Assume a population of 2, 6, and 7. 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. 2.2 2,6 2,7 6.2 6,6 6,7 7.2 7,6 7,7 a. Find the value of the population standard deviation o. = 2.160 Round to three decimal places s needed.) 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 Type integers or fractions.)

MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
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Chapter1: Starting With Matlab
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Assume a population of

2
​,
6
​,

and

7
.

Assume that samples of size

nequals
2
are randomly selected with replacement from the population. Listed below are the nine different samples. Complete parts a through d below.
 
2

​,2

2

​,6

2

​,7

 
6

​,2

 
6

​,6

6

​,7

7

​,2

7

​,6

7

​,7

 
a. Find the value of the population standard deviation
sigma
.
 
sigma

equals2.160

​(Round to three decimal places as​ needed.)
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
 
 
0.5
0.5
0
nothing
 
 
 
0.707
1
2.5
nothing
 
 
 
8
2.828
5
nothing
 
 
6.4
3.536
12.5
nothing
​(Type integers or​ fractions.)
Assume a population of 2, 6, and 7. 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.
2,2
2,6
2,7
6.2
6,6
6,7
7.2
7,6
7,7
a. Find the value of the population standard deviation o.
o= 2.160
(Round to three decimal places as needed.)
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
(Type integers or fractions.)
Transcribed Image Text:Assume a population of 2, 6, and 7. 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. 2,2 2,6 2,7 6.2 6,6 6,7 7.2 7,6 7,7 a. Find the value of the population standard deviation o. o= 2.160 (Round to three decimal places as needed.) 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 (Type integers or fractions.)
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