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1) You are faced with the problem of why people who are convicted of the same crime get different sentences. You believe this is due

1) You are faced with the problem of why people who are convicted of the same crime get different sentences. You believe this is due to demographic factors such as age, gender, and educational level. You also think some personal characteristics may come into play such as intelligence. Also, there may be so personality dimensions such as pychopathy. Therefore, you collect the following data set:

Factor

Age

Gender

Offense

Education

IQ

Psychopathy

Sentence

Score/Range

Range

18 - 73

years

Female Male

Fraud Burglary Murder

< HS

HS < College

College > College

Range

72 - 150

Low Medium High

Range

2 - 99 years

Using the data above, how would you answer the following (i.e. what statistical test would you use, and why did you choose that test)?

1AAre age and gender related (i.e. are men and women the same age)?

1BAre offense and psychopathy related?

1CAre age and sentence related?

1DAre offense and sentence related?

1EHow important are each of the "independent" factors in determining sentence?

2 As a personnel manager, you're interested in studying the relationship between salary and years on the job for sales associates. You're also interested in whether males and females are similarly reimbursed. You have obtained salary and experience data from a sample of 1,000 associates.

2AExplain how you would go about analyzing the data to determine the relationship between salary and years on the job.

2BExplain how you would determine if men and women had similar salaries in relation to years on the jobs.

2c. If the years of experience for all the associates in your sample were less than 5 years, what difficulties do you see with drawing conclusions about salaries for employees with more than five years of experience?

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