Three randomly selected households are surveyed. The numbers of people in the households are 4, 5, and 9. Assume that samples of sizen=2 are randomly selected with replacement from the population of 4, 5, and 9. Listed below are the nine diff Prin samples. Complete parts (a) through (c). 4,4 4,5 4,9 5,4 5,5 5,9 9,4 9,5 9,9 O a. Find the median of each of the nine samples, then summarize the sampling distribution of the medians in the format of a table representing the probability distribution of the distinct median values. Sample Median (1) Probability (2) (3) (4) (5) (6) (Type integers or fractions. Use ascending order of the sample medians.) b. Compare the population median to the mean of the sample medians. Choose the correct answer below. O A. The population median is equal to half of the mean of the sample medians. O B. The population median is not equal to the mean of the sample medians (it is also not half or double the mean of the sample medians). OC. The population median is equal to the mean of the sample medians. O D. The population median is equal to double the mean of the sample medians. c. Do the sample medians target the value of the population median? In general, do sample medians make good estimators of population medians? Why or why not? O A. The sample medians do not target the population median, so sample medians do not make good estimators of population medians. O B. The sample medians do not target the population median, so sample medians make good estimators of population medians. OC. The sample medians target the population median, so sample medians make good estimators of population medians. O D. The sample medians target the population median, so sample medians do not make good estimators of population medians.
Three randomly selected households are surveyed. The numbers of people in the households are 4, 5, and 9. Assume that samples of sizen=2 are randomly selected with replacement from the population of 4, 5, and 9. Listed below are the nine diff Prin samples. Complete parts (a) through (c). 4,4 4,5 4,9 5,4 5,5 5,9 9,4 9,5 9,9 O a. Find the median of each of the nine samples, then summarize the sampling distribution of the medians in the format of a table representing the probability distribution of the distinct median values. Sample Median (1) Probability (2) (3) (4) (5) (6) (Type integers or fractions. Use ascending order of the sample medians.) b. Compare the population median to the mean of the sample medians. Choose the correct answer below. O A. The population median is equal to half of the mean of the sample medians. O B. The population median is not equal to the mean of the sample medians (it is also not half or double the mean of the sample medians). OC. The population median is equal to the mean of the sample medians. O D. The population median is equal to double the mean of the sample medians. c. Do the sample medians target the value of the population median? In general, do sample medians make good estimators of population medians? Why or why not? O A. The sample medians do not target the population median, so sample medians do not make good estimators of population medians. O B. The sample medians do not target the population median, so sample medians make good estimators of population medians. OC. The sample medians target the population median, so sample medians make good estimators of population medians. O D. The sample medians target the population median, so sample medians do not make good estimators of population medians.
MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
Section: Chapter Questions
Problem 1P
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Transcribed Image Text:Three randomly selected households are surveyed. The numbers of people in the households are 4, 5, and 9. Assume that samples of sizen=2 are randomly selected with replacement from the population of 4, 5, and 9. Listed below are the nine diff Prin
samples. Complete parts (a) through (c).
4,4 4,5 4,9 5,4 5,5 5,9 9,4 9,5 9,9 O
a. Find the median of each of the nine samples, then summarize the sampling distribution of the medians in the format of a table representing the probability distribution of the distinct median values.
Sample Median
(1)
Probability
(2)
(3)
(4)
(5)
(6)
(Type integers or fractions. Use ascending order of the sample medians.)
b. Compare the population median to the mean of the sample medians. Choose the correct answer below.
O A. The population median is equal to half of the mean of the sample medians.
O B. The population median is not equal to the mean of the sample medians (it is also not half or double the mean of the sample medians).
OC. The population median is equal to the mean of the sample medians.
O D. The population median is equal to double the mean of the sample medians.
c. Do the sample medians target the value of the population median? In general, do sample medians make good estimators of population medians? Why or why not?
O A. The sample medians do not target the population median, so sample medians do not make good estimators of population medians.
O B. The sample medians do not target the population median, so sample medians make good estimators of population medians.
OC. The sample medians target the population median, so sample medians make good estimators of population medians.
O D. The sample medians target the population median, so sample medians do not make good estimators of population medians.
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