Question

question 24 (2 points) listen we know that as samples get large enough, the sampling distribution will be normally distributed with a mean equivalent to the population mean, and the standard deviation will be \\(\sigma_{\overline{x}} = \frac{s}{\sqrt{n}}\\). this is the result of which theorem?

Explanation:

This theorem states that for sufficiently large sample sizes, the sampling distribution of the sample mean will approach a normal distribution, regardless of the population's distribution, with mean equal to the population mean and standard error (standard deviation of the sampling distribution) given by $\frac{s}{\sqrt{n}}$ (using sample standard deviation $s$ as an estimate for population standard deviation $\sigma$).

Answer:

Central Limit Theorem