Question

The distribution of a particular IQ test scores for persons over
16 years of age is approximately Normal with mean 100 and standard
deviation 17.

What is the probability that the average IQ score of an SRS of 60
people is 104 or higher? (Round your answer to four decimal
places.)

Answer #1

Solution :

Given that ,

mean = = 100

standard deviation = = 17

n = 60

= 100

= / n =17 / 60 = 2.19

P( >104 ) = 1 - P( < 104)

= 1 - P[( - ) / < (104-100) / 2.19]

= 1 - P(z < 1.83)

Using z table

= 1 - 0.9664

= 0.0336

probability= 0.0336

The Wechsler Adult Intelligence Scale (WAIS) is a common IQ test
for adults. The distribution of WAIS scores for persons over 16
years of age is approximately normal with mean 100 and standard
deviation 15. Use the 68–95–99.7 rule to answer these
questions.
(a)
What is the probability that a randomly chosen individual has a
WAIS score of 115 or higher?
(b)
In what range do the scores of the middle 95% of the adult
population lie?

Suppose the scores on an IQ test approximately follow a normal
distribution with mean 100 and standard deviation 12. Use the
68-95-99.7 Rule to determine approximately what percentage of the
population will score between 100 and 124.

Scores of an IQ test have a bell-shaped distribution with a
mean of 100 and a standard deviation of 17. Use the empirical rule
to determine the following. (a) What percentage of people has an
IQ score between 83 and 117?
(b) What percentage of people has an IQ score less than 49 or
greater than 151?
(c) What percentage of people has an IQ score greater than
117?

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.
(a) What percentage of people has an IQ score between
68
and
132?
(b) What percentage of people has an IQ score less than
52
or greater than
148?
(c) What percentage of people has an IQ score greater than
132?

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.
(a) What percentage of people has an IQ score between 52 and
148 ?
(b) What percentage of people has an IQ score less than 84 or
greater than 116 ?
(c) What percentage of people has an IQ score greater than 116
?

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. (a) What percentage of people has an
IQ score between 84 and 116? (b) What percentage of people has an
IQ score less than 52 or greater than 148? (c) What percentage of
people has an IQ score greater than 116?

Scores of an IQ test have a bell-shaped distribution with a
mean of 100 and a standard deviation of 20. Use the empirical rule
to determine the following.
(a) What percentage of people has an IQ score between 40 and
160?
(b) What percentage of people has an IQ score less than 60 or
greater than 140?
(c) What percentage of people has an IQ score greater than
140?

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)...

Scores of an IQ test have a bell-shaped distribution with a
mean of 100
and a standard deviation of 20.
Use the empirical rule to determine the following.
(a) What percentage of people has an IQ score between 40 and
160?
(b) What percentage of people has an IQ score less than 40 or
greater than 160?
(c) What percentage of people has an IQ score greater than
120?

Scores of an IQ test have a bell-shaped distribution with a mean
of 100 and a standard deviation of 14. Use the empirical rule to
determine the following.
(a) What percentage of people has an IQ score between 72 and 128
?
(b) What percentage of people has an IQ score less than 86 or
greater than 114 ?
(c) What percentage of people has an IQ score greater than 128
?

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