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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