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
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
A First Course in Probability (10th Edition)
10th Edition
ISBN:9780134753119
Author:Sheldon Ross
Publisher:Sheldon Ross
Chapter1: Combinatorial Analysis
Section: Chapter Questions
Problem 1.1P: a. How many different 7-place license plates are possible if the first 2 places are for letters and...
Related questions
Question
![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](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F9eca91a1-353d-4a65-9765-b7452a8e5de5%2Fedcabb65-68a0-425b-aeb7-96de302a1623%2Fmi57sbp_processed.jpeg&w=3840&q=75)
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](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F9eca91a1-353d-4a65-9765-b7452a8e5de5%2Fedcabb65-68a0-425b-aeb7-96de302a1623%2Fdsozdn_processed.jpeg&w=3840&q=75)
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
Expert Solution
![](/static/compass_v2/shared-icons/check-mark.png)
This question has been solved!
Explore an expertly crafted, step-by-step solution for a thorough understanding of key concepts.
This is a popular solution!
Trending now
This is a popular solution!
Step by step
Solved in 2 steps with 1 images
![Blurred answer](/static/compass_v2/solution-images/blurred-answer.jpg)
Recommended textbooks for you
![A First Course in Probability (10th Edition)](https://www.bartleby.com/isbn_cover_images/9780134753119/9780134753119_smallCoverImage.gif)
A First Course in Probability (10th Edition)
Probability
ISBN:
9780134753119
Author:
Sheldon Ross
Publisher:
PEARSON
![A First Course in Probability](https://www.bartleby.com/isbn_cover_images/9780321794772/9780321794772_smallCoverImage.gif)
![A First Course in Probability (10th Edition)](https://www.bartleby.com/isbn_cover_images/9780134753119/9780134753119_smallCoverImage.gif)
A First Course in Probability (10th Edition)
Probability
ISBN:
9780134753119
Author:
Sheldon Ross
Publisher:
PEARSON
![A First Course in Probability](https://www.bartleby.com/isbn_cover_images/9780321794772/9780321794772_smallCoverImage.gif)