Project #35692 - Statistics Homework

Steps taken and work for each question MUST be shown and provided. Thanks!

 

1. The data below show the frequency of the victim-offender relationship for violent crime for male victims (Bureau of Justice Statistics 2007).  Calculate the variation ratio for these data.

 

Victim-Offender Relationship

f

Proportion

Nonstranger

 

 

 

Intimate

69,100

0.025

 

Other relative

104,810

0.038

 

Friend/acquaintance

1,090,940

0.396

 

 

 

 

Stranger

 

1,380,230

0.502

Relationship unknown

106,960

0.039

Total

 

2,752,040

1.000

 

            

 

 

 

 

 

 

 

 

2.  The table below features the larceny theft rate in 2006 for all 50 states and the District of Columbia (Bureau of Justice Statistics):

Interval

f

1188.9 - 1540.9

4

1541.9 - 1893.9

11

1894.9 - 2246.9

9

2247.9 - 2599.9

13

2600.9 - 2952.9

14

 

Using these data, calculate the variance and standard deviation.

 

 

 

 

 

 

3. The following data show the robbery rate for 16 states in 2006 (Bureau of Justice Statistics 2007). With these data, calculate the range, the variance, and the standard deviation.

 

 

State

Rate

Georgia

165.6

Hawaii

88.9

Idaho

20.5

Illinois

185.3

Indiana

114.7

Iowa

43.5

Kansas

67.9

Kentucky

86.2

Louisiana

133.6

Maine

29.1

Maryland

256

Massachusetts

125

Michigan

140.7

Minnesota

105.1

Mississippi

107.1

Missouri

129.9

 

 

 

 

 

 

 

 

 

 

 

4.  The following data show the number and type of international terrorist attacks against the United States in 1994 and 2000 (Sourcebook 2000). Is there a trend in the dispersion found in these data?

1994

 

 

 

 

 

 

 

2000

Armed attack

Arson

Assault

Bombing

Firebombing

Kidnapping

Vandalism

 

Armed attack

Arson

Assault

Bombing

Firebombing

Kidnapping

Vandalism

9

0

1

43

2

10

1

 

4

2

0

179

1

11

0

 

 

 

 

 

 

 

 

 

5.  In their study on crime reporting determinants in the city of Tianjin, China, Zhang et al (2007), provided the following demographic characteristics of crime subsamples:

Variable

Subsample

Robbery/Assault

Personal Theft

Burglary

Gender

 

 

 

  Male

62

115

55

  Female

31

171

49

Age Group

 

 

 

  18-34

42

119

34

  35-54

42

123

55

  55 and over

  9

  44

15

 

a. What is the probability of selecting a male out of the sample?

                     

 

b. What is the probability that a person reported a personal theft given that they were female?

         

 

c. What is the probability of being in the robbery or burglary subsamples?

       

 

d. What is the probability that a person was not 55 and over?

         

 

e. What is the probability of not selecting a person from the burglary subsample?

         

 

f. What is the probability of selecting someone from the personal theft or burglary subsamples given that they were female?

         

 

 

 

 

 

 

 

 

 

 

 

 

6. In a national household survey on drug abuse, 10% of 18–25 year olds reported ever using cocaine (Sourcebook 2000). You take a random sample of 10 students at your university and find that none had ever used cocaine. What is the probability of observing no cocaine users in a sample of 10 students if the true probability of cocaine use is 0.10? Using an alpha of 0.05, test the null hypothesis that the probability of cocaine use is 0.10, against the alternative hypothesis that it is less than 0.10.

The probability of 0 cocaine users in a sample of 10 if the true probability of cocaine use is 0.10 is calculated as:

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

7. The following table describes the adjudication and disposition of 416 petitioned juveniles (Snyder and Sickmund, 1995):

Adjudicated

Placed

Probation

Other

Dismissed

Total

Yes

69

187

41

6

303

No

1

27

3

82

113

Total

70

214

44

88

416

 

a. What is the probability that a juvenile was placed?

b. Is this a conditional or an unconditional probability? Explain.

c. What is the probability that a juvenile was not placed?

d. What is the probability that a juvenile was adjudicated?

e. What is the probability that a juvenile was adjudicated or dismissed?

f. Are these mutually exclusive events? Explain.

g. What is the probability that a juvenile was adjudicated and placed?

h. If adjudicated, what is the probability of being placed?

i. If not adjudicated, what is the probability of being placed?

j. Are adjudication and disposition independent events? Explain.

 

 

 

 

 

 

 

 

 

8. Let’s say that the average salary for a state correctional officer in the United States is equal to $28,250, with a standard deviation of $3,500. Decide which of the following states have unusually high or unusually low salaries, where high and low means in the top or bottom 5%.

a.

b.

c.

d.

California

Alaska

New York

Mississippi

$23,300

$42,600

$38,800

$15,300

 

 

Subject Mathematics
Due By (Pacific Time) 07/19/2014 08:00 am
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