Question
In: Statistics and Probability
IQ scores (as measured by the Stanford-Binet intelligence test) are normally distributed with a mean of...
IQ scores (as measured by the Stanford-Binet intelligence test) are normally distributed with a mean of 95 and a standard deviation of 14. Find the approximate number of people in the United States (assuming a total population of 280,000,000) with an IQ higher than 126. (Round your answer to the nearest hundred thousand.) How many People?
Also please explain thoroughly and where the 0.5 and the other decimal number come from. Thanks in advance!
Solutions
Expert Solution
Solution:
Value from z-table:
In-case of any other doubt, please comment.
orchestra answered 1 year agoRelated Solutions
IQ scores (as measured by the Stanford-Binet intelligence test) are normally distributed with a mean of...
IQ scores (as measured by the Stanford-Binet intelligence test)
are normally distributed with a mean of 100 and a standard
deviation of 16. What percentage of the population has an IQ score
between 110 and 124? (Round your answer to the nearest percentage
point.)
Scores on the Stanford-Binet Intelligence Test (IQ) are normally distributed with mean µ = 100 and...
Scores on the Stanford-Binet Intelligence Test (IQ) are
normally distributed with mean
µ = 100 and standard deviation σ
= 16.
If a random sample of 49 individuals are selected, calculate the
probability that the sample mean IQ is less than 96. (round your
answer to the nearest four decimal places)
Stanford–Binet IQ Test scores are normally distributed with a mean score of 100 and a standard...
Stanford–Binet IQ Test scores are normally distributed with a
mean score of 100 and a standard deviation of 18. (b) Write the
equation that gives the z score corresponding to a Stanford–Binet
IQ test score. z = (x – 100 ) / 18 (c) Find the probability that a
randomly selected person has an IQ test score. (Round your answers
to 4 decimal places.) 1. P(x > 135) 2. P(x < 89) 3. P(71 <
x < 129) − =...
Stanford–Binet IQ Test scores are normally distributed with a mean score of 100 and a standard...
Stanford–Binet IQ Test scores are normally distributed with a
mean score of 100 and a standard deviation of 18. (b) Write the
equation that gives the z score corresponding to a Stanford–Binet
IQ test score. z = (x – 100 ) / 18 (c) Find the probability that a
randomly selected person has an IQ test score. (Round your answers
to 4 decimal places.) 1. P(x > 135) 2. P(x < 89) 3. P(71 <
x < 129) − =...
Stanford–Binet IQ Test scores are normally distributed with a mean score of 100 and a standard...
Stanford–Binet IQ Test scores are normally distributed with a
mean score of 100 and a standard deviation of 11. (b) Write the
equation that gives the z score corresponding to a Stanford–Binet
IQ test score. z = (x – 100 ) / 11 (c) Find the probability that a
randomly selected person has an IQ test score. (Round your answers
to 4 decimal places.) 1. P(x > 134) .001 2. P(x < 80) .0345
3. P(84 < x < 116)...
The Intelligence Quotient (IQ) test scores are normally distributed with a mean of 100 and a...
The Intelligence Quotient (IQ) test scores are normally
distributed with a mean of 100 and a standard deviation of 15.
What is the probability that a person would score 130 or more on
the test?
A..0200
B..0500
C..0228
D..0250
What is the probability that a person would score between 85 and
115?
A..6826
B..6800
C..3413
D..6587
Suppose that you enrolled in a class of 36 students, what is the
probability that the class’ average IQ exceeds 130?
A.
almost zero...
The Intelligence Quotient (IQ) test scores are normally distributed with a mean of 100 and a...
The Intelligence Quotient (IQ) test scores are normally
distributed with a mean of 100 and a standard deviation of
15. What is the probability that a person score would be
grater than 140?
The Intelligence Quotient (IQ) test scores are normally distributed with a mean of 100 and a...
The Intelligence Quotient (IQ) test scores are normally
distributed with a mean of 100 and a standard deviation of 15 What
is the probability that a person would score between 85 and
115?
The Intelligence Quotient (IQ) test scores are normally distributed with a mean of 100 and a...
The Intelligence Quotient (IQ) test scores are normally
distributed with a mean of 100 and a standard deviation of
15. Given a class with 12 students, what is the
probability that the class' average IQ score is less than
115?
Question 2: (Marks: 2) Intelligence quotients (IQs) on the Stanford-Binet intelligence test are normally distributed with...
Question 2: (Marks: 2)
Intelligence quotients (IQs) on the Stanford-Binet intelligence
test are normally distributed with a mean of 100 and a standard
deviation of 16. In Exercises a–d, use the 68–95–99.7 Rule to find
the percentage of people with IQs
between 84 and 116
between 84 and 100
above 132
below 68
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