Question

IQ scores are normally distributed with a mean of 105 and a standard deviation of 15. Assume that many samples of size n are taken from a large population of people and the mean IQ score is computed for each sample

**a. If the sample size is n equals= 64, find the mean and
standard deviation of the distribution of sample
means.**

The mean of the distribution of sample means is: 105

**The standard deviation of the distribution of sample
means is ? (Type an integer or decimal rounded to the nearest tenth
as needed.)**

Answer #1

**Solution:** We know that the mean of the sampling
distribution of the mean is the mean of the population from which
the scores were sampled. Therefore, if a population has a mean
, then the mean of the sampling distribution of the mean is also
.
While the standard deviation of the sampling distribution of the
mean is the population standard deviation divided by , the sample
size.

Since we know that IQ scores are normally distributed with a mean of 105 and a standard deviation of 15.

Also we are give the sample size

**Therefore the standard deviation of the distribution of
sample means
**

IQ scores are normally distributed with a mean of 100 and a
standard deviation of 16. Assume that many samples of size n are
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computed for each sample. a. If the sample size is n=49, find the
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The mean of the distribution of sample mean is?

IQ
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Assume that adults have IQ scores that are normally distributed
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probability that a randomly selected adult has an IQ less than 120.
b. Find P90 , which is the IQ score separating the bottom 90% from
the top 10%. show work

Assume that adults have IQ scores that are normally distributed
with a mean of mu equals 105 and a standard deviation sigma equals
20. Find the probability that a randomly selected adult has an IQ
less than 129. Click to view page 1 of the table. LOADING... Click
to view page 2 of the table. LOADING... The probability that a
randomly selected adult has an IQ less than 129 is nothing. ?(Type
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IQ
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standard deviation of 15.
a) Find the IQ scores that represent the bottom 35%
. b) Find the IQ score that represents the 3rd Quartile
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Find the first quartile
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which is the IQ score separating the bottom 25% from the top
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The first quartile is
(Type an integer or decimal rounded to one decimal place as
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Assume that adults have IQ scores that are normally distributed
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and a standard deviation
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Find the first quartile
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The first quartile is
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(Type an integer or decimal rounded to one decimal place as
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