Traffic department wants to know if automobile accident is a very serious problem in New York compared to other districts in US. Nine intersections in New York have been chosen at random. The number of accidents at those intersections has been recorded for three months. The average number of accidents at an intersection in US in the past three months is 3. The number of accidents at the chosen intersections in New York:ABCDEFGHI6874877115Calculate the mean number of accidents in New YorkCalculate the sample standard deviation for the number of accidents in New YorkState the null hypothesis if traffic department wants to test whether automobile accident is a very serious problem in New York compared to other districts in USContinue from part c, state the corresponding alternative hypothesis of the testContinue from part c, calculate the test statistics of the testContinue from part e, what is the critical value of the test if the significant level is 5%?According to the test, is automobile accident a very serious problem in New York compared to other districts in US?

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Description: Traffic department wants to know if automobile accident is a very serious problem in New York compared to other districts in US. Nine intersections in New York have been chosen at random. The number of accidents at those intersections has been record

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MATLAB: An Introduction with Applications

6th Edition

ISBN:9781119256830

Author:Amos Gilat

Publisher:Amos Gilat

Chapter1: Starting With Matlab

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Traffic department wants to know if automobile accident is a very serious problem in New York compared to other districts in US. Nine intersections in New York have been chosen at random. The number of accidents at those intersections has been recorded for three months. The average number of accidents at an intersection in US in the past three months is 3.

The number of accidents at the chosen intersections in New York:

A	B	C	D	E	F	G	H	I
6	8	7	4	8	7	7	11	5

Calculate the mean number of accidents in New York
Calculate the sample standard deviation for the number of accidents in New York
State the null hypothesis if traffic department wants to test whether automobile accident is a very serious problem in New York compared to other districts in US
Continue from part c, state the corresponding alternative hypothesis of the test
Continue from part c, calculate the test statistics of the test
Continue from part e, what is the critical value of the test if the significant level is 5%?
According to the test, is automobile accident a very serious problem in New York compared to other districts in US?

Definition Definition Measure of central tendency that is the average of a given data set. The mean value is evaluated as the quotient of the sum of all observations by the sample size. The mean, in contrast to a median, is affected by extreme values. Very large or very small values can distract the mean from the center of the data. Arithmetic mean: The most common type of mean is the arithmetic mean. It is evaluated using the formula: μ = 1 N ∑ i = 1 N x i Other types of means are the geometric mean, logarithmic mean, and harmonic mean. Geometric mean: The nth root of the product of n observations from a data set is defined as the geometric mean of the set: G = x 1 x 2 ... x n n Logarithmic mean: The difference of the natural logarithms of the two numbers, divided by the difference between the numbers is the logarithmic mean of the two numbers. The logarithmic mean is used particularly in heat transfer and mass transfer. ln x 2 − ln x 1 x 2 − x 1 Harmonic mean: The inverse of the arithmetic mean of the inverses of all the numbers in a data set is the harmonic mean of the data. 1 1 x 1 + 1 x 2 + ...

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