Assume a population of 43, 49, 52, and 59. Assume that samples of size n= 2 are randomly selected with replacement from the population. Listed below are the siteen different samples. Complete parts (a) through (c). 43,43 43.49 43.52 43.59 49.43 49.52 49.49 59.49 49.5 52.43 52.49 52.52 52.59 59.43 59.52 59.5 a. Find the median of each of the sbdeen 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. Sample Median Probability Sample Median Probability
Assume a population of 43, 49, 52, and 59. Assume that samples of size n= 2 are randomly selected with replacement from the population. Listed below are the siteen different samples. Complete parts (a) through (c). 43,43 43.49 43.52 43.59 49.43 49.52 49.49 59.49 49.5 52.43 52.49 52.52 52.59 59.43 59.52 59.5 a. Find the median of each of the sbdeen 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. Sample Median Probability Sample Median Probability
MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
Section: Chapter Questions
Problem 1P
Related questions
Question
Transcribed Image Text:Assume a population of 43, 49, 52, 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).
43,43
43,49
43,52
43,59
49,43
49,49
49,52
49,59
52,43
52,49
52,52
52,59
59,43
59,49
59,52
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.
Sample Median
Probability
Sample Median
Probability
(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.
O A. The population median is equal to double 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).
O C. The population median is equal to half of the mean of the sample medians.
O D. The population median is equal to 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?
O 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.
O B. 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.
OC. The sample medians target the population median, so sample medians are biased estimators, because the mean of the sample medians equals the population median.
O D. 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.
Expert Solution
This question has been solved!
Explore an expertly crafted, step-by-step solution for a thorough understanding of key concepts.
This is a popular solution!
Trending now
This is a popular solution!
Step by step
Solved in 2 steps
Recommended textbooks for you
MATLAB: An Introduction with Applications
Statistics
ISBN:
9781119256830
Author:
Amos Gilat
Publisher:
John Wiley & Sons Inc
Probability and Statistics for Engineering and th…
Statistics
ISBN:
9781305251809
Author:
Jay L. Devore
Publisher:
Cengage Learning
Statistics for The Behavioral Sciences (MindTap C…
Statistics
ISBN:
9781305504912
Author:
Frederick J Gravetter, Larry B. Wallnau
Publisher:
Cengage Learning
MATLAB: An Introduction with Applications
Statistics
ISBN:
9781119256830
Author:
Amos Gilat
Publisher:
John Wiley & Sons Inc
Probability and Statistics for Engineering and th…
Statistics
ISBN:
9781305251809
Author:
Jay L. Devore
Publisher:
Cengage Learning
Statistics for The Behavioral Sciences (MindTap C…
Statistics
ISBN:
9781305504912
Author:
Frederick J Gravetter, Larry B. Wallnau
Publisher:
Cengage Learning
Elementary Statistics: Picturing the World (7th E…
Statistics
ISBN:
9780134683416
Author:
Ron Larson, Betsy Farber
Publisher:
PEARSON
The Basic Practice of Statistics
Statistics
ISBN:
9781319042578
Author:
David S. Moore, William I. Notz, Michael A. Fligner
Publisher:
W. H. Freeman
Introduction to the Practice of Statistics
Statistics
ISBN:
9781319013387
Author:
David S. Moore, George P. McCabe, Bruce A. Craig
Publisher:
W. H. Freeman