# Empirical Rule Z-scores Boxplot-1.docx - 1. Researchers...

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1.Researchers at Georgia State University investigated the personality characteristics of drug dealers in order toshed light on their motivation for participating in the illegal drug market. The sample consisted of 100 convicteddrug dealers who attended a court-mandated counseling program. Each dealer was scored on the WantingRecognition (WR) Scale, which provides a quantitative measure of a person’s level of need for approval andsensitivity to social situations. (Higher scores indicate a greater need for approval.) The sample of drug dealershad a mean WR score of 39, with a standard deviation of 6. Assume the distribution of WR scores for drugdealers is mound shaped and symmetric.a.Give a range of WR scores that will contain about 95% of the scores in the drug dealer sample.b.What proportion of drug dealers will have WR scores above 51?c.Give a range of WR scores that will contain nearly all the scores in the drug dealer sample?d.What proportion of drug dealers would have a WR score between 27 and 39?e.What proportion of drug dealers would have a WR score of 33 and 51?2.Compare the z-scores to decide which of the following x values lie the greatest distance above the mean and thegreatest distance below the mean:a.x = 100, μ = 50, σ = 25b.x = 1, μ = 4, σ = 1c.x = 0, μ = 200, σ = 100d.x = 10, μ = 5, σ = 33.At one university, the students are given z-scores at the end of each semester, rather than traditional GPAs. Themean and standard deviation of all students’ cumulative GPAs, on which the z-scores are based, are 2.7 and .5,respectively.
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Term
Summer
Professor
Bina
Tags
Illegal drug trade, Latin honors, higher scores