4.0, 3.3, 2.9, 3.6, 0.8.
- *Calculations:*
- Calculate the sample mean of the data.
- Determine the standard deviation.
- Use the appropriate z or t distribution (since sample size is less than 30, a t-distribution might be more suitable).
- Find the critical value corresponding to the 98% confidence level.
- Calculate the margin of error.
- Determine the lower and upper limits of the confidence interval.
Once these steps are completed, the lower and upper bounds of the 98% confidence interval can be filled in the placeholders provided:
- Lower = [calculated value]
- Upper = [calculated value]
By following these steps, students can gain a deeper understanding of how to find and interpret confidence intervals in statistical analysis.
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