Respuesta :
The expected error between the sample mean and the population mean is 3.
In this problem, we have been given :
population mean (μ) = 80,
standard deviation (σ) = 24,
sample size (n) = 64
We know that,
The Central Limit Theorem states that, for a normally distributed random variable X, with mean μ and standard deviation σ, the sampling distribution of the sample means with size n can be approximated to a normal distribution with mean μ and standard deviation, which is also called standard error [tex]s=\frac{\sigma}{\sqrt{n} }[/tex]
We need to find the error between the sample mean and the population mean.
standard error
= σ /√n
= 24 /√64
= 24 / 8
= 3
Therefore, the expected error between the sample mean and the population mean = 3
Learn more about the Central Limit Theorem here:
https://brainly.com/question/15404124
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