Question

Consider a random sample with sample mean x. If the sample size increased from n = 40 to n = 360, then the standard deviation of x will:

a. remain the same

b. increase by a factor of 9 (will be multiplied by 9)

c. decrease by a factor of 9 (will be multiplied by 1/9)

d. decrease by a factor of 3 (will be multiplied by 1/3)

Answer 1

Assuming that you are referring to the standard deviation and not the standard error of the mean, the standard deviation will remain essentially the same.