b) Now suppose that a random sample of n = 9 people take the IQ test. What is the probability that the average IQ score of those 9 people is 106 or above? c) Repeat part (b) with n = 25 as the sample size. d) Compare these three answers. You should have found that the probability that the average IQ is 106 or higher decreases as n increases. Explain why.

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Hi I know you can’t answer D but if you could then I would greatly appreciate that if not please just answer one a 3a 3b 3c thank you so much I really appreciate it
3. IQ scores are normally distributed with a mean of µ = 100 and a standard deviation of o = 15.
a) What is the probability that a single (n = 1) randomly selected person has an IQ of at least 106?
b) Now suppose that a random sample of n = 9 people take the IQ test. What is the probability that the
average IQ score of those 9 people is 106 or above?
c) Repeat part (b) with n = 25 as the sample size.
d) Compare these three answers. You should have found that the probability that the average IQ is 106 or
higher decreases as n increases. Explain why.
Transcribed Image Text:3. IQ scores are normally distributed with a mean of µ = 100 and a standard deviation of o = 15. a) What is the probability that a single (n = 1) randomly selected person has an IQ of at least 106? b) Now suppose that a random sample of n = 9 people take the IQ test. What is the probability that the average IQ score of those 9 people is 106 or above? c) Repeat part (b) with n = 25 as the sample size. d) Compare these three answers. You should have found that the probability that the average IQ is 106 or higher decreases as n increases. Explain why.
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