na random sample of twelve people, the mean driving distance to Work Was 24. ormally distributed and use the t-distribution to find the margin of error and construct a 90% confidence interval for the population mean u. Interpret the results. miles .... dentify the margin of error. Ro s needed.) miles miles per hour square miles
na random sample of twelve people, the mean driving distance to Work Was 24. ormally distributed and use the t-distribution to find the margin of error and construct a 90% confidence interval for the population mean u. Interpret the results. miles .... dentify the margin of error. Ro s needed.) miles miles per hour square miles
A First Course in Probability (10th Edition)
10th Edition
ISBN:9780134753119
Author:Sheldon Ross
Publisher:Sheldon Ross
Chapter1: Combinatorial Analysis
Section: Chapter Questions
Problem 1.1P: a. How many different 7-place license plates are possible if the first 2 places are for letters and...
Related questions
Question
Answer these question
![The text on the screen is as follows:
"In a random sample of twelve people, the mean driving distance to work was 24.7 miles and the standard deviation was 5.5 miles. Assume the population is normally distributed and use the t-distribution to find the margin of error and construct a 90% confidence interval for the population mean μ. Interpret the results.
Identify the margin of error.
[Dropdown Menu]
(Round to three decimal places as needed.)
Options:
- miles
- miles per hour
- square miles
Help Me Solve This
View an Example
Get More Help
Clear All
Check Answer"
There are no graphs or diagrams in the image.
Interpretation and guidance on the educational content:
1. **Problem Context**: The problem involves statistical concepts related to the calculation of a confidence interval for a mean. In this case, the specifics are how far people drive to work on average within a small sample group.
2. **Key Points**:
- The mean driving distance is provided as 24.7 miles.
- The standard deviation is 5.5 miles.
- A sample size of twelve people is considered.
3. **Objective**:
- Use the t-distribution to calculate the margin of error for the sample mean.
- Construct a 90% confidence interval around that mean which allows interpretation of the range in which the population mean is likely to lie.
4. **Instructions**:
- Utilize the given data to calculate the margin of error using statistical formulas involving the t-distribution.
- Use this margin to establish the confidence interval.
5. **Support Options**:
- Features like “Help Me Solve This,” “View an Example,” and “Get More Help” suggest that users have access to guided assistance and examples.
6. **Precision Requirement**:
- Results are to be rounded to three decimal places, ensuring accuracy in reporting.
By completing the calculations, students reinforce their understanding of confidence intervals and the interpretations of statistical data in real-life scenarios.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fa7226e99-cda6-474c-a507-35a166b04cf3%2F5a8ff7a0-94c0-481a-b2e6-91e798e94d23%2Fx0m3abc_processed.jpeg&w=3840&q=75)
Transcribed Image Text:The text on the screen is as follows:
"In a random sample of twelve people, the mean driving distance to work was 24.7 miles and the standard deviation was 5.5 miles. Assume the population is normally distributed and use the t-distribution to find the margin of error and construct a 90% confidence interval for the population mean μ. Interpret the results.
Identify the margin of error.
[Dropdown Menu]
(Round to three decimal places as needed.)
Options:
- miles
- miles per hour
- square miles
Help Me Solve This
View an Example
Get More Help
Clear All
Check Answer"
There are no graphs or diagrams in the image.
Interpretation and guidance on the educational content:
1. **Problem Context**: The problem involves statistical concepts related to the calculation of a confidence interval for a mean. In this case, the specifics are how far people drive to work on average within a small sample group.
2. **Key Points**:
- The mean driving distance is provided as 24.7 miles.
- The standard deviation is 5.5 miles.
- A sample size of twelve people is considered.
3. **Objective**:
- Use the t-distribution to calculate the margin of error for the sample mean.
- Construct a 90% confidence interval around that mean which allows interpretation of the range in which the population mean is likely to lie.
4. **Instructions**:
- Utilize the given data to calculate the margin of error using statistical formulas involving the t-distribution.
- Use this margin to establish the confidence interval.
5. **Support Options**:
- Features like “Help Me Solve This,” “View an Example,” and “Get More Help” suggest that users have access to guided assistance and examples.
6. **Precision Requirement**:
- Results are to be rounded to three decimal places, ensuring accuracy in reporting.
By completing the calculations, students reinforce their understanding of confidence intervals and the interpretations of statistical data in real-life scenarios.
Expert Solution
Step 1
Given
Xbar=24.7
S=5.5
Step by step
Solved in 3 steps with 2 images
Recommended textbooks for you
A First Course in Probability (10th Edition)
Probability
ISBN:
9780134753119
Author:
Sheldon Ross
Publisher:
PEARSON
A First Course in Probability (10th Edition)
Probability
ISBN:
9780134753119
Author:
Sheldon Ross
Publisher:
PEARSON