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values. Use ascending order of the sample medians. Sample Median Probability ▼ ▼ 7 1 ☐ ▼ 7 (Type integers or simplified 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. ▼ Y Sample Median Y 1 1 n 1 Y ▼ Y Probability T OA. The population median is equal to double the mean of the sample medians. OB. The population median is equal to the mean of the sample medians. OC. The population median is equal to half of the mean of the sample medians. OD. 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). c. Do the sample medians target the value of the population median? In general, do sample medians make unbiased estimators of population medians? Why or why not? OA. The sample medians target the population median, so sample medians are biased estimators, because the mean of the sample medians equals the population median. OB. The sample medians target the population median, so sample medians are unbiased estimators, because the mean of the sample medians equals the population median. OC. The sample medians do not target the population median, so sample medians are biased estimators, because the mean of the sample medians does not equal the population median OD. The sample medians do not target the population median, so sample medians are unbiased estimators, because the mean of the sample medians does not equal the population median.

values. Use ascending order of the sample medians. Sample Median Probability ▼ ▼ 7 1 ☐ ▼ 7 (Type integers or simplified 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. ▼ Y Sample Median Y 1 1 n 1 Y ▼ Y Probability T OA. The population median is equal to double the mean of the sample medians. OB. The population median is equal to the mean of the sample medians. OC. The population median is equal to half of the mean of the sample medians. OD. 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). c. Do the sample medians target the value of the population median? In general, do sample medians make unbiased estimators of population medians? Why or why not? OA. The sample medians target the population median, so sample medians are biased estimators, because the mean of the sample medians equals the population median. OB. The sample medians target the population median, so sample medians are unbiased estimators, because the mean of the sample medians equals the population median. OC. The sample medians do not target the population median, so sample medians are biased estimators, because the mean of the sample medians does not equal the population median OD. The sample medians do not target the population median, so sample medians are unbiased estimators, because the mean of the sample medians does not equal the population median.

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter10: Statistics
Section10.5: Comparing Sets Of Data
Problem 14PPS
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6 17 on 8 tion 9 K Assume population of 48, 52, 54, and 57. Assume that samples of size n=2 are randomly selected with replacement from the population. Listed below are the sixteen different samples. Complete parts (a) through (c). 48,48 48,52 54,52 48,57 54,57 54,48 values. Use ascending order of the sample medians. Sample Median Probability ▼ ▼ ▼ 48,54 54,54 1 □ D Sample Median ▼ ▼ ▼ ▼ Probability 0 1 n C 52,48 57,48 ▼ ▼ 0 (Type integers or simplified 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. 52,52 57,52 OA. A. The population median is equal to double the mean of the sample medians. OB. The population median is equal to the mean of the sample medians. OC. The population median is equal to half of the mean of the sample medians. OD. 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). 52,54 57,54 52,57 57,57 c. Do the sample medians target the value of the population median? In general, do sample medians make unbiased estimators of population medians? Why or why not? OA The sample medians target the population median, so sample medians are biased estimators, because the mean of the sample medians equals the population median. OB. The sample medians target the population median, so sample medians are unbiased estimators, because the mean of the sample medians equals the population median. OC. The sample medians do not target the population median, so sample medians are biased estimators, because the mean of the sample medians does not equal the population median. OD. The sample medians do not target the population median, so sample medians are unbiased estimators, because the mean of the sample medians does not equal the population median. O
Transcribed Image Text:6 17 on 8 tion 9 K Assume population of 48, 52, 54, and 57. Assume that samples of size n=2 are randomly selected with replacement from the population. Listed below are the sixteen different samples. Complete parts (a) through (c). 48,48 48,52 54,52 48,57 54,57 54,48 values. Use ascending order of the sample medians. Sample Median Probability ▼ ▼ ▼ 48,54 54,54 1 □ D Sample Median ▼ ▼ ▼ ▼ Probability 0 1 n C 52,48 57,48 ▼ ▼ 0 (Type integers or simplified 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. 52,52 57,52 OA. A. The population median is equal to double the mean of the sample medians. OB. The population median is equal to the mean of the sample medians. OC. The population median is equal to half of the mean of the sample medians. OD. 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). 52,54 57,54 52,57 57,57 c. Do the sample medians target the value of the population median? In general, do sample medians make unbiased estimators of population medians? Why or why not? OA The sample medians target the population median, so sample medians are biased estimators, because the mean of the sample medians equals the population median. OB. The sample medians target the population median, so sample medians are unbiased estimators, because the mean of the sample medians equals the population median. OC. The sample medians do not target the population median, so sample medians are biased estimators, because the mean of the sample medians does not equal the population median. OD. The sample medians do not target the population median, so sample medians are unbiased estimators, because the mean of the sample medians does not equal the population median. O
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