A population has a standard deviation of 16. If a sample of size 64 is selected from this population, what is the probability that the sample mean will be within 2 of the population mean?
A)0.6826
B)0.3413
C)-0.6826
D)Since the mean is not given, there is no answer to this question.

Question

A population has a standard deviation of 16. If a sample of size 64 is selected from this population, what is the probability that the sample mean will be within  2 of the population mean?
A)0.6826 
B)0.3413 
C)-0.6826 
D)Since the mean is not given, there is no answer to this question.

Quizplus · Accepted Answer

The probability that the sample mean will be within 2 standard errors of the population mean is approximately 68.26% according to the 68-95-99.7 rule. The standard error is calculated as 16/sqrt(64) = 2. Therefore, the probability is 0.6826.

A Population Has a Standard Deviation of 16