Question

IQ scores are known to be normally distributed with a mean of 100 and a standard deviation of 16.

a. Determine the percentage of students who score between 85 and 120.

b. Determine the percentage of students who score 80 or greater.

c. Obtain the quartiles, Q1, Q2, and Q3 for the IQ scores, and show this on a sketch of a normal curve. Include both a z-axis and an x-axis below the curve.

d. If Mensa only accepts the top 2% of all IQ’s, how high would your IQ have to be to be admitted?

e. If 8500 people were randomly selected and this population had approximately a normal distribution of IQ scores, how many of these people could we expect to have IQ’s over 125?

Answer #1

IQ scores are normally distributed
with mean of 100 and a standard deviation of 15.
If MENSA only accepts people with an IQ score at the
99th percentile or higher, what is the lowest possible
IQ score you can have and still be admitted to the
organization?
Mental disability has traditionally been diagnosed for anyone
with an IQ of 70 or lower. By this standard, what proportion of the
population would meet criteria to be diagnosed with a mental
disability?...

IQ scores are normally distributed and you know the mean and
standard deviation of these scores. Mensa is organization for
people with very high levels of intelligence. Mensa accepts as
members anyone whose IQ score falls in the top 2% of all people.
Your IQ score is 130 and you want to do an analysis to find out if
you are eligible. You would need to do a _____ analysis. (Choose
1)
_____ a. z-score and the normal curve
_____...

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
IQ less than 110.
e. What percentage of people have IQ scores between 60...

Scores of an IQ test have a bell-shapped distribution
with a mean of 100 and standard deviation of 15. Use the empirical
rule to determine the following.
A.) What percentage of people has an IQ between 55 and
145?
B.) What percentage of people has an IQ score less than
85 or greater than 115?
C.) What percentage of people has an IQ score greater
than 145?
(Type an integer or decimal.)

Scores of an IQ test have a bell-shaped distribution with a
mean of 100 and a standard deviation of 15. Use the empirical rule
to determine the following.
(a) What percentage of people has an IQ score between 55 and
145?
(b) What percentage of people has an IQ score less than 85 or
greater than 115?
(c) What percentage of people has an IQ score greater
than130?

Scores of an IQ test have a bell-shaped
distribution with a mean of 100 and a standard deviation of 18.
Use the empirical rule to determine the following.
(a) What percentage of people has an IQ score between
64 and 136?
(b) What percentage of people has an IQ score less
than
64 or greater than 136?
(c) What percentage of people has an IQ score greater
than 136?

For the following, consider that IQ scores are normally
distributed with a mean of 100 and a standard deviation of 15.
Find the probability that a person has an IQ below 60
Find the probability that a randomly selected person has an IQ
between 60 and 85
Find the probability that a randomly selected person has an IQ
above 118.
Find the IQ score that cuts off the lower 25% of the population
from the upper 75%.
Find the probability...

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)...

Adults have a IQ scores that are normally distributed with a
mean of a 100 and a standard deviation of 15.
a) what percentage of scores are less than 103?
b) what percentage of scores are between 60 and 130?
c) what is the IQ score seperating the bottom 25% from the
rest?
thank you.

Scores of an IQ test have a bell-shaped distribution with a
mean of
100 and a standard deviation of 16.
Use the empirical rule to determine the following. (In the
answer do not write the % symbol).
(a) What percentage of people have an IQ score between 52 and
148?
%
(b) What percentage of people have an IQ score less than 84 or
greater than 116? %
(c) What percentage of people have an IQ score greater than
148? %
(d)...

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