Question 1.3 A good practice example which highlights the difference between ordinary distribution of X and sampling distribution of X with separate word problems follows: Intelligence Quotient (IQ) is normally distributed with mean 110 and standard deviation of 10. A moron is a person with IQ less than 80. a) Find the probability that a randomly chosen person is a moron. b) Let a dumb idiot be defined as one with an IQ less than 90. Find the probability that a randomly chosen person is a dumb idiot. c) If a sample of 25 students is available, ii. what is the probability that the average IQ exceeds 105? What is the probability that the average IQ exceeds 115.

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
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Chapter10: Statistics
Section10.4: Distributions Of Data
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Question 1.3
A good practice example which highlights the difference between ordinary distribution of X and
sampling distribution of X with separate word problems follows:
Intelligence Quotient (IQ) is normally distributed with mean 110 and standard deviation of 10. A
moron is a person with IQ less than 80.
a) Find the probability that a randomly chosen person is a moron.
b)
Let a dumb idiot be defined as one with an IQ less than 90. Find the probability that a
randomly chosen person is a dumb idiot.
c) If a sample of 25 students is available,
i.
ii.
what is the probability that the average IQ exceeds 105?
What is the probability that the average IQ exceeds 115.
Transcribed Image Text:Question 1.3 A good practice example which highlights the difference between ordinary distribution of X and sampling distribution of X with separate word problems follows: Intelligence Quotient (IQ) is normally distributed with mean 110 and standard deviation of 10. A moron is a person with IQ less than 80. a) Find the probability that a randomly chosen person is a moron. b) Let a dumb idiot be defined as one with an IQ less than 90. Find the probability that a randomly chosen person is a dumb idiot. c) If a sample of 25 students is available, i. ii. what is the probability that the average IQ exceeds 105? What is the probability that the average IQ exceeds 115.
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