An ice company was in business for only 3 days. Here are the numbers of phone calls received on those days: 9,8,2. Assume that the samples of size 2 are randomly selected with replacement from this population of three values.

List the different possible samples and find the mean of each of them.

Sample Mean

9-9 ?

9-8 ?

9-2 ?

8-9 ?

8-8 ?

8-2 ?

2-9 ?

2-8 ?

2-2 ?

2) Identify the probability of each sample and describe the sampling distribution of sample means

x Probability

9 ?

8.5 ?

8 ?

5.5 ?

5 ?

2 ?

* Type an interger or fraction. Do not simplify

C ) Find the mean of the sampling distribution

u = * round to 2 decimal places as needed

D ) Is the mean of the sampling distribution ( from part C ) equal to the mean of the population of the three listed values? If so are those means always equal?