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. 3,4 3,3 a. Find the value of the population standard deviation o. S ▼ 3,11 ▼ ■ 1 | 4,3 4,4 C (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.) c. Find the mean of the sampling distribution of the sample standard deviations. The mean of the sampling distribution of the sample standard deviations is. 4,11 11,3 11,4 11,11
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. 3,4 3,3 a. Find the value of the population standard deviation o. S ▼ 3,11 ▼ ■ 1 | 4,3 4,4 C (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.) c. Find the mean of the sampling distribution of the sample standard deviations. The mean of the sampling distribution of the sample standard deviations is. 4,11 11,3 11,4 11,11
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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
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.
3,4
3,3
a. Find the value of the population standard deviation o.
S
▼
3,11
▼
■
1
|
4,3
4,4
C
(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.)
c. Find the mean of the sampling distribution of the sample standard deviations.
The mean of the sampling distribution of the sample standard deviations is.
4,11
11,3
11,4
11,11

Transcribed Image Text:c. Find the mean of the sampling distribution of the sample standard deviations.
The mean of the sampling distribution of the sample standard deviations is
(Round to three decimal places as needed.)
d. Do the sample standard deviations target the value of the population standard deviation? In general, do sample standard deviations make good estimators of population
standard deviations? Why or why not?
O A. The sample standard deviations do target the population standard deviation, therefore, sample standard deviations are biased estimators.
O B. The sample standard deviations do not target the population standard deviation, therefore, sample standard deviations are unbiased estimators.
O C. The sample standard deviations do target the population standard deviation, therefore, sample standard deviations are unbiased estimators.
O D. The sample standard deviations do not target the population standard deviation, therefore, sample standard deviations are biased estimators.
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