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NW 5.10 Consider the following probability distribution: p(x) 33 mean. = 33 N 13 a. Find u. b. For a random sample of n = 3 observations from this distribution, find the sampling distribution of the sample c. Find the sampling distribution of the median of a sample of n = 3 observations from this population. d. Refer to parts b and c, and show that both the mean and median are unbiased estimators of μ for this population. e. Find the variances of the sampling distributions of the sample mean and the sample median. f. Which estimator would you use to estimate μ? Why?

NW 5.10 Consider the following probability distribution: p(x) 33 mean. = 33 N 13 a. Find u. b. For a random sample of n = 3 observations from this distribution, find the sampling distribution of the sample c. Find the sampling distribution of the median of a sample of n = 3 observations from this population. d. Refer to parts b and c, and show that both the mean and median are unbiased estimators of μ for this population. e. Find the variances of the sampling distributions of the sample mean and the sample median. f. Which estimator would you use to estimate μ? Why?

MATLAB: An Introduction with Applications
MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
Section: Chapter Questions
Problem 1P
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NW 5.10 Consider the following probability distribution: p(x) 33 mean. = 33 N 13 a. Find u. b. For a random sample of n = 3 observations from this distribution, find the sampling distribution of the sample c. Find the sampling distribution of the median of a sample of n = 3 observations from this population. d. Refer to parts b and c, and show that both the mean and median are unbiased estimators of μ for this population. e. Find the variances of the sampling distributions of the sample mean and the sample median. f. Which estimator would you use to estimate μ? Why?
Transcribed Image Text:NW 5.10 Consider the following probability distribution: p(x) 33 mean. = 33 N 13 a. Find u. b. For a random sample of n = 3 observations from this distribution, find the sampling distribution of the sample c. Find the sampling distribution of the median of a sample of n = 3 observations from this population. d. Refer to parts b and c, and show that both the mean and median are unbiased estimators of μ for this population. e. Find the variances of the sampling distributions of the sample mean and the sample median. f. Which estimator would you use to estimate μ? Why?
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