Here are three statements about the sampling distribution of the sample mean. Which of the three...
Here are three statements about the sampling distribution of the sample mean. Which of the three statements is/are true?
1. As we raise the sample size n, the sampling distribution of the sample mean has a smaller standard deviation.
2. Regardless of the sample size n, the sampling distribution of the sample mean has mean equal to the population mean.
3. The sampling distribution of the sample mean will always have the same shape as the population distribution.
Homework Answers
Answer : option ( 2 )
Regardless of the sample size n, the sampling distribution of the sample mean has mean equal to the population mean
because 
= 
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