Listed below are speeds (mi/h) measured from traffic on a busy highway. This simple random sample was obtained at 3:30 P.M. on a weekday. Use the sample data to construct a 98% confidence interval estimate of the population standard deviation. 63 62 62 57 62 52 61 60 61 69 59 66 O Click the icon to view the table of Chi-Square critical values. The confidence interval estimate is mi/h < o< mi/h. (Round to one decimal place as needed.) Does the confidence interval describe the standard deviation for all times during the week? Choose the correct answer below. O 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. O B. Yes. The confidence interval describes the standard deviation for all times during the week.
Listed below are speeds (mi/h) measured from traffic on a busy highway. This simple random sample was obtained at 3:30 P.M. on a weekday. Use the sample data to construct a 98% confidence interval estimate of the population standard deviation. 63 62 62 57 62 52 61 60 61 69 59 66 O Click the icon to view the table of Chi-Square critical values. The confidence interval estimate is mi/h < o< mi/h. (Round to one decimal place as needed.) Does the confidence interval describe the standard deviation for all times during the week? Choose the correct answer below. O 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. O B. Yes. The confidence interval describes the standard deviation for all times during the week.
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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![**Traffic Speed Analysis Using Confidence Intervals**
In a study to estimate the traffic speed on a busy highway, the following data represents speeds (in miles per hour, mi/h) from a simple random sample taken at 3:30 P.M. on a weekday:
- Speeds: 63, 62, 62, 57, 62, 52, 61, 60, 61, 69, 59, 66
To estimate the population standard deviation, we use this sample data to construct a 98% confidence interval.
### Critical Steps:
1. **Data Collection**
- Recorded speeds at a specific time and day.
2. **Statistical Method**
- A 98% confidence interval is calculated for the standard deviation of the population based on the sample.
3. **Reference Tool**
- A Chi-Square distribution table is necessary to find critical values for the interval calculation.
### The Confidence Interval Formula:
The confidence interval estimate for the population standard deviation \( \sigma \) is:
\[ \text{[Lower Bound]} \, \text{mi/h} < \sigma < \text{[Upper Bound]} \, \text{mi/h} \]
*Note: Values will be calculated and rounded to one decimal place.*
### Understanding the Confidence Interval:
Does this confidence interval describe the standard deviation of speeds for all times during the week?
- **Option A:** No, it only estimates the standard deviation for the population of speeds at 3:30 P.M. on a weekday.
- **Option B:** Yes, it describes the standard deviation for all times during the week.
**Correct Answer:**
- **Option A** is correct. The interval is specific to the conditions under which the sample was drawn—3:30 P.M. on a weekday.
This analysis is a statistical representation of specific conditions and should not be generalized beyond the sample's scope without further data.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fa951095b-8fe2-4ec9-81e0-5c7669f4ee38%2Fb7bd6ba1-f256-45fb-a48f-a03aa6af0e99%2Ff7ab6eo_processed.jpeg&w=3840&q=75)
Transcribed Image Text:**Traffic Speed Analysis Using Confidence Intervals**
In a study to estimate the traffic speed on a busy highway, the following data represents speeds (in miles per hour, mi/h) from a simple random sample taken at 3:30 P.M. on a weekday:
- Speeds: 63, 62, 62, 57, 62, 52, 61, 60, 61, 69, 59, 66
To estimate the population standard deviation, we use this sample data to construct a 98% confidence interval.
### Critical Steps:
1. **Data Collection**
- Recorded speeds at a specific time and day.
2. **Statistical Method**
- A 98% confidence interval is calculated for the standard deviation of the population based on the sample.
3. **Reference Tool**
- A Chi-Square distribution table is necessary to find critical values for the interval calculation.
### The Confidence Interval Formula:
The confidence interval estimate for the population standard deviation \( \sigma \) is:
\[ \text{[Lower Bound]} \, \text{mi/h} < \sigma < \text{[Upper Bound]} \, \text{mi/h} \]
*Note: Values will be calculated and rounded to one decimal place.*
### Understanding the Confidence Interval:
Does this confidence interval describe the standard deviation of speeds for all times during the week?
- **Option A:** No, it only estimates the standard deviation for the population of speeds at 3:30 P.M. on a weekday.
- **Option B:** Yes, it describes the standard deviation for all times during the week.
**Correct Answer:**
- **Option A** is correct. The interval is specific to the conditions under which the sample was drawn—3:30 P.M. on a weekday.
This analysis is a statistical representation of specific conditions and should not be generalized beyond the sample's scope without further data.
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