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MAXImum [283]
3 years ago
7

Suppose the population of IQ scores in the town or city where you live is bell-shaped, with a mean of 104 and a standard deviati

on of 35. Describe the frequency curve for possible sample means that would result from random samples of 100 IQ scores.
Mathematics
1 answer:
SVEN [57.7K]3 years ago
6 0

Answer:

The mean of samples of 100 IQ scores taken out from this population will have a distribution with mean M=104 and standard deviation s=3.5.  

Step-by-step explanation:

We know the population mean and standard deviation, that has a bell-shaped distribution:

\mu=104\\\\\sigma=35

The sampling distribution, the distribution of the mean of samples of size n out of this population, will have the same mean as the population mean.

\mu_M=\mu=104

The standard deviation will be related to the population standard deviation and the sample size as:

\sigma_M=\frac{\sigma}{\sqrt{N}} =\frac{35}{\sqrt{100}}=3.5

Then, the mean of samples of 100 IQ scores taken out from this population will have a distribution with mean M=104 and standard deviation s=3.5.  

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