객관식
If an observation has a z-score of , which of the following is true?
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3. Describing Data Numerically
Standard Deviation
객관식
The standard deviation of the distribution of sample means is .
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검증된 단계별 안내1
Understand that the problem is asking for the standard deviation of the distribution of sample means, which is also known as the standard error of the mean.
Recall that the standard deviation of the population is denoted by \(\sigma\) and the sample size is \(n\).
The formula for the standard deviation of the sampling distribution of the sample mean is given by dividing the population standard deviation by the square root of the sample size.
Express this relationship mathematically as: \(\frac{\sigma}{\sqrt{n}}\).
Recognize that this formula shows how the variability of the sample mean decreases as the sample size increases.
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