A random sample of size 36 is taken from a population with mean µ = 17 and standard deviation σ = 6. What are the expected value and the standard deviation for the sampling distribution of the sample mean?
A) 0.425 and 1.00
B) 0.425 and 2.83
C) 17 and 1.00
D) 17 and 2.83

Question

Quizplus · Accepted Answer

The expected value of the sampling distribution of the sample mean is equal to the population mean, which is 17. The standard deviation of the sampling distribution (standard error) is the population standard deviation divided by the square root of the sample size: 6/√36 = 1.00.

A Random Sample of Size 36 Is Taken from a Population