Answer to Question #207761 in Statistics and Probability for Mary

Question

2. A certain population has a mean of 15.4 

and a standard deviation of 5.6. If random 

samples of size 5 is taken from this 

population, which of the following statements 

is correct?

a. The mean of the sampling distribution of 

the sample means is equal to 15.4.

b. The mean of the sampling distribution of 

the sample means is less than 15.4. 

c. The standard deviation of the sampling 

distribution of the sample means is 15.4.

d. The standard deviation of the sampling 

distribution of the sample means 5.6.

Answer 1

a. The mean of the sampling distribution of the sample means is equal to 15.4.

Because when we describe the sampling distribution of the sample means, we need to determine the mean of the sampling distribution of the sample means and compare this to the mean and variance of the given population.