Question

Q1) Give the R code for the following problems. Only syntax is required.

a) Suppose IQ is normally distributed with a mean of 100 and a standard deviation of 15. Give the R code needed to find the IQ that separates the top 5% from the others.

b) Suppose IQ is normally distributed with a mean of 100 and a standard deviation of 15. Give the R code needed to find the IQ that corresponds to the 75% percentile.

c) Suppose IQ is normally distributed with a mean of 100 and a standard deviation of 15. Give the R code needed to find the probability a randomly selected person has an IQ less than 80.

Answer #1

######### R-code:

mu=100

sig=15

#PART-a

IQ1= qnorm(1-0.05, mu ,sig)

IQ1

#PART-b

IQ2= qnorm(0.75, mu ,sig)

IQ2

#PART-c

prob= pnorm(80, mu ,sig)

prob

Q1) Give the R code for the following problems
a) Suppose IQ is normally distributed with a mean of 100 and a
standard deviation of 15. Give the R code needed to find the IQ
that separates the top 5% from the others.
b) Suppose IQ is normally distributed with a mean of 100 and a
standard deviation of 15. Give the R code needed to find the IQ
that corresponds to the 75% percentile.
c) Suppose IQ is normally...

Assume that adults have IQ scores that
are normally distributed with a mean of 100 and a standard
deviation of 15. Find the probability that a randomly selected
adult has an IQ between 115 and 130.
(a)
.6700 (b)
.1359 (c)
.9082 (d)
.1596 (e) .1628
5 Refer to question 4
above. Find the IQ score at Q1 or the 25th percentile.
This is the score which separates the bottom 25% from the top
75%.
(a)
89.95 (b)...

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Find the probability that a person has an IQ below 60
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from the upper 75%.
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bottom 68 percent is [IQValue].

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x=90
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2) Find the area of the shaded region. The graph to the right
depicts IQ scores of adults, and those scores are normally
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7. IQ scores are normally distributed with a mean of 100 and a
standard deviation of 15 points.
a. Find the probability that a randomly selected person has an
IQ less than 115.
b. Find the probability that a randomly selected person has an
IQ above 60.
c. Find the 80th percentile for IQ scores.
d. Find the probability that 20 randomly selected person has an
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e. What percentage of people have IQ scores between 60...

IQ scores have a mean of 100 and a standard deviation of 15.
What percentile corresponds to an IQ score of 115? Explain the
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Suppose a person must score in the upper 2.5% of the population
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to qualify for Mensa? [15 pts.]
DO NOT SHOW WORK IN THE SPACE BELOW. You must
attach a document to question 6 showing your work for problems 3-5
in order to...

IQ
scores are normally distributed with a mean of 100 and a standard
deviation of 15. Determine the 90th percentile for IQ scores

Using excel and the functions
IQ is normally distributed with a mean of 100 and a standard
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X ~ _____(_____,_____)
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MENSA is an organization whose members have the top 2% of all
IQs. Find the minimum IQ needed to qualify for...

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