A toy manufacturer makes plastic medals. The weight (in grams) of each plastic medal that is produced varies slightly from medal to medal. It is known that population of weights of all the plastic medals is approximately normally distributed. You are a quality control specialist who wants to estimate the standard deviation for this population with a random sample of 18 plastic medals. Follow the steps below to construct a 99% confidence interval for the population standard deviation of the weights of all the plastic medals. (If necessary, consult a list of formulas.) (a) Click on "Take Sample" to see the results from the random sample. Take Sample Point estimate of the population variance: 0 Number of plastic medals 18 Sample size: □ Sample mean 99% confidence interval for the population variance: 22.53 X Sample standard To find the confidence interval for the population standard deviation, first find the confidence interval for the population variance. Enter the values of the point estimate of the population variance, the sample size, the left critical value, and the right critical value you need for your 99% confidence interval for the population variance. (Choose the correct critical values from the table of critical values provided.) When you are done, select "Compute". S deviation 0.51 Sample variance 0.2601

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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Question
(b)
Sample size:
0
Left critical value:
0
Right critical value:
П
Compute
0.00
the population variance:
0.00
99% confidence interval for
the population standard
deviation:
Confidence
level
99%
95%
90%
Critical values
Left critical
value
20.995 5.697 0.005=35.718
2
=
X0.975-7.564
Right critical
value
2
X0.025
Based on your sample, enter the values for the lower and upper limits to graph the 99% confidence interval for the population standard deviation of
the weights of all the plastic medals. Round the values to two decimal places.
99% confidence interval for the population standard deviation:
= 30.191
2
X0.95=8.672 X0.05
X0.05=27.587
1.00
1.00
E
Transcribed Image Text:(b) Sample size: 0 Left critical value: 0 Right critical value: П Compute 0.00 the population variance: 0.00 99% confidence interval for the population standard deviation: Confidence level 99% 95% 90% Critical values Left critical value 20.995 5.697 0.005=35.718 2 = X0.975-7.564 Right critical value 2 X0.025 Based on your sample, enter the values for the lower and upper limits to graph the 99% confidence interval for the population standard deviation of the weights of all the plastic medals. Round the values to two decimal places. 99% confidence interval for the population standard deviation: = 30.191 2 X0.95=8.672 X0.05 X0.05=27.587 1.00 1.00 E
A toy manufacturer makes plastic medals. The weight (in grams) of each plastic medal that is produced varies slightly from medal to medal. It is known that the
population of weights of all the plastic medals is approximately normally distributed. You are a quality control specialist who wants to estimate the standard
deviation for this population with a random sample of 18 plastic medals.
Follow the steps below to construct a 99% confidence interval for the population standard deviation of the weights of all the plastic medals. (If necessary,
consult a list of formulas.)
(a) Click on "Take Sample" to see the results from the random sample.
Take Sample
Point estimate of the
population variance:
Number of plastic
medals
Sample size:
0
18
Sample mean
99% confidence interval for
the population variance:
22.53
X
Sample standard
To find the confidence interval for the population standard deviation, first find the confidence interval for the population variance.
Enter the values of the point estimate of the population variance, the sample size, the left critical value, and the right critical value you need for your
99% confidence interval for the population variance. (Choose the correct critical values from the table of critical values provided.) When you are
done, select "Compute".
S
deviation
0.51
Critical values
Sample variance
0.2601
Transcribed Image Text:A toy manufacturer makes plastic medals. The weight (in grams) of each plastic medal that is produced varies slightly from medal to medal. It is known that the population of weights of all the plastic medals is approximately normally distributed. You are a quality control specialist who wants to estimate the standard deviation for this population with a random sample of 18 plastic medals. Follow the steps below to construct a 99% confidence interval for the population standard deviation of the weights of all the plastic medals. (If necessary, consult a list of formulas.) (a) Click on "Take Sample" to see the results from the random sample. Take Sample Point estimate of the population variance: Number of plastic medals Sample size: 0 18 Sample mean 99% confidence interval for the population variance: 22.53 X Sample standard To find the confidence interval for the population standard deviation, first find the confidence interval for the population variance. Enter the values of the point estimate of the population variance, the sample size, the left critical value, and the right critical value you need for your 99% confidence interval for the population variance. (Choose the correct critical values from the table of critical values provided.) When you are done, select "Compute". S deviation 0.51 Critical values Sample variance 0.2601
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