19. Sampling Distribution. A quarterback threw 1 interception inhis first game, 2 interceptions in his second game, and 5 inter-ceptions in his third game, and then he retired. Consider thevalues 1, 2, and 5 to be a population. Assume that samples of size2 are randomly selected (with replacement) from the population.a. List the 9 different possible samples, and find the mean ofeach sample.b. What is the mean of the sample means from part (a)?c. Is the mean of the sampling distribution from part (b) equalto the mean of the population of the three listed values? Arethose means always equal?

Answered: Image /qna-images/answer/69d8ad3c-6753-4b26-a399-7381afcfb316.jpg

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?

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?

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018

18th Edition

ISBN:9780079039897

Author:Carter

Publisher:Carter

Chapter10: Statistics

Section10.4: Distributions Of Data

Problem 19PFA

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Question

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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