A researcher claims that felons convicted of tax fraud spend less than 12 months in jail, on average. She takes a random sample of 18 such cases from court files and finds that the mean is 10.4 months with a standard deviation of 3.7 months. Test the claim using a level of significance of 10%. You may assume that the amount of time served by these felons is normally distributed. 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: ]There are two different samples being compared Unp > 5 and nq > 5 OThe original population is approximately normal |The population standard deviation is not known OThe population standard deviation is known OThe sample size is larger than 30 OThe sample standard deviation is not known c. Enter the null hypothesis for this test. Ho Select an answer ? d. Enter the alternative hypothesis for this test. H1: 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 v sufficient evidence to Select an answer the claim that felons convicted of tax fraud spend less than 12 months in jail, on average.

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 researcher claims that felons convicted of tax fraud spend less than 12 months in jail, on average. She takes a random sample of 18 such cases from court files and finds that the mean is 10.4 months with a standard deviation of 3.7 months. Test the claim using a level of significance of 10%. You may assume that the amount of time served by these felons is normally distributed.

What type of test will be used in this problem?

What evidence justifies the use of this test? Check all that apply:
- There are two different samples being compared
- np>5

and nq>5

- The original population is approximately normal
- The population standard deviation is not known
- The population standard deviation is known
- The sample size is larger than 30
- 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 felons convicted of tax fraud spend less than 12 months in jail, on average.

A researcher claims that felons convicted of tax fraud spend less than 12 months in jail, on average. She takes a
random sample of 18 such cases from court files and finds that the mean is 10.4 months with a standard
deviation of 3.7 months. Test the claim using a level of significance of 10%. You may assume that the amount of
time served by these felons is normally distributed.
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:
|There are two different samples being compared
Onp > 5 and nq > 5
OThe original population is approximately normal
|The population standard deviation is not known
OThe population standard deviation is known
OThe sample size is larger than 30
OThe sample standard deviation is not known
c. Enter the null hypothesis for this test.
Ho Select an answer
?
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
the claim that felons convicted of tax fraud spend less than 12 months in jail, on
average.

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.

Expert Solution

Step 1

Consider the given information-

$μ = 12 \bar{x} = 10.4 s = 3.7 α = 0.1 n = 18$

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