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StatisticsQ&A LibraryIntelligence Quotient (IQ) scores are normally distributed with a mean of 100 and a standard deviation of 15. i. To qualify for membership of Mensa, the organization for the “intellectually very superior”, one requires an IQ score above 131.5. What percentage of people meet the Mensa eligibility requirement? ii. If we redefine the category of ‘intellectually very superior” to be scores in the top 2.28 %, what does the minimum score now become for Mensa membership eligibility? iii. If 25 people are randomly selected for an IQ test, find the probability that their mean IQ score is between 95 and 105.Start your trial now! First week only $4.99!*arrow_forward*

Question

Intelligence Quotient (IQ) scores are normally distributed with a mean of 100 and

a standard deviation of 15.

i. To qualify for membership of Mensa, the organization for the “intellectually

very superior”, one requires an IQ score above 131.5. What percentage of

people meet the Mensa eligibility requirement?

ii. If we redefine the category of ‘intellectually very superior” to be scores in

the top 2.28 %, what does the minimum score now become for Mensa

membership eligibility?

iii. If 25 people are randomly selected for an IQ test, find the probability that

their mean IQ score is between 95 and 105.

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