A civil engineer has been studying the frequency of vehicle accidents on a certain stretch of interstate highway. Long-term history indicates that there has been an average of accidents per day on this section of the interstate. Let r be a random variable that represents number of accidents per day. Let O represent the number of observed accidents per day based on local highway patrol reports. A random sample of days gave the following information. r 0 1 2 3 4 or more O 18 22 17 18 14 The civil engineer wants to use a Poisson distribution to represent the probability of r, the number of accidents per day. use The Poisson distribution. where 1.72 is the average number of accidents per day. Test the statement that the Poisson distribution fits the sample data. Use a 1% level of significance. choose the correct answer based on the data: a) Since the P-Value is than the level of significance, we the null hypothesis that the Poisson distribution the data. At level of significance, we conclude that the Poisson distribution the data. b) Since the P-Value is than the level of significance, we the null hypothesis that the Poisson distribution the data. At level of significance, we conclude that the Poisson distribution the data. c) Since the P-Value is than the level of significance, we the null hypothesis that the Poisson distribution the data. At level of significance, we conclude that the Poisson distribution the data. d) Since the P-Value is than the level of significance, we the null hypothesis that the Poisson distribution the data. At level of significance, we conclude that the Poisson distribution the data. e)Since the P-Value is than the level of significance, we the null hypothesis that the Poisson distribution the data. At level of significance, we conclude that the Poisson distribution the data.

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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A civil engineer has been studying the frequency of vehicle accidents on a certain stretch of interstate highway. Long-term history indicates that there has been an average of accidents per day on this section of the interstate. Let r be a random variable that represents number of accidents per day. Let O represent the number of observed accidents per day based on local highway patrol reports. A random sample of days gave the following information.

r	0	1	2	3	4 or more
O	18	22	17	18	14

The civil engineer wants to use a Poisson distribution to represent the probability of r, the number of accidents per day. use The Poisson distribution.

where 1.72 is the average number of accidents per day. Test the statement that the Poisson distribution fits the sample data. Use a 1% level of significance.

choose the correct answer based on the data:

a) Since the P-Value is than the level of significance, we the null hypothesis that the Poisson distribution the data. At level of significance, we conclude that the Poisson distribution the data.

b) Since the P-Value is than the level of significance, we the null hypothesis that the Poisson distribution the data. At level of significance, we conclude that the Poisson distribution the data.

c) Since the P-Value is than the level of significance, we the null hypothesis that the Poisson distribution the data. At level of significance, we conclude that the Poisson distribution the data.

d) Since the P-Value is than the level of significance, we the null hypothesis that the Poisson distribution the data. At level of significance, we conclude that the Poisson distribution the data.

e)Since the P-Value is than the level of significance, we the null hypothesis that the Poisson distribution the data. At level of significance, we conclude that the Poisson distribution the data.

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