a. List the 9 different possible samples, and find the mean of each sample. b. What is the mean of the sample means from part (a)? c. Is the mean of the sampling distribution from part (b) equal to the mean of the population of the three listed values? Are those means always equal?

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19. Sampling Distribution. A quarterback threw 1 interception in
his first game, 2 interceptions in his second game, and 5 inter-
ceptions in his third game, and then he retired. Consider the
values 1, 2, and 5 to be a population. Assume that samples of size
2 are randomly selected (with replacement) from the population.
a. List the 9 different possible samples, and find the mean of
each sample.
b. What is the mean of the sample means from part (a)?
c. Is the mean of the sampling distribution from part (b) equal
to the mean of the population of the three listed values? Are
those means always equal?
Transcribed Image Text:19. Sampling Distribution. A quarterback threw 1 interception in his first game, 2 interceptions in his second game, and 5 inter- ceptions in his third game, and then he retired. Consider the values 1, 2, and 5 to be a population. Assume that samples of size 2 are randomly selected (with replacement) from the population. a. List the 9 different possible samples, and find the mean of each sample. b. What is the mean of the sample means from part (a)? c. Is the mean of the sampling distribution from part (b) equal to the mean of the population of the three listed values? Are those means always equal?
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