Assume a population of 3, 4, and 11. Assume that samples of size n=2 are randomly selected with replacement from the population. Listed below are the nine different samples. Complete parts a through d below. 3,3 3,4 a. Find the value of the population standard deviation o. o= 3.559 (Round to three decimal places as needed.). ▼ 3,11 (Type integers or fractions.) L 4,3 4,4 4,11 11,3 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 representing the probability distribution of the distinct standard deviation values. Use ascending order of the sample standard deviations. Probability 11,4 11,11 모
Assume a population of 3, 4, and 11. Assume that samples of size n=2 are randomly selected with replacement from the population. Listed below are the nine different samples. Complete parts a through d below. 3,3 3,4 a. Find the value of the population standard deviation o. o= 3.559 (Round to three decimal places as needed.). ▼ 3,11 (Type integers or fractions.) L 4,3 4,4 4,11 11,3 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 representing the probability distribution of the distinct standard deviation values. Use ascending order of the sample standard deviations. Probability 11,4 11,11 모
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

Transcribed Image Text:Assume a population of 3, 4, and 11. Assume that samples of size n = 2 are randomly selected with replacement from the population. Listed below are the nine different samples. Complete parts a
through d below.
3,3
3,4
a. Find the value of the population standard deviation o.
3,11
a = 3.559
(Round to three decimal places as needed.)
V
(Type integers or fractions.)
4,3
4,4
...
4,11
11,3
11,4
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 representing the probability distribution of the
distinct standard deviation values. Use ascending order of the sample standard deviations.
S
Probability
11,11
Expert Solution

Step 1:-(a) j
Population Standard deviation is given by,
S.d.= √ Σ(Xi-x̄)2/n
Where x̄ is mean and n is population size.
x̄= ΣXi/n
= (3+4+11)/3
= 6
S.d. =√((3-6)^2+(4-6)^2+(11-6)^2)/3
= 3.559
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