Given N = 1,000, n = 30, and = 6, the standard error of the sample mean, SE , equals:
A) .009
B) .5
C) 5.5
D) 1.095
E) 33.33

Question

Given N = 1,000, n = 30, and  = 6, the standard error of the sample mean, SE  , equals:
A) .009 
B) .5 
C) 5.5 
D) 1.095 
E) 33.33

Quizplus · Accepted Answer

The formula for the standard error of the sample mean is SE = (standard deviation of the population) / sqrt(sample size). We are not given the standard deviation of the population, so we will have to estimate it using the sample standard deviation. Assuming the sample is a representative sample of the population, we can use the sample standard deviation as an estimate of the population standard deviation.

Using the formula, we get:

SE = (sample standard deviation) / sqrt(sample size)
SE = 11eb6b9e_065e_738f_8d9d_4df1a49bc26c_TB8220_11 / sqrt(30)
SE = 1.095

Therefore, the answer is D) 1.095.

Given N = 1,000, N = 30, and =