Question

question #10
suppose that for a graduating class of seniors at a local high school, the average gpa is 3.21. if a sampling distribution of size ( n = 20 ) is created from this population of seniors, what would be the expected mean of the sampling distribution?
1.67
3.21
0.72
0.161

Explanation:

Step1: Recall the property of the sampling distribution mean

The expected value of the sampling distribution of the sample mean $\mu_{\bar{x}}$ is equal to the population mean $\mu$.

Step2: Identify the population mean

Given that the population mean (average GPA of the graduating class) $\mu = 3.21$. Since $\mu_{\bar{x}}=\mu$, for a sample size $n = 20$, the expected mean of the sampling distribution is also 3.21.

Answer:

3.21