# Question

An investor is considering six different money market funds. The average number of days to maturity for each of these funds is as follows:

41, 39, 35, 35, 33, 38

Two of these funds are to be chosen at random.

a. How many possible samples of two funds are there?

b. List all possible samples.

c. Find the probability function of the sampling distribution of the sample means.

d. Verify directly that the mean of the sampling distribution of the sample means is equal to the population mean.

41, 39, 35, 35, 33, 38

Two of these funds are to be chosen at random.

a. How many possible samples of two funds are there?

b. List all possible samples.

c. Find the probability function of the sampling distribution of the sample means.

d. Verify directly that the mean of the sampling distribution of the sample means is equal to the population mean.

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