For a population with µ = 80 and σ = 20,the distribution of sample means based on n = 16 will have an expected value of ____ and a standard error of ____.
A)5; 80
B)80; 5
C)20; 20
D)80; 1.25

Question

For a population with µ = 80 and σ = 20,the distribution of sample means based on n = 16 will have an expected value of ____ and a standard error of ____.​
A)​5; 80
B)​80; 5
C)​20; 20
D)​80; 1.25

Quizplus · Accepted Answer

The expected value of the distribution of sample means is equal to the mean of the population, which is 80.

The standard error of the distribution of sample means is equal to the standard deviation of the population divided by the square root of the sample size.

Thus,

SE = σ/√n 
SE = 20/√16 
SE = 5

Therefore, the correct answer is B: 80 for the expected value and 5 for the standard error.

For a Population with µ = 80 and σ =