Question
In: Statistics and Probability
a) It is often assumed that IQ scores follow a bell shaped distribution with a mean...
a) It is often assumed that IQ scores follow a bell shaped distribution with a mean if 100 and a standard deviation of 16 approximately. Assuming that the distribution is bell shaped, what proportion of individuals will score between 80 and 120? (Report as 0.6834 if the answer is 68.34%)
b) If the distribution was NOT bell shaped, then use Chebychev's inequality to determine the proportion of individuals who would have an IQ between 80 and 120. (Report the number as 0.6722 if the answer was 67.22%.)
Solutions
orchestra answered 2 years agoRelated Solutions
Scores of an IQ test have a bell-shaped distribution with a mean of 100 and a...
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 49 and 151? (b) What percentage of people has an
IQ score less than 83 or greater than 117? (c) What percentage of
people has an IQ score greater than 151?
Scores of an IQ test have a bell-shaped distribution with a mean of 100 and a...
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 88 and 112? (b) What percentage of people has an
IQ score less than 76 or greater than 124? (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...
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 70 and
130?
(b) What percentage of people has an IQ score less than 55 or
greater than 145?
(c) What percentage of people has an IQ score greater than 115?
Scores of an IQ test have a bell-shaped distribution with a mean of 100 and a...
Scores of an IQ test have a bell-shaped distribution with a
mean of
100
and a standard deviation of
13
Use the empirical rule to determine the following.
(a) What percentage of people has an IQ score between
87
and
113?
(b) What percentage of people has an IQ score less than
74
or greater than
126?
(c) What percentage of people has an IQ score greater than
126?
Scores of an IQ test have a bell-shaped distribution with a mean of 100 and a...
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
IQ score between 62 and 138? (b) What percentage of people has an
IQ score less than 43 or greater than 157? (c) What percentage of
people has an IQ score greater than 138? (a) 95% (Type an
integer or a decimal.)
Scores of an IQ test have a bell-shaped distribution with a mean of 100100 and a...
Scores of an IQ test have a bell-shaped distribution with a
mean of
100100 and a standard deviation of1919.
Use the empirical rule to determine the following.
(a) What percentage of people has an IQ score between 6262
and138138?
(b) What percentage of people has an IQ score less than4343or
greater than157157?
(c) What percentage of people has an IQ score greater than
138138?
Scores of an IQ test have a bell-shaped distribution with a mean of 100 and a...
Scores of an IQ test have a bell-shaped distribution with a
mean of 100 and a standard deviation of 13.
Use the empirical rule to determine the following.
(a) What percentage of people has an IQ score between 87 and
113?
(b) What percentage of people has an IQ score less than 87 or
greater than 113?
(c) What percentage of people has an IQ score greater than
139?
Scores of an IQ test have a bell-shaped distribution with a mean of 100 and a...
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 154?
Scores of an IQ test have a bell-shaped distribution with a mean of 100 and a...
Scores of an IQ test have a bell-shaped distribution with a
mean of 100 and a standard deviation of 13. Use the empirical rule
to determine the following.
(a) What percentage of people has an IQ score between 61 and
139?
(b) What percentage of people has an IQ score less than 74 or
greater than 126?
(c) What percentage of people has an IQ score greater than 113?
Scores of an IQ test have a bell-shaped distribution with a mean of 100 and a...
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 82 and
118?
(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
118?
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