Assume a population of 1, 4, and 10. Assume that samples of size n = 2 are randomly selected with replacement from the population. Listed belów are the hIne different samples. Complete parts a through d below. 1,1 1,4 1,10 4,1 4,4 4,10 10,1 10,4 10,10 a. Find the value of the population standard deviation o. (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

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Assume a population of 1, 4, and 10. 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.
of
thr
1,10
4,1
4,4
4,10
10,1
10,4
10,10
1,1
1,4
nes
he
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?
ow
N
O A. The sample standard deviations do not target the population standard deviation, therefore, sample standard deviations are biased estimators.
O B. The sample standard deviations do target the population standard deviation, therefore, sample standard deviations are biased estimators.
OC. The sample standard deviations do target the population standard deviation, therefore, sample standard deviations are unbiased estimators.
xp
O D. The sample standard deviations do not target the population standard deviation, therefore, sample standard deviations are unbiased estimators.
Ai
Transcribed Image Text:Assume a population of 1, 4, and 10. 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. of thr 1,10 4,1 4,4 4,10 10,1 10,4 10,10 1,1 1,4 nes he 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? ow N O A. The sample standard deviations do not target the population standard deviation, therefore, sample standard deviations are biased estimators. O B. The sample standard deviations do target the population standard deviation, therefore, sample standard deviations are biased estimators. OC. The sample standard deviations do target the population standard deviation, therefore, sample standard deviations are unbiased estimators. xp O D. The sample standard deviations do not target the population standard deviation, therefore, sample standard deviations are unbiased estimators. Ai
Assume a population of 1, 4, and 10. 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.
1,1
1,4
1,10
4,1
4,4
4,10
10,1
10,4
10,10
...
a. Find the value of the population standard deviation o.
(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
Transcribed Image Text:Assume a population of 1, 4, and 10. 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. 1,1 1,4 1,10 4,1 4,4 4,10 10,1 10,4 10,10 ... a. Find the value of the population standard deviation o. (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
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