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.)
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.)
Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter10: Statistics
Section10.3: Measures Of Spread
Problem 26PFA
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Question
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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.)
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