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quintinlarrieu
07.04.2020 •
Mathematics
A sample of n = 16 scores is selected from a population with LaTeX: \muμ = 80 with LaTeX: \sigmaσ = 20. On average, how much error would be expected between the sample mean and the population mean?
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Ответ:
5
Step-by-step explanation:
The Central Limit Theorem estabilishes that, for a normally distributed random variable X, with mean
and standard deviation
, the sampling distribution of the sample means with size n can be approximated to a normal distribution with mean
and standard deviation
.
For a skewed variable, the Central Limit Theorem can also be applied, as long as n is at least 30.
In this problem, we have that:
On average, how much error would be expected between the sample mean and the population mean?
This is the standard deviation of the sample. We have that
. So
The answer is 5.
Ответ: