If all possible samples of size n are drawn from an infinite population with a mean of 60 and a standard deviation of 8, then the standard error of the sample mean equals 1.0 only for samples of size 64.

Question

Quizplus · Accepted Answer

The formula for standard error of the sample mean is standard deviation / square root of sample size.

Therefore, for a population with standard deviation of 8:

- If the sample size is n = 64, the standard error is 8 / sqrt(64) = 1. 
- For any other sample size, the standard error will be lower or higher than 1.

Hence, the statement is true.

If All Possible Samples of Size N Are Drawn from an Infinite