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
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ISBN:9781119256830
Author:Amos Gilat
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Chapter1: Starting With Matlab
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**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.
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