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
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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?](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F4a1fc5c2-f6bc-4250-b4f4-96f440602acf%2Fd64dc3f5-1931-498a-bc2c-9bb5c370e9b5%2Fq5edm6c_processed.jpeg&w=3840&q=75)
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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- 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
- Less than 4
- Between 4 and 6
- More than 8
Solution
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