Three randomly selected households are surveyed. The numbers of people in the households are 2, 4, and 12. Assume that samples of size n=2 are randomly selected with replacement from the population of 2, 4, and 12. Listed below are the nine different samples. Complete parts (a) through (c). 22,22 22,44 22,1212 44,22 44,44 44,1212 1212,22 1212,44 1212,1212 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 Probability ▼ nothing ▼ 4 6 3 nothing ▼ 8 4 6 nothing ▼ 10 14 7 nothing ▼ 8 16 13 nothing ▼ 12 18 24 nothing (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. A. The population median is equal to the mean of the sample medians. B. The population median is equal to double the mean of the sample medians. C. The population median is equal to half of the mean of the sample medians. D. 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 good estimators of population medians? Why or why not? A. The sample medians do not target the population median, so sample medians do not make good estimators of population medians. B. The sample medians target the population median, so sample medians do not make good estimators of population medians. C. The sample medians do not target the population median, so sample medians make good estimators of population medians. D. The sample medians target the population median, so sample medians make good estimators of population medians. Click to select your answer(s).
sample | |
median | probability |
2 | 1/9 |
3 | 2/9 |
4 | 1/9 |
7 | 2/9 |
8 | 2/9 |
12 | 1/9 |
D. 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).
A. The sample medians do not 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 2, 4,...
Three randomly selected households are surveyed. The numbers of people in the households are 2, 4, and 12. Assume that samples of size n=2 are randomly selected with replacement from the population of 2, 4, and 12. Listed below are the nine different samples. Complete parts (a) through (c). 22,22 22,44 22,1212 44,22 44,44 44,1212 1212,22 1212,44 1212,1212 a. Find the median of each of the nine samples, then summarize the sampling distribution of the medians in the format of...
Someone can help here explaining in an organized and easy way. Three randomly selected households are surveyed. The numbers of people in the households are 1, 4, and 10' Assume that samples of size n 2 are randomly selected with replacement from the population of 1, 4, and 10. Construct a probability distribution table that describes the sampling distribution of the proportion of even numbers when samples o sizes n = 2 are randomly selected Does he mean o the...
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Three randomly selected households are surveyed. The numbers of people in the households are 1, 4, and 10. Assume that samples of size nequals2 are randomly selected with replacement from the population of 1, 4, and 10. Construct a probability distribution table that describes the sampling distribution of the proportion of even numbers when samples of sizes nequals2 are randomly selected. Does the mean of the sample proportions equal the proportion of even numbers in the population? Do the sample...
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6.4 2. Three randomly selected households are surveyed. The numbers of people in the households are 1, 4, and 10. Assume that samples of size n=2 are randomly selected with replacement from the population of 1, 4, and 10. Listed below are the nine different samples. Complete parts (a) through (c). Sample x1 x2 1 1 1 2 1 4 3 1 10 4 4 1 5 4 4 6 4 10 7 10 1 8 10 4 9 10 ...
Three randomly selected households are surveyed. The numbers of people in the households are 3, 4, and 11. Assume that samples of size n=2 are randomly selected with replacement from the population of 3, 4, and 11. Listed below are the nine different samples. Complete parts (a) through (c). 3,3 3,4 3,11 4,3 4,4 4,11 11,3 11,4 11,11 a. Find the median of each of the nine samples, then summarize the sampling distribution of the medians in the format of...
1. Three randomly selected households are surveyed. The numbers of people in the households are 3, 4 and 11. Assume that samples of size n=2 are randomly selected with replacement from the population of3, 4, and 11. Listed below are the nine different samples. Complete parts (a) through (c).3,3 3,4 3,11 4,3 4,4 4,11 11,3 11,4 11,11a. Find the variance of each of the nine samples, then summarize the sampling distribution of the variances in the format of a table...
selected households are surveyed. The numbers of people in the households are 3, 4, and 11. Assume that samples of size n -2 are randomly Three randomly selected with replacement from th different samples. Complete parts (a) through c) 3,3 3,4 3,11 4,3 4,4 4,11 11,3 11,4 11,11 b.Compare the population variance to the mean of the sample variances. Choose the correct answer below O A. The po O B. The population variance is equal to the mean of the...
ee randomly selected households are surveyed. The numbers of people in the households are 4,5, and 9. Assume that samples of size n 2 are randomly selected with replacement from the population of 4, 5, and 9. Listed below are the nine d Complete parts (a) through (c). 4,4 4,5 4,9 5,4 5,5 59 9,4 95 9,9p a. Find the variance of each of the nine samples, then summarize the sampling distribution of the variances in the format of a...