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 sixteendifferent samples.43,4352,4343,4952,4943,5252.5243,5952,5949,4359,4349,4959,49Find the Sample Median and Probability of each grouping, and then compare the population median to the mean of the sample medians. Choose the correct answer below.49,5259,52OA. The population median is equal to double the mean of the sample medians.OB. The population median is equal to half of the mean of the sample medians.OC. The population median is equal to 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).49,5959,59

Answered: mples. 43,49 43,52 52,49 52,52 ample…

mples. 43,49 43,52 52,49 52,52 ample Median and Probability of each grouping, and population median is equal to double the mean of th

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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Question

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.
43,43
52,43
43,49
52,49
43,52
52.52
43,59
52,59
49,43
59,43
49,49
59,49
Find the Sample Median and Probability of each grouping, and then compare the population median to the mean of the sample medians. Choose the correct answer below.
49,52
59,52
OA. The population median is equal to double the mean of the sample medians.
OB. The population median is equal to half of the mean of the sample medians.
OC. The population median is equal to 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).
49,59
59,59

Expert Solution

Introduction

We know that The median of the data is the value of the middle observation foundafter sorting the data in ascending order.

if number of data is odd then formula for median is

$Median = {(\frac{n + 1}{2})}^{th}$

if number of data is even then formula for median is

$Median = \frac{{(\frac{n}{2})}^{th} + {(\frac{n + 1}{2})}^{th}}{2}$

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