the battery life using a sample of laptop batteries. boxplot, or another plot?] which direction is it?). hator of true population variance from the following three estimators: s3 = >(x, - 8)2 n-1 b. Are there any disadvantag parameter? Explain why n-2 b. Compare the center and spread of the results using suitable summary statisties. Estimator si=x - xy si=Ex - x) s- e 15 from the distribution of interest, and caleulate the value stimators ai, si, si for each of the 10,000 samples. [Hint: estimates for one sample. Repeat using a for loep) Center (state which measure you used) Spread (state which measure you used) e. Which point estimator would you choose as the best to estimate the population variance? (Hint Recall that one of the vital properties of an estimator is that it should be unbiased That is, it should be elose to the population parameter it is trying to estimate on average] d. Briefly justify your choice of the point estimator.
the battery life using a sample of laptop batteries. boxplot, or another plot?] which direction is it?). hator of true population variance from the following three estimators: s3 = >(x, - 8)2 n-1 b. Are there any disadvantag parameter? Explain why n-2 b. Compare the center and spread of the results using suitable summary statisties. Estimator si=x - xy si=Ex - x) s- e 15 from the distribution of interest, and caleulate the value stimators ai, si, si for each of the 10,000 samples. [Hint: estimates for one sample. Repeat using a for loep) Center (state which measure you used) Spread (state which measure you used) e. Which point estimator would you choose as the best to estimate the population variance? (Hint Recall that one of the vital properties of an estimator is that it should be unbiased That is, it should be elose to the population parameter it is trying to estimate on average] d. Briefly justify your choice of the point estimator.
MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
Section: Chapter Questions
Problem 1P
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![Exercises: Include R Code
A certain laptop computer battery is historically known to have a Normally distributed battery
life with a mean of 3 years and a standard deviation of 0.5 years. You would like to estimate
2. Examine your results and make a decision.
3. Other questions:
a. Compare the center and spread of the results using suitable plots. [Hint: which
plot helps to visualize the center and spread of the distribution: a histogram, a
boxplot, or another plot?]
a. Generate a suitable plot of the results for the estimator you chose, and describe
the shape of the distribution. (Skewed or approximately symmetric? If skewed, in
which direction is it?).
the true variance of the battery life using a sample of laptop batteries.
Find the "best" estimator of true population variance from the following three estimators:
路 ==>(X-)?
n.
i=1
1.
si =
n-12(X - X)2
i=1
b.
1
Are there any disadvantages to using a point estimate to estimate the population
parameter? Explain why or why not
s3 =
%3!
b. Compare the center and spread of the results using suitable summary statistics.
n- 22X -X)2
(x- si=-2"
1
(x-x)
1. Do a simulation.
(X-x)
Estimator
Draw 10,000 samples of size 15 from the distribution of interest, and caleulate the value
of each of the above three estimators si, si, si for each of the 10,000 samples. [Hint:
Think of how to obtain the estimates for ene sample. Repeat using a for loop.)
Center
(state which
measure
you used)
Spread
(state which
measure
you used)
c. Which point estimater would you choose as the best to estimate the population
variance? [Hint Recall that one of the vital properties of an estimator is that it
should be unbiased. That is, it should be close to the population parameter it is
trying to estimate on average.]
d. Briefly justify your choice of the point estimator.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F80afcdf6-61f4-4613-9b27-fbcd59a62447%2F90cd3443-312a-4fca-b74c-377cca3a7987%2Fv05j08_processed.jpeg&w=3840&q=75)
Transcribed Image Text:Exercises: Include R Code
A certain laptop computer battery is historically known to have a Normally distributed battery
life with a mean of 3 years and a standard deviation of 0.5 years. You would like to estimate
2. Examine your results and make a decision.
3. Other questions:
a. Compare the center and spread of the results using suitable plots. [Hint: which
plot helps to visualize the center and spread of the distribution: a histogram, a
boxplot, or another plot?]
a. Generate a suitable plot of the results for the estimator you chose, and describe
the shape of the distribution. (Skewed or approximately symmetric? If skewed, in
which direction is it?).
the true variance of the battery life using a sample of laptop batteries.
Find the "best" estimator of true population variance from the following three estimators:
路 ==>(X-)?
n.
i=1
1.
si =
n-12(X - X)2
i=1
b.
1
Are there any disadvantages to using a point estimate to estimate the population
parameter? Explain why or why not
s3 =
%3!
b. Compare the center and spread of the results using suitable summary statistics.
n- 22X -X)2
(x- si=-2"
1
(x-x)
1. Do a simulation.
(X-x)
Estimator
Draw 10,000 samples of size 15 from the distribution of interest, and caleulate the value
of each of the above three estimators si, si, si for each of the 10,000 samples. [Hint:
Think of how to obtain the estimates for ene sample. Repeat using a for loop.)
Center
(state which
measure
you used)
Spread
(state which
measure
you used)
c. Which point estimater would you choose as the best to estimate the population
variance? [Hint Recall that one of the vital properties of an estimator is that it
should be unbiased. That is, it should be close to the population parameter it is
trying to estimate on average.]
d. Briefly justify your choice of the point estimator.
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