Question

7. Assume a population of 46​, 51​, 53​, and 59. Assume that samples of size n=2...

7. Assume a population of 46​, 51​, 53​, and 59. 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​).

Sample x1         x2

1          46         46

2          46         51

3          46         53

4          46         59

5          51         46

6          51         51

7          51         53

8          51         59

9          53         46

10         53         51

11         53         53

12         53         59

13         59         46

14         59         51

15         59         53

16 59         59

a.Find the median of each of the sixteen​ samples, then summarize the sampling distribution of the medians in the format of a table representing the probability distribution of the distinct median values. Use ascending order of the sample medians.

Social Median

Probability

Social Median

Probability

(69,92,46)

(78.5,105,52.5)

(71.5,97,48.5)

(80.5,53,106)

(99,49.5,74)

(110,55,82)

(76,102,51)

(56,84.5,112)

(76.5,52,104)

(88.5,118,59)

                   ​(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.

A. The population median is equal to the mean of the sample medians.

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).

C. The population median is equal to double the mean of the sample medians.

D. The population median is equal to half of 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?

A. The sample medians target the population​ median, so sample medians are unbiased​ estimators, because the mean of the sample medians equals the population median.

B. The sample medians target the population​ median, so sample medians are biased​ estimators, because the mean of the sample medians equals the population median.

C. 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.

D. 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.

Homework Answers

Know the answer?
Your Answer:

Post as a guest

Your Name:

What's your source?

Earn Coins

Coins can be redeemed for fabulous gifts.

Not the answer you're looking for?
Ask your own homework help question
Similar Questions
Three randomly selected households are surveyed. The numbers of people in the households are 3​, 5​,...
Three randomly selected households are surveyed. The numbers of people in the households are 3​, 5​, and 10. Assume that samples of size n=2 are randomly selected with replacement from the population of 3​, 5​, and 10. Listed below are the nine different samples. Complete parts​ (a) through​ (c). 3​,3    3​,5    3​,10    5​,3    5​,5    5​,10    10​,3    10​,5    10​,10    a. Find the median of each of the nine​ samples, then summarize the sampling distribution of the medians in the format...
Three randomly selected households are surveyed. The numbers of people in the households are 22​, 44​,...
Three randomly selected households are surveyed. The numbers of people in the households are 22​, 44​, and 12. Assume that samples of size nequals=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,​,   2,4   2​,12  4,2   4,4   4,12   12​,2   12,4   12​,12 a. Find the median of each of the nine​ samples, then summarize the sampling distribution of the medians in the format of...
Three randomly selected households are surveyed. The numbers of people in the households are 22​, 33​,...
Three randomly selected households are surveyed. The numbers of people in the households are 22​, 33​, and 10. Assume that samples of size nequals=2 are randomly selected with replacement from the population of 2​, 3​, and 10. Listed below are the nine different samples. Complete parts​ (a) through​ (c). 2​,2    2,3    2​,10    3​,2    3,3  3,10    10,2    10​,3    10,10​ a. Find the median of each of the nine​ samples, then summarize the sampling distribution of the medians in the format of...
Assume a population of 1​, 2​, and 12. Assume that samples of size n equals 2...
Assume a population of 1​, 2​, and 12. Assume that samples of size n equals 2 are randomly selected with replacement from the population. Listed below are the nine different samples. Complete parts a through d below. 1​,1 1​,2 1​,12 2​,1 2​,2 2​,12 12​,1 12​,2 12​,12 a. Find the value of the population standard deviation b. Find the standard deviation of each of the nine samples, then summarise the sampling distribution of the standard deviations in the format of a...
Assume a population of 2, 5 and 9. Assume that samples of size n = 2...
Assume a population of 2, 5 and 9. Assume that samples of size n = 2 are randomly selected with replacement from the population. Listed below are the nine different samples. Complete parts through d below. 4,4      4,5    4,9 5,4 5,5     5,9     9,4     9,5    9,9 A.) Find the value of the population standard deviation B.) Find the standard deviation of each of the nine samples, then summarize the sampling distribution of the standard deviations in the format of a table...
HW6#14 Three randomly selected households are surveyed. The numbers of people in the households are 2,...
HW6#14 Three randomly selected households are surveyed. The numbers of people in the households are 2, 3, and 10. Assume that samples of size n=2 are randomly selected with replacement from the population of 2, 3​,and 10. Listed below are the nine different samples. Complete parts​ (a) through​ (c). 2,2    2​,3    2​,10    3​,2    3​,3    3​,10    10,2    10,3    10​,10 A. Find the median of each of the nine​ samples, then summarize the sampling distribution of the medians in the format of...
Three randomly selected households are surveyed. The numbers of people in the households are 4, 5,...
Three 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 consisting of 4, 5 and 9. Listed below are the nine different samples. 4,4     4,5      4,9    5,4   5,5     5,9   9,4    9,5   9,9 A. ) Find the median of each nine samples then summarize the sampling distribution of the medians in the format of a table representing the...
Three randomly selected households are surveyed. The numbers of people in the households are 1​, 2​,...
Three randomly selected households are surveyed. The numbers of people in the households are 1​, 2​, and 12. Assume that samples of size nequals2 are randomly selected with replacement from the population of 1​, 2​, and 12. Construct a probability distribution table that describes the sampling distribution of the proportion of odd numbers when samples of sizes nequals2 are randomly selected. Does the mean of the sample proportions equal the proportion of odd numbers in the​ population? Do the sample...
The assets (in billions of dollars) of the four wealthiest people in a particular country are...
The assets (in billions of dollars) of the four wealthiest people in a particular country are 34, 33, 31, 18. Assume that samples of size n = 2 are randomly selected with replacement from this population of four values. a. After identifying the 16 different possible samples and finding the mean of each sample, construct a table representing the sampling distribution of the sample mean. In the table, values of the sample mean that are the same have been combined....
The assets​ (in billions of​ dollars) of the four wealthiest people in a particular country are...
The assets​ (in billions of​ dollars) of the four wealthiest people in a particular country are 37, 33, 23 ,15.Assume that samples of size n =2 are randomly selected with replacement from this population of four values. a. After identifying the 16 different possible samples and finding the mean of each​ sample, construct a table representing the sampling distribution of the sample mean. In the​ table, values of the sample mean that are the same have been combined. x probability...
ADVERTISEMENT
Need Online Homework Help?

Get Answers For Free
Most questions answered within 1 hours.

Ask a Question
ADVERTISEMENT