Samples of n = 16 scores are selected from a population.If the distribution of sample means has an expected value of 40 and a standard error of 2,what are the mean and the standard deviation for the population?
A)µ = 40 and σ = 2
B)µ = 40 and σ = 8
C)µ = 40 and σ = 32
D)µ = 160 and σ = 2

Question

Quizplus · Accepted Answer

The expected value of the distribution of sample means equals the population mean (µ), so µ = 40. The standard error of the distribution of sample means is the standard deviation of the population divided by the square root of the sample size. Thus, standard deviation of the population (σ) = standard error * square root of sample size = 2 * sqrt(16) = 8. Therefore, choice B is the correct answer.

Samples of N = 16 Scores Are Selected from a Population.If