Mean of the Sampling Distribution of the Sample Mean

What is the role of a sampling distribution in statistics?

• It enables researchers to approximate population parameters without examining every individual.
  
  

• It consistently yields the precise population mean.

• It removes all data variability.
  
  

• It guarantees that every member of the population is included in the measurement.

Which of the following is TRUE about the mean of the sampling distribution?

• It's always larger than the population mean.

• It's always smaller than the population mean.

• It equals the population mean.

• It has no relationship to the population mean.

In what way do you determine the mean of a sampling distribution of the sample mean?

• Sum all population values and divide by the sample size.

• Compute the average of all potential sample means.
  
  

• Multiply the number of samples by the population mean.
  
  

• Sum all sample means and divide by the total number of samples.

A school administrator wants to estimate the average number of study hours among senior high school students. She randomly selects samples of 4 students and records their study hours. The population mean study time is 6 hours. What is the mean of the sampling distribution of the sample mean?

• 4 hours                     

• 5 hours       

• 6 hours    

• 7 hours

A population consists of three numbers (3,4,7). Consider all possible samples of size 2 which can be drawn from the  population. Find the mean of the sampling distribution of the sample means.

• 6

• 7

• 8

• 10