Vehicle use of an intersection. For each day of last year,

Chapter , Problem 153SE

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QUESTION:

Vehicle use of an intersection. 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. Suppose the mean for the data was 375 vehicles per day and the standard deviation was 25 vehicles.

a. What can you say about the percentage of days that more than 425 vehicles used the intersection? Assume you know nothing about the shape of the relative frequency distribution for the data.

b. What is your answer to part a if you know that the relative frequency distribution for the data is mound shaped?

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QUESTION:

Vehicle use of an intersection. 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. Suppose the mean for the data was 375 vehicles per day and the standard deviation was 25 vehicles.

a. What can you say about the percentage of days that more than 425 vehicles used the intersection? Assume you know nothing about the shape of the relative frequency distribution for the data.

b. What is your answer to part a if you know that the relative frequency distribution for the data is mound shaped?

ANSWER:

Solution:

Step 1 of 2:

The objective of the study was to determine the percentage of days that more than 425 vehicles used the intersection.

The mean for the data was 375 vehicles per day and standard deviation was 25 vehicles.

  1. We have to find the percentage of days that more than 425 vehicles used the intersection.
  2. The percentage of  days that more than 425 vehicles used the intersection, if the relative frequency distribution for the data is mound shaped.


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