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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 an 80% confidence interval estimate of the population standard deviation. 65 62 62 57 62 54 59 58 59 70 61 67 Click the icon to view the table of Chi-Square critical values. The confidence interval estimate is (Round to one decimal place as needed.) -- mi/h

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 an 80% confidence interval estimate of the population standard deviation. 65 62 62 57 62 54 59 58 59 70 61 67 Click the icon to view the table of Chi-Square critical values. The confidence interval estimate is (Round to one decimal place as needed.) -- mi/h

MATLAB: An Introduction with Applications
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: Estimating Population Standard Deviation **Data Collection:** A simple random sample of traffic speeds (in miles per hour, mi/h) was measured on a busy highway at 3:30 P.M. on a weekday. The recorded speeds are as follows: 65, 62, 62, 57, 62, 54, 59, 58, 59, 70, 61, 67 **Objective:** Using the sample data, we aim to construct an 80% confidence interval estimate of the population standard deviation. ### Calculation Steps 1. **Chi-Square Distribution:** You may need to refer to a Chi-Square critical values table to determine the confidence interval. Click on the provided icon in the original context for access. 2. **Confidence Interval Estimation Formula:** The confidence interval for the population standard deviation (σ) can be calculated once the critical values are known. The formula for the confidence interval estimate is: \[ \text{Confidence interval} = ( \text{Lower Bound} ) \text{ mi/h} < \sigma < ( \text{Upper Bound} ) \text{ mi/h} \] *Remember to round your answers to one decimal place as needed.* ### Analysis Question Does this confidence interval describe the standard deviation for all times during the week? Choose the correct answer from the following options: - **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. - **B.** Yes. The confidence interval describes the standard deviation for all times during the week. ### Explanation This analysis specifically addresses the traffic speeds at a particular time (3:30 P.M. on a weekday). It is important to understand the limitations of the confidence interval's applicability, as highlighted in the analysis question.
Transcribed Image Text:### Traffic Speed Analysis: Estimating Population Standard Deviation **Data Collection:** A simple random sample of traffic speeds (in miles per hour, mi/h) was measured on a busy highway at 3:30 P.M. on a weekday. The recorded speeds are as follows: 65, 62, 62, 57, 62, 54, 59, 58, 59, 70, 61, 67 **Objective:** Using the sample data, we aim to construct an 80% confidence interval estimate of the population standard deviation. ### Calculation Steps 1. **Chi-Square Distribution:** You may need to refer to a Chi-Square critical values table to determine the confidence interval. Click on the provided icon in the original context for access. 2. **Confidence Interval Estimation Formula:** The confidence interval for the population standard deviation (σ) can be calculated once the critical values are known. The formula for the confidence interval estimate is: \[ \text{Confidence interval} = ( \text{Lower Bound} ) \text{ mi/h} < \sigma < ( \text{Upper Bound} ) \text{ mi/h} \] *Remember to round your answers to one decimal place as needed.* ### Analysis Question Does this confidence interval describe the standard deviation for all times during the week? Choose the correct answer from the following options: - **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. - **B.** Yes. The confidence interval describes the standard deviation for all times during the week. ### Explanation This analysis specifically addresses the traffic speeds at a particular time (3:30 P.M. on a weekday). It is important to understand the limitations of the confidence interval's applicability, as highlighted in the analysis question.
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