Question

is the statement below true or false?
the distribution of the sample mean, \\( \overline { x } \\), will be normally distributed if the sample is obtained from a population that is normally distributed, regardless of the sample size.
choose the correct answer below.
false
true

Explanation:

According to the properties of the sampling distribution of the sample mean, if the population is normally distributed, then the sampling distribution of the sample mean \(\bar{x}\) is normally distributed for any sample size \(n\). This is a fundamental result in statistics.

Answer:

True