The annual earnings of 13 randomly selected computer software engineers have a sample standard deviation of $3600.Assume the sample is from a normally distributed population. Construct a confidence interval for the population variance σ2 and the population standard deviation σ.Use a 95% level of confidence. Interpret the results. What is the confidence interval for the population variance o2?(Round to the nearest integer as needed.)Interpret the results. Select the correct choice below and fill in the answer box(es) to complete your choice.(Round to the nearest integer as needed.)A. With 5% confidence, you can say that the population varianceis greater thanB. With 95% confidence, you can say that the populationvariance is betweenandO C. With 95% confidence, you can say that the populationvariance is less thanD. With 5% confidence, you can say that the population varianceis betweenandWhat is the confidence interval for the population standard deviation o?| ) (Round to the nearest integer as needed.)Interpret the results. Select the correct choice below and fill in the answer box(es) to complete your choice.(Round to the nearest integer as needed.)A. With 5% confidence, you can say that the population standarddeviation is less than $.B. With 95% confidence, you can say that the populationstandard deviation is between $and $.C. With 5% confidence, you can say that the population standardD. With 95% confidence, you can say that the populationstandard deviation is greater than $.deviation is between $and $

Confidence interval for Variance is given by, Here, Alpha = (1-0.95)= 0.05 Chi-square at Alpha/2=…

Answered: The annual earnings of 13 randomly…

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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The annual earnings of 13 randomly selected computer software engineers have a sample standard deviation of $3600.

Assume the sample is from a normally distributed population. Construct a confidence interval for the population variance σ2 and the population standard deviation σ.

Use a 95% level of confidence. Interpret the results.

What is the confidence interval for the population variance o2?
(Round to the nearest integer as needed.)
Interpret the results. Select the correct choice below and fill in the answer box(es) to complete your choice.
(Round to the nearest integer as needed.)
A. With 5% confidence, you can say that the population variance
is greater than
B. With 95% confidence, you can say that the population
variance is between
and
O C. With 95% confidence, you can say that the population
variance is less than
D. With 5% confidence, you can say that the population variance
is between
and
What is the confidence interval for the population standard deviation o?
| ) (Round to the nearest integer as needed.)
Interpret the results. Select the correct choice below and fill in the answer box(es) to complete your choice.
(Round to the nearest integer as needed.)
A. With 5% confidence, you can say that the population standard
deviation is less than $.
B. With 95% confidence, you can say that the population
standard deviation is between $
and $.
C. With 5% confidence, you can say that the population standard
D. With 95% confidence, you can say that the population
standard deviation is greater than $.
deviation is between $
and $

Features Features Normal distribution is characterized by two parameters, mean (µ) and standard deviation (σ). When graphed, the mean represents the center of the bell curve and the graph is perfectly symmetric about the center. The mean, median, and mode are all equal for a normal distribution. The standard deviation measures the data's spread from the center. The higher the standard deviation, the more the data is spread out and the flatter the bell curve looks. Variance is another commonly used measure of the spread of the distribution and is equal to the square of the standard deviation.

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