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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.

Holt Mcdougal Larson Pre-algebra: Student Edition 2012
Holt Mcdougal Larson Pre-algebra: Student Edition 2012
1st Edition
ISBN:9780547587776
Author:HOLT MCDOUGAL
Publisher:HOLT MCDOUGAL
Chapter11: Data Analysis And Probability
Section11.4: Collecting Data
Problem 6E
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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.
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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