Question

Consider a study collecting data from a population with an unknown mean and standard deviation. If the sample mean and sample standard deviation are the same, what is the effect of increasing the sample size on the following measures? The measure can increase, decrease, not change, or more information may be needed.

Answer 1

Explanation:

Increasing the sample size in a particular study will bring about a decrease in the standard deviations of the means.

A decrease in the sample size for a particular study will bring about an increase in the standard deviations of the means.

Whereas the population mean of the distribution of sample means is the same as the population mean of the distribution being sampled from meaning that the population of the distribution of sample means never changes.