Listed below are speeds (mi/h) measured from traffic on a busy highway. This simple random sample was obtained at 3:30 PM. on a weekday. Use the sample data to construct an 80% confidence interval estimate of the population standard deviation. 62 57 62 54 59 58 59 70 61 67 65 62 Click the icon to view the table of Chi-Square critical values. The confidence interval estimate is mi/h
Listed below are speeds (mi/h) measured from traffic on a busy highway. This simple random sample was obtained at 3:30 PM. on a weekday. Use the sample data to construct an 80% confidence interval estimate of the population standard deviation. 62 57 62 54 59 58 59 70 61 67 65 62 Click the icon to view the table of Chi-Square critical values. The confidence interval estimate is mi/h
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
![**Traffic Speed Analysis and Confidence Interval Estimation**
Listed below are speeds (in miles per hour) measured from traffic on a busy highway. This simple random sample was obtained at 3:30 PM on a weekday. Use the sample data to construct an 80% confidence interval estimate of the population standard deviation.
**Sample Speeds:**
- 65 mph
- 62 mph
- 62 mph
- 57 mph
- 62 mph
- 54 mph
- 59 mph
- 58 mph
- 59 mph
- 70 mph
- 61 mph
- 67 mph
**Instructions:**
- Click the icon to view the table of Chi-Square critical values.
**Objective:**
Calculate the confidence interval estimate for the standard deviation (\(\sigma\)).
**Solution Format:**
\[ \text{The confidence interval estimate is: } \_\_ \text{ mi/h} < \sigma < \_\_ \text{ mi/h} \]
(Round to one decimal place as needed.)
**Question:**
Does the confidence interval describe the standard deviation for all times during the week? Choose the correct answer below.
- **Option A:** No. The confidence interval is an estimate of the standard deviation of the population of speeds at 3:30 on a weekday, not other times.
- **Option B:** Yes. The confidence interval describes the standard deviation for all times during the week.
**Explanation:**
This exercise involves understanding how to calculate and interpret confidence intervals for the standard deviation of a population, based on sample data collected at a specific time.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F08058e54-a54e-4bc1-8a06-ec6f0818606b%2Fda063d2a-0bf3-4c3d-824f-7c905cb827d8%2Foep4u3k_processed.jpeg&w=3840&q=75)
Transcribed Image Text:**Traffic Speed Analysis and Confidence Interval Estimation**
Listed below are speeds (in miles per hour) measured from traffic on a busy highway. This simple random sample was obtained at 3:30 PM on a weekday. Use the sample data to construct an 80% confidence interval estimate of the population standard deviation.
**Sample Speeds:**
- 65 mph
- 62 mph
- 62 mph
- 57 mph
- 62 mph
- 54 mph
- 59 mph
- 58 mph
- 59 mph
- 70 mph
- 61 mph
- 67 mph
**Instructions:**
- Click the icon to view the table of Chi-Square critical values.
**Objective:**
Calculate the confidence interval estimate for the standard deviation (\(\sigma\)).
**Solution Format:**
\[ \text{The confidence interval estimate is: } \_\_ \text{ mi/h} < \sigma < \_\_ \text{ mi/h} \]
(Round to one decimal place as needed.)
**Question:**
Does the confidence interval describe the standard deviation for all times during the week? Choose the correct answer below.
- **Option A:** No. The confidence interval is an estimate of the standard deviation of the population of speeds at 3:30 on a weekday, not other times.
- **Option B:** Yes. The confidence interval describes the standard deviation for all times during the week.
**Explanation:**
This exercise involves understanding how to calculate and interpret confidence intervals for the standard deviation of a population, based on sample data collected at a specific time.
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