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criminologist developed a test to measure recidivism, where low scores indicated a lower probability of repeating the undesirable behavior

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Problem set 1: Use the following information to answer questions 1-5 (40 points):

A criminologist developed a test to measure recidivism, where low scores indicated a lower probability of repeating the undesirable behavior. The test is normed so that it has a mean of 122 and a standard deviation of 32.

1. What is the percentile rank of a score of 186 (8 pts)?

2. What is the Z score for a test score of 94 (8 pts)?

3. What percentage of scores falls between 94 and 170 (8 pts)?

4. What proportion of respondents should score above 186 (8 pts)?

5. Suppose an individual is in the 75.8th percentile in this test, what is his or her corresponding recidivism score (8 pts)?

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