Lecture 8 Outline of Last Lecture I Perposes of Determining Z Scores II Location within Distribution III Standardized Distributions IV Percentile Scores Psych 311 1st Edition Outline of Current Lecture I Z Score Example Questions Current Lecture I Z Score Example Questions 1 For a population with 100 and 20 what is the X value corresponding to z 0 75 a 85 b 95 c 105 d 115 0 75 X 100 20 X 85 85 100 15 20 0 75 2 A population of scores has 44 In this population a score of X 40 corresponds to z 0 50 What is the population standard deviation a 2 b 4 c 8 d 8 0 5 40 44 8 40 44 4 8 0 5 3 For the past 20 years the high temperature on April 15th has averaged 62 degrees with a standard deviation of 12 Last year the high temperature was 68 degrees Based on this information which of the following best describes last year s temperature on April 15th a A little above average These notes represent a detailed interpretation of the professor s lecture GradeBuddy is best used as a supplement to your own notes not as a substitute b Far above average c Above average but it is impossible to describe how much above average d There is not enough information to compare last year with the average Z 68 62 12 Z 0 5 4 Under what circumstances would a score that is 15 points above the mean be considered an extreme score a When the population mean is much larger than 15 b When the population standard deviation is much larger than 15 c When the population mean is much smaller than 15 d When the population standard deviation is much smaller than 15 Extreme scores are score in which X has a Z score more than or less than 2 SD from the mean 5 Suppose you earned a score of X 54 on an exam Which set of parameters would give you the highest grade a 50 2 b 50 8 c 52 2 d 52 8 A Z 54 50 2 Z 2 00 A has the highest Z Score B Z 54 50 8 Z 0 50 C Z 54 52 2 Z 1 0 D Z 54 52 8Z 0 25 6 Using z scores a population with 37 and 6 is standardized so that the new mean is 50 and 10 After the standardization one individual has a score of X 55 What was this individual s score in the original distribution a X 40 b X 42 c X 43 d Cannot be determined with the information given Z 55 50 10 Z 0 5 0 5 X 37 6 X 40
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