Sampling Distributions of the Sample Means

Which of the following statements is correct?

• The mean of the sampling distribution of the means is greater   than the population mean.

• The mean of the sampling distribution of the sample means is less than the population mean.

• The means of the samples drawn from a population are always equal to the population mean.

• The means of the samples drawn from a population may be equal, less than or greater than the population mean.

A population consists of values 3,6,9, and 12. What is the population mean?

• 5.5

• 6.5

• 7.5

• 8.5

A sample consists of values 4, 8, 12, and 16. What is the sample mean?

• 10

• 11

• 12

• 13

If the population standard deviation of a dataset is 4, what is the population variance?

• 9

• 12

• 16

• 25

If the population variance of a set of data is 25, what is the population standard deviation?

• 5.0

• 5.5

• 6.0

• 6.5

If a population has a mean of 6.5, what is the mean of the sampling distribution of its means?

• 6.0

• 6.5

• 7.0

• 7.5

If a population has a mean of 15, what is the mean of the sampling distributions of its means?

• 10

• 15

• 20

• 25

If the mean of the sampling distribution of the means is 13.5, what is the mean of the population?

• 12.5

• 13.0

• 13.5

• 14.0