1. For each day of last year, the number of vehicles passing through a certain intersection was recorded by a city engineer. One objective of this study was to determine the percentage of days that more than 425 vehicles used the intersection. If the mean data was 375 vehicles per day and the standard deviation was 25 vehicles: (a) What can be said about the percentage of days between 325 and 425 vehicles used the intersection? 0 95% at least 75% 75% 68%

MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
Section: Chapter Questions
Problem 1P
icon
Related questions
Question
**Question Analysis on Vehicle Traffic Data**

1. For each day of last year, the number of vehicles passing through a certain intersection was recorded by a city engineer. One objective of this study was to determine the percentage of days that more than 425 vehicles used the intersection. If the mean data was 375 vehicles per day and the standard deviation was 25 vehicles:
   
   (a) What can be said about the percentage of days between 325 and 425 vehicles used the intersection?
   
   - 95%
   - at least 75%
   - 75%
   - 68%

**Explanation:**
The question aims to assess the understanding of normal distribution and the empirical rule (68-95-99.7 rule) based on the given mean and standard deviation values. The problem provides essential statistical measures and asks for an interpretation in terms of vehicle usage percentiles.

**Note on Graphs or Diagrams:**
There are no explicit graphs or diagrams included in the image. If relevant to the educational context, a normal distribution curve illustrating the mean and standard deviation can be helpful in visualizing the problem. It would show the areas corresponding to the provided options, demonstrating how the majority of data points (vehicle counts) fall within certain standard deviations from the mean.
Transcribed Image Text:**Question Analysis on Vehicle Traffic Data** 1. For each day of last year, the number of vehicles passing through a certain intersection was recorded by a city engineer. One objective of this study was to determine the percentage of days that more than 425 vehicles used the intersection. If the mean data was 375 vehicles per day and the standard deviation was 25 vehicles: (a) What can be said about the percentage of days between 325 and 425 vehicles used the intersection? - 95% - at least 75% - 75% - 68% **Explanation:** The question aims to assess the understanding of normal distribution and the empirical rule (68-95-99.7 rule) based on the given mean and standard deviation values. The problem provides essential statistical measures and asks for an interpretation in terms of vehicle usage percentiles. **Note on Graphs or Diagrams:** There are no explicit graphs or diagrams included in the image. If relevant to the educational context, a normal distribution curve illustrating the mean and standard deviation can be helpful in visualizing the problem. It would show the areas corresponding to the provided options, demonstrating how the majority of data points (vehicle counts) fall within certain standard deviations from the mean.
Expert Solution
steps

Step by step

Solved in 2 steps with 2 images

Blurred answer
Similar questions
Recommended textbooks for you
MATLAB: An Introduction with Applications
MATLAB: An Introduction with Applications
Statistics
ISBN:
9781119256830
Author:
Amos Gilat
Publisher:
John Wiley & Sons Inc
Probability and Statistics for Engineering and th…
Probability and Statistics for Engineering and th…
Statistics
ISBN:
9781305251809
Author:
Jay L. Devore
Publisher:
Cengage Learning
Statistics for The Behavioral Sciences (MindTap C…
Statistics for The Behavioral Sciences (MindTap C…
Statistics
ISBN:
9781305504912
Author:
Frederick J Gravetter, Larry B. Wallnau
Publisher:
Cengage Learning
Elementary Statistics: Picturing the World (7th E…
Elementary Statistics: Picturing the World (7th E…
Statistics
ISBN:
9780134683416
Author:
Ron Larson, Betsy Farber
Publisher:
PEARSON
The Basic Practice of Statistics
The Basic Practice of Statistics
Statistics
ISBN:
9781319042578
Author:
David S. Moore, William I. Notz, Michael A. Fligner
Publisher:
W. H. Freeman
Introduction to the Practice of Statistics
Introduction to the Practice of Statistics
Statistics
ISBN:
9781319013387
Author:
David S. Moore, George P. McCabe, Bruce A. Craig
Publisher:
W. H. Freeman