In Exercises 110-140, use the population of {2, 3, 5, 9} of the lengths of hospital stay (days) of mothers who gave birth, found from Data Set 6 "Births" in Appendix B. Assume that random samples of size n = 2 are selected with replacement. 11. SAMPLING DISTRIBUTION OF THE SAMPLE MEAN a. After identifying the 16 different possible samples, find the mean of each sample, and then con- struct a table representing the sampling distribution of the sam- ple mean. In the table, combine values of the sample mean that are the same. (Hint: See Table 6- 3 in Example 2º.) b. Compare the mean of the popu- lation {2, 3, 5, 9} to the mean of the sampling distribution of the sample mean. c. Do the sample means target the value of the population mean? In general, do sample means make good estimators of population means? Why or why not?

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In Exercises 110-140, use the population of
{2, 3, 5, 9} of the lengths of hospital stay
(days) of mothers who gave birth, found
from Data Set 6 "Births" in Appendix B.
Assume that random samples of size n = 2
are selected with replacement.
11. SAMPLING DISTRIBUTION OF
THE SAMPLE MEAN
a. After identifying the 16 different
possible samples, find the mean
of each sample, and then con-
struct a table representing the
sampling distribution of the sam-
ple mean. In the table, combine
values of the sample mean that
are the same. (Hint: See Table 6-
3 in Example 20.)
b. Compare the mean of the popu-
lation {2, 3, 5, 9} to the mean of
the sampling distribution of the
sample mean.
c. Do the sample means target the
value of the population mean? In
general, do sample means make
good estimators of population
means? Why or why not?
Transcribed Image Text:In Exercises 110-140, use the population of {2, 3, 5, 9} of the lengths of hospital stay (days) of mothers who gave birth, found from Data Set 6 "Births" in Appendix B. Assume that random samples of size n = 2 are selected with replacement. 11. SAMPLING DISTRIBUTION OF THE SAMPLE MEAN a. After identifying the 16 different possible samples, find the mean of each sample, and then con- struct a table representing the sampling distribution of the sam- ple mean. In the table, combine values of the sample mean that are the same. (Hint: See Table 6- 3 in Example 20.) b. Compare the mean of the popu- lation {2, 3, 5, 9} to the mean of the sampling distribution of the sample mean. c. Do the sample means target the value of the population mean? In general, do sample means make good estimators of population means? Why or why not?
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