Question: A particular IQ test is standardized to a Normal model, with a mean of 100100 and a standard deviation of 1919. Question content area bottom
A particular IQ test is standardized to a Normal model, with a mean of
100100
and a standard deviation of
1919.
Question content area bottom
Part 1
a) Choose the model for these IQ scores that correctly shows what the 68-95-99.7 rule predicts about the scores.
A.
font size decreased by 3 119119
font size decreased by 2 mu plus sigma+
font size decreased by 2 mu plus 2 sigma+2
font size decreased by 2 mu plus 3 sigma+3
font size decreased by 2 mu minus sigma
font size decreased by 2 mu minus 2 sigma2
font size decreased by 2 mu minus 3 sigma3
font size decreased by 2 mu
font size decreased by 3 138138
font size decreased by 3 100100
font size decreased by 3 157157
font size decreased by 3 8181
font size decreased by 3 6262
font size decreased by 3 176176
68%95%99.7%
A bell-shaped curve with horizontal axis from less than 62 to 176 plus in intervals of 19 begins close to the horizontal axis, increases at an increasing and then decreasing rate to its maximum at 119, labeled "mu," and decreases at an increasing and then decreasing rate approaching the horizontal axis. The curve is symmetric. The area below the curve is subdivided into regions by the intervals as follows: the region from mu minus sigma, 100, to mu plus sigma, 138, is labeled "68%"; the region from mu minus 2 times sigma, 81, to mu plus 2 times sigma, 157, is labeled "95%"; the region from mu minus 3 times sigma, 62, to mu plus 3 times sigma, 176, is labeled "99.7%."
B.
font size decreased by 3 100100
font size decreased by 2 mu plus sigma+
font size decreased by 2 mu plus 2 sigma+2
font size decreased by 2 mu plus 3 sigma+3
font size decreased by 2 mu minus sigma
font size decreased by 2 mu minus 2 sigma2
font size decreased by 2 mu minus 3 sigma3
font size decreased by 2 mu
font size decreased by 3 119119
font size decreased by 3 8181
font size decreased by 3 138138
font size decreased by 3 6262
font size decreased by 3 4343
font size decreased by 3 157157
68%95%99.7%
A bell-shaped curve with horizontal axis from less than 43 to 157 plus in intervals of 19 begins close to the horizontal axis, increases at an increasing and then decreasing rate to its maximum at 100, labeled "mu," and decreases at an increasing and then decreasing rate approaching the horizontal axis. The curve is symmetric. The area below the curve is subdivided into regions by the intervals as follows: the region from mu minus sigma, 81, to mu plus sigma, 119, is labeled "68%"; the region from mu minus 2 times sigma, 62, to mu plus 2 times sigma, 138, is labeled "95%"; the region from mu minus 3 times sigma, 43, to mu plus 3 times sigma, 157, is labeled "99.7%."
C.
font size decreased by 3 100100
font size decreased by 2 mu plus sigma+
font size decreased by 2 mu plus 2 sigma+2
font size decreased by 2 mu plus 3 sigma+3
font size decreased by 2 mu minus sigma
font size decreased by 2 mu minus 2 sigma2
font size decreased by 2 mu minus 3 sigma3
font size decreased by 2 mu
font size decreased by 3 119119
font size decreased by 3 8181
font size decreased by 3 138138
font size decreased by 3 6262
font size decreased by 3 4343
font size decreased by 3 157157
68%95%99.7%
A bell-shaped curve with horizontal axis from less than 43 to 157 plus in intervals of 19 begins close to the horizontal axis, increases at an increasing and then decreasing rate to its maximum at 100, labeled "mu," and decreases at an increasing and then decreasing rate approaching the horizontal axis. The curve is symmetric. The area below the curve is subdivided into regions by the intervals as follows: the region from mu minus sigma, 81, to mu plus sigma, 119, is labeled "99.7%"; the region from mu minus 2 times sigma, 62, to mu plus 2 times sigma, 138, is labeled "95%"; the region from mu minus 3 times sigma, 43, to mu plus 3 times sigma, 157, is labeled "68%."
Part 2
b) In what interval would you expect the central
6868%
of the IQ scores to be found?
Using the 68-95-99.7 rule, the central
6868%
of the IQ scores are between
enter your response here
and
enter your response here.
(Type integers or decimals. Do not round.)
Part 3
c) About what percent of people should have IQ scores above
157157?
Using the 68-95-99.7 rule, about
enter your response here%
of people should have IQ scores above
157157.
(Type an integer or a decimal. Do not round.)
Part 4
d) About what percent of people should have IQ scores between
6262
and
8181?
Using the 68-95-99.7 rule, about
enter your response here%
of people should have IQ scores between
6262
and
8181.
(Type an integer or a decimal. Do not round.)
Part 5
e) About what percent of people should have IQ scores above
138138?
Using the 68-95-99.7 rule, about
enter your response here%
of people should have IQ scores above
138138.
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