Question

**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.)**

Answer #1

= 100 and = 15

Using the z score to calculate

A) Percentage of people with an 55<IQ<145

z at IQ=55

z at IQ = 145

Using the z table,

Area(-3<z<3) = 0.99865-0.00135=
**99.73%**

B) Percentage of people with an IQ<85 or IQ>115

z at IQ=85

z at IQ = 115

Using the z table,

Area(z<-1 or z>1) = 0.15866 + (1-0.84134) =
**31.73%**

C) Percentage of people with an IQ>145

z at IQ = 145

Using the z table,

Area(z>3) =1-0.99865= **0.13%**

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 14. Use the empirical rule to
determine the following.
A.) What percentage of people has an IQ score between 86 and
114?
B,) What percentage of people has an IQ score less than 72 or
greater than 128?
C.) What percentage of people has an IQ score greater than
142?
A.) ____% (Type an integer or a decimal).
B.) ____ %...

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?

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
?

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 80 or
greater than 120?
(c) What percentage of people has an IQ score greater than
160?

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 19. Use the empirical rule
to determine the following. (a) What percentage of people has an
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IQ score less than 62 or greater than 138? (c) What percentage of
people has an IQ score greater than 138?

Scores of an IQ test have a bell-shaped distribution with a
mean of
100
and a standard deviation of
12
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
88
or greater than
112?
(c) What percentage of people has an IQ score greater than
136?

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
80
and
120
(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

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