Answered: The data below represents yearly car…

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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Question

The data below represents yearly car insurance premiums in the US for 18 randomly selected drivers. Assuming the data is normally distributed, test the claim that the average yearly car insurance premium for a person in the US is $1,641 using a level of significance of 5%.

1,653	1,668	1,511
1,634	1,645	1,617
1,557	1,581	1,607
1,614	1,616	1,577
1,639	1,659	1,778
1,672	1,578	1,569

What type of test will be used in this problem?

What evidence justifies the use of this test? Check all that apply:
- The population standard deviation is not known
- The original population is approximately normal
- np>5

and nq>5

- There are two different samples being compared
- The sample size is larger than 30
- The population standard deviation is known
- The sample standard deviation is not known
Enter the null hypothesis for this test.
H0
Enter the alternative hypothesis for this test.
H1:
Is the original claim located in the null or alternative hypothesis?
What is the test statistic for the given statistics?
What is the p-value for this test?
What is the decision based on the given statistics?
What is the correct interpretation of this decision?

Using a % level of significance, there

sufficient evidence to the claim that the average yearly car insurance premium for a person in the US is $1,641.

The data below represents yearly car insurance premiums in the US for 18 randomly selected drivers. Assuming
the data is normally distributed, test the claim that the average yearly car insurance premium for a person in the
US is $1,641 using a level of significance of 5%.
1,653
1,668
1,511
1,634
1,645
1,617
1,557
1,581
1,607
1,614
1,616
1,577
1,639
1,659
1,778
1,672
1,578
1,569
a. What type of test will be used in this problem?
Select an answer
b. What evidence justifies the use of this test? Check all that apply:
The population standard deviation is not known
OThe original population is approximately normal
Onp > 5 and nq > 5
There are two different samples being compared
OThe sample size is larger than 30
The population standard deviation is known
OThe sample standard deviation is not known
c. Enter the null hypothesis for this test.
Ho Select an answer
? v
d. Enter the alternative hypothesis for this test.
H: Select an answer v
e. Is the original claim located in the null or alternative hypothesis?
Select an answer
f. What is the test statistic for the given statistics?
g. What is the p-value for this test?
h. What is the decision based on the given statistics?
Select an answer
i. What is the correct interpretation of this decision?
Using a
|% level of significance, there Select an answer
sufficient evidence to
Select an answer
v the claim that the average yearly car insurance premium for a person in the US is
$1,641.

Features Features Normal distribution is characterized by two parameters, mean (µ) and standard deviation (σ). When graphed, the mean represents the center of the bell curve and the graph is perfectly symmetric about the center. The mean, median, and mode are all equal for a normal distribution. The standard deviation measures the data's spread from the center. The higher the standard deviation, the more the data is spread out and the flatter the bell curve looks. Variance is another commonly used measure of the spread of the distribution and is equal to the square of the standard deviation.

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