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1. Consider the normal distribution of IQs with a mean of 100 and a standard deviation of 16. What percent of IQs are a. greater than 95? b. less than 120? c. between 90 and 110?

1. Consider the normal distribution of IQs with a mean of 100 and a standard deviation of 16. What percent of IQs are a. greater than 95? b. less than 120? c. between 90 and 110?

MATLAB: An Introduction with Applications
MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
Section: Chapter Questions
Problem 1P
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b. Step 1. Convert the score 38 to z-score X-X Z= S = 38-45 4 Z = -1.75 Step 2. Sketch the normal curve. -1.75 38 Let A = area below z = -1.75 A₁ = area between z = 0 and z = -1.75 A2 = area of half the curve From the table, A₁ = 0.4599 A = A₂ - A₁ = 0.5-0.4599 A = 0.0401 The probability that a score picked up at random will lie below 38 is 0.0401. Practice/Exercises: Solve the following problems. 1. Consider the normal distribution of IQs with a mean of 100 and a standard deviation of 16. What percent of IQs are a. greater than 95? b. less than 120? c. between 90 and 110? 2. A normal distribution of scores has a mean of 120 and a standard deviation of 20. What score separates the top 40% of the scores from the rest? A2 A1 0 45
Transcribed Image Text:b. Step 1. Convert the score 38 to z-score X-X Z= S = 38-45 4 Z = -1.75 Step 2. Sketch the normal curve. -1.75 38 Let A = area below z = -1.75 A₁ = area between z = 0 and z = -1.75 A2 = area of half the curve From the table, A₁ = 0.4599 A = A₂ - A₁ = 0.5-0.4599 A = 0.0401 The probability that a score picked up at random will lie below 38 is 0.0401. Practice/Exercises: Solve the following problems. 1. Consider the normal distribution of IQs with a mean of 100 and a standard deviation of 16. What percent of IQs are a. greater than 95? b. less than 120? c. between 90 and 110? 2. A normal distribution of scores has a mean of 120 and a standard deviation of 20. What score separates the top 40% of the scores from the rest? A2 A1 0 45
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