If all possible samples of size n are drawn from an infinite population with a mean of 20 and a standard deviation of 5,then the standard error of the sampling distribution of sample means is equal to 1.0 only for samples of size:
A)5
B)15
C)20
D)25

Question

Quizplus · Accepted Answer

The standard error of the sampling distribution of sample means is calculated using the formula: SE = σ / √n, where σ is the population standard deviation and n is the sample size. Given σ = 5, and for SE to be 1.0, the equation is 1 = 5 / √n. Solving for n gives n = 25.

If All Possible Samples of Size N Are Drawn from an Infinite