Read the following and answer the questions. Traffic department wants to know if automobile accident is a very serious problem in Central compared to other districts in Hong Kong. Nine intersections in Central 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 Hong Kong in the past three months is 3. The number of accidents at the chosen intersections in Central: 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 Central. Calculate the sample standard deviation for the number of accidents in Central. State the null hypothesis if traffic department wants to test whether automobile accident is a very serious problem in Central compared to other districts in Hong Kong. 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 Central compared to other districts in Hong Kong? A team of experts claims that a modification in the type of light will reduce these accidents. The lights at the chosen intersections in Central were modified. The number of accidents before and after the modification has been recorded. A B C D E F G H I Before 6 8 7 4 8 7 7 11 5 After 1 5 6 0 4 2 5 3 1 State the null hypothesis if traffic department wants to test whether the modification reduces the number of traffic accidents in Central. Continue from part a, state the corresponding alternative hypothesis of the test. Continue from part a, calculate the test statistics of the test. Continue from part c, what is the critical value of the test if the significant level is 1%? According to the test, is it reasonable to conclude that the modification reduced the number of traffic accidents?

Read the following and answer the questions. Traffic department wants to know if automobile accident is a very serious problem in Central compared to other districts in Hong Kong. Nine intersections in Central 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 Hong Kong in the past three months is 3. The number of accidents at the chosen intersections in Central: 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 Central. Calculate the sample standard deviation for the number of accidents in Central. State the null hypothesis if traffic department wants to test whether automobile accident is a very serious problem in Central compared to other districts in Hong Kong. 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 Central compared to other districts in Hong Kong? A team of experts claims that a modification in the type of light will reduce these accidents. The lights at the chosen intersections in Central were modified. The number of accidents before and after the modification has been recorded. A B C D E F G H I Before 6 8 7 4 8 7 7 11 5 After 1 5 6 0 4 2 5 3 1 State the null hypothesis if traffic department wants to test whether the modification reduces the number of traffic accidents in Central. Continue from part a, state the corresponding alternative hypothesis of the test. Continue from part a, calculate the test statistics of the test. Continue from part c, what is the critical value of the test if the significant level is 1%? According to the test, is it reasonable to conclude that the modification reduced the number of traffic accidents?

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Description: Read the following and answer the questions. Traffic department wants to know if automobile accident is a very serious problem in Central compared to other districts in Hong Kong. Nine intersections in Central have been chosen at random. The number o

MATLAB: An Introduction with Applications

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Read the following and answer the questions.

Traffic department wants to know if automobile accident is a very serious problem in Central compared to other districts in Hong Kong. Nine intersections in Central 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 Hong Kong in the past three months is 3.

The number of accidents at the chosen intersections in Central:

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 Central.
Calculate the sample standard deviation for the number of accidents in Central.
State the null hypothesis if traffic department wants to test whether automobile accident is a very serious problem in Central compared to other districts in Hong Kong.
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 Central compared to other districts in Hong Kong?

A team of experts claims that a modification in the type of light will reduce these accidents. The lights at the chosen intersections in Central were modified. The number of accidents before and after the modification has been recorded.

	A	B	C	D	E	F	G	H	I
Before	6	8	7	4	8	7	7	11	5
After	1	5	6	0	4	2	5	3	1

State the null hypothesis if traffic department wants to test whether the modification reduces the number of traffic accidents in Central.
Continue from part a, state the corresponding alternative hypothesis of the test.
Continue from part a, calculate the test statistics of the test.
Continue from part c, what is the critical value of the test if the significant level is 1%?
According to the test, is it reasonable to conclude that the modification reduced the number of traffic accidents?

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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