The following data gives the ages (in years) of all six members of a family 8 10

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Question:

The following data gives the ages (in years) of all six members of a family

8 10 12 50 55 69

a. Let X denote the age of a member of this family. Write the population probability distribution of x and calculate the mean for the population data.

b. list all the possible samples of size two (without replacement) that can be selected from this population. Calculate the mean for each of these samples. Write the sampling distribution of the sample mean.

c. Select one of the random samples of size 2 and compute the sampling error. Briefly explain the meaning of a sampling error.

d. Compare the mean of a population probability distribution with that of a sampling distribution.

e. Compare the dispersion in the population with that of the sample means.