Question
In: Statistics and Probability
A person must score within the top 2% of the population on an IQ test to...
A person must score within the top 2% of the population on an IQ test to qualify for membership in Mensa, the international high-IQ society. There are 110,000 Mensa members in 100 countries throughout the world (Mensa International website, January 8, 2013). Assume IQ scores are normally distributed with a mean of 100 and a standard deviation of 12.
a. What is the probability that a randomly selected person has an
IQ less than 110?
b. What is the probability that a randomly selected person has an
IQ higher than 133?
c. What is the probability that a randomly selected person has an
IQ between 110 and 120?
d. What score must a person have to qualify for Mensa?
Solutions
orchestra answered 1 year agoRelated Solutions
A person must score in the upper 2% of the population on an IQ test to...
A person must score in the upper 2% of the population on an IQ
test to qualify for membership in Mensa, the international high-IQ
society. If IQ scores are normally distributed with a mean of 100
and a standard deviation of 15, what score must a person have to
qualify for Mensa?
Suppose a person must score in the upper 2.5% of the population on an IQ test...
Suppose a person must score in the upper 2.5% of the population
on an IQ test to qualify for membership in Mensa, the international
high-IQ society. If IQ scores are normally distributed with a mean
of 80 and a standard deviation of 22, what score must a person get
to qualify for Mensa? [15 pts.]
DO NOT SHOW WORK IN THE SPACE BELOW. You must
attach a document to question 6 showing your work for problems 3-5
in order to...
A person must score in the upper 2% of the population on an admissions test to...
A person must score in the upper 2% of the population on an
admissions test to qualify for membership in society catering to
highly intelligent individuals. If test scores are normally
distributed with a mean of 140 and a standard deviation of 15, what
is the minimum score a person must have to qualify for the society?
(Round your answer to the nearest integer.)
What IQ scores put a person in… (a) the top 1%? (b) the top 53% (c)...
What IQ scores put a person in… (a) the top 1%? (b) the top 53%
(c) the bottom 67%? (d) the bottom 34%? mean 100 and standard
deviation of 16
The score of IQ has a nominal distribution. Suppose the average IQ score is 110 and...
The score of IQ has a nominal distribution. Suppose the average
IQ score is 110 and the stanard deviation is 15
a. what si the IQ that is 1.5 stanadard deviation higer that the
average and what proportion of people exceed that score.
b. a person is selected at ransom. what is proportion that his/
her IQ score is between 95 and 140.
z 0.1587=1 z 0.0668= 1.5 z 0.0228=2
z 0.0013=3
You wish to test the claim that the average IQ score is less than 100 at...
You wish to test the claim that the average IQ score is less
than 100 at the .05 significance level. You determine the
hypotheses are:
Ho: μ=100
H1:μ<100
You take a simple random sample of 38 individuals and find the
mean IQ score is 95.8, with a standard deviation of 15.2. Let's
consider testing this hypothesis two ways: once with assuming the
population standard deviation is not known and once with assuming
that it is known.
Round to three decimal...
You wish to test the claim that the average IQ score is less than 100 at...
You wish to test the claim that the average IQ score is less
than 100 at the .05 significance level. You determine the
hypotheses are:
Ho: μ=100
H1:μ<100
You take a simple random sample of 38 individuals and find the
mean IQ score is 95.8, with a standard deviation of 15.2. Let's
consider testing this hypothesis two ways: once with assuming the
population standard deviation is not known and once with assuming
that it is known.
Round to three decimal...
You wish to test the claim that the average IQ score is less than 100 at...
You wish to test the claim that the average IQ score is less
than 100 at the .01 significance level. You determine the
hypotheses are:
Ho: μ=100
H1:μ<100
You take a simple random sample of 79 individuals and find the
mean IQ score is 96.1, with a standard deviation of 14.8. Let's
consider testing this hypothesis two ways: once with assuming the
population standard deviation is not known and once with assuming
that it is known.
Round to three decimal...
You wish to test the claim that the average IQ score is less than 100 at...
You wish to test the claim that the average IQ score is less
than 100 at the .025 significance level. You determine the
hypotheses are:
Ho: μ=100
H1:μ<100
You take a simple random sample of 60 individuals and find the
mean IQ score is 95.7, with a standard deviation of 16. Let's
consider testing this hypothesis two ways: once with assuming the
population standard deviation is not known and once with assuming
that it is known.
Round to three decimal...
You wish to test the claim that the average IQ score is less than 100 at...
You wish to test the claim that the average IQ score is less
than 100 at the .05 significance level. You determine the
hypotheses are:
Ho: μ=100Ho: μ=100
H1:μ<100H1:μ<100
You take a simple random sample of 48 individuals and find the
mean IQ score is 97.3, with a standard deviation of 14.6. Let's
consider testing this hypothesis two ways: once with assuming the
population standard deviation is not known and once with assuming
that it is known.
Round to three...
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