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1. IQ scores have a mean of 100 and a standard deviation of 16. Albert Einstein reportedly had an IQ of 160. Convert Einstein's IQ score to a z score. a. b. If we consider "usual IQ scores to be those that convert z scores between -2 and 2, is Einstein's IQ usual c unusual? c. The organization MENSA, which calls itself the "high IQ society", requires a score of 130 or higher. Wha percent of adults would qualify for membership?

1. IQ scores have a mean of 100 and a standard deviation of 16. Albert Einstein reportedly had an IQ of 160. Convert Einstein's IQ score to a z score. a. b. If we consider "usual IQ scores to be those that convert z scores between -2 and 2, is Einstein's IQ usual c unusual? c. The organization MENSA, which calls itself the "high IQ society", requires a score of 130 or higher. Wha percent of adults would qualify for membership?

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
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1. IQ scores have a mean of 100 and a standard deviation of 16. Albert Einstein reportedly had an IQ of 160. Convert Einstein's IQ score to a z score. a. b. If we consider "usual IQ scores to be those that convert z scores between -2 and 2, is Einstein's IQ usual or unusual? C. The organization MENSA, which calls itself the "high IQ society", requires a score of 130 or higher. What percent of adults would qualify for membership? 2. In a recent study on world happiness, participants were asked to evaluate their current lives on a scale from 0 to 10, where 0 represents the worst possible life and 10 represents the best possible life. The responses were normally distributed, with a mean of 5.4 and a standard deviation of 2.2. Find the probability that a randomly selected study participant's response was: a. Less than 4 b. Between 4 and 6 c. More than 8 3. The red blood cell count for a population of adult males can be approximated by a normal distribution, with a mean of 5.4 million cells per microliter and a standard deviation of 0.4 million cells per microliter. a. What is the minimum red blood cell count that can be in the top 25% of counts? b. What is the maximum red blood cell count that can be in the bottom 15% of counts? c. Between what values do the red blood cell count of the middle 95% of adult males fall?
Transcribed Image Text:1. IQ scores have a mean of 100 and a standard deviation of 16. Albert Einstein reportedly had an IQ of 160. Convert Einstein's IQ score to a z score. a. b. If we consider "usual IQ scores to be those that convert z scores between -2 and 2, is Einstein's IQ usual or unusual? C. The organization MENSA, which calls itself the "high IQ society", requires a score of 130 or higher. What percent of adults would qualify for membership? 2. In a recent study on world happiness, participants were asked to evaluate their current lives on a scale from 0 to 10, where 0 represents the worst possible life and 10 represents the best possible life. The responses were normally distributed, with a mean of 5.4 and a standard deviation of 2.2. Find the probability that a randomly selected study participant's response was: a. Less than 4 b. Between 4 and 6 c. More than 8 3. The red blood cell count for a population of adult males can be approximated by a normal distribution, with a mean of 5.4 million cells per microliter and a standard deviation of 0.4 million cells per microliter. a. What is the minimum red blood cell count that can be in the top 25% of counts? b. What is the maximum red blood cell count that can be in the bottom 15% of counts? c. Between what values do the red blood cell count of the middle 95% of adult males fall?
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  1. In a recent study on world happiness, participants were asked to evaluate their current lives on a scale from 0 to 10, where 0 represents the worst possible life and 10 represents the best possible life. The responses were normally distributed, with a mean of 5.4 and a standard deviation of 2.2. 

Find the probability that a randomly selected study participant’s response was: 

  1. Less than 4 




  1. Between 4 and 6 




  1. More than 8
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