Statistics in TUCSON

Statistics in TUCSON

Search the Internet or published reports and find a criminal justice example of one of the following types of graphic or tabular information for your local area:

•  Pie Chart

•  Bar Chart

•  Frequency Polygon

•  Frequency Distribution

•  Cross-Tabulation

•  Histogram

•  Crime Map

Imagine that you are a local law enforcement administrator. Answer the following questions in a 2- to 3-page (double-spaced) essay.
•  What do these data tell you?

•  If your graph is most relevant to police or correctional officers: How might this data change the direction you give to line-level officers about tactics and

deployment? If your graph is most relevant to court or to correctional treatment workers: How might this data suggest changes in policy or practice?

•  What other information might you request to buttress this data and ensure you had the information you needed to make responsible management decisions?

•  Are there ways in which these data might be misused?

This assignment provides you with the opportunity to put statistical data to work, and to see how it might be utilized in a real-life work environment, such as in the

criminal justice field.

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Statistics and Spatial Analysis Inferential Statistics

Answer the following questions by hand (you do not need to type in Word.)
1.    The distribution of the heights of young women is approximately normal with unknown mean µ and a standard deviation 5 inches. We are interested in estimating

the populations mean height of young women. Suppose 70 students were asked to do their surveys on the heights of young women and you have got the following responses

from six women.

1) Calculate the sample mean.
2) Find a 90% confidence interval for the population mean height.
3) The true population mean is µ = 65 inches. Is this value contained in your interval? Approximately how many of your classmates will obtain an interval that contains

µ? Explain your answer.

2.    A planner wishes to estimate average household size for a community within ±0.2 error. The planner desires a 95% confidence level. A small survey indicates

that the standard deviation of household size is 2.0. How large should the sample be?

3.    Acidity data has been collected for a population of ~6000 lakes in Ontario, with a mean pH of µ = 6.69, and s = 0.83.  A group of 57 lakes in a particular

region of Ontario with acidic conditions is sampled and is found to have a mean pH of x = 6.16, and a standard deviation s = 0.96.  Are the lakes in that particular

region more acidic than the lakes throughout Ontario?

4.    An exhaustive survey of all users of a wilderness park taken in 1960 revealed that the average number of person per party was 2.6.  In a random sample of 25

parties in 1985, the average was 3.2 persons with a standard deviation of 1.08. a) Test the hypothesis that the number of persons per party has changed in the

intervening years. b) Determine the corresponding p value.

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