magazine includes a report on the energy costs per year for 32-inch liquid crystal display (LCD) televisions. The article states that14randomly selected 32-inch LCD televisions have a sample standard deviation of$3.37.Assume the sample is taken from a normally distributed population. Construct98%confidence intervals for (a) the population varianceσ2and (b) the population standard deviationσ.Interpret the results A magazine includes a report on the energy costs per year for 32-inch liquid crystal display (LCD) televisions. The article states that 14 randomlyselected 32-inch LCD televisions have a sample standard deviation of $3.37. Assume the sample is taken from a normally distributed population.Construct 98% confidence intervals for (a) the population variance o2 and (b) the population standard deviation o. Interpret the results.(a) The confidence interval for the population variance is ( 5.33 , 35.95 ).(Round to two decimal places as needed.)Interpret the results. Select the correct choice below and fill in the answer box(es) to complete your choice.(Round to two decimal places as needed.)A. With 98% confidence, you can say that the population variance is between O B. With 2% confidence, you can say that the population variance is less than5.33 and 35.95 .O C. With 2% confidence, you can say that the population variance is betweenO D. With 98% confidence, you can say that the population variance is greaterandthan(b) The confidence interval for the population standard deviation is ( D.(Round to two decimal places as needed.)

b) The degrees of freedom is, df=n-1=14-1=13 From the Chi Square table, the left side critical value…

Answered: magazine includes a report on the…

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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magazine includes a report on the energy costs per year for 32-inch liquid crystal display (LCD) televisions. The article states that

randomly selected 32-inch LCD televisions have a sample standard deviation of

$3.37.

Assume the sample is taken from a normally distributed population. Construct

98%

confidence intervals for (a) the population variance

σ2

and (b) the population standard deviation

σ.

Interpret the results

A magazine includes a report on the energy costs per year for 32-inch liquid crystal display (LCD) televisions. The article states that 14 randomly
selected 32-inch LCD televisions have a sample standard deviation of $3.37. Assume the sample is taken from a normally distributed population.
Construct 98% confidence intervals for (a) the population variance o2 and (b) the population standard deviation o. Interpret the results.
(a) The confidence interval for the population variance is ( 5.33 , 35.95 ).
(Round to two decimal places as needed.)
Interpret the results. Select the correct choice below and fill in the answer box(es) to complete your choice.
(Round to two decimal places as needed.)
A. With 98% confidence, you can say that the population variance is between O B. With 2% confidence, you can say that the population variance is less than
5.33 and 35.95 .
O C. With 2% confidence, you can say that the population variance is between
O D. With 98% confidence, you can say that the population variance is greater
and
than
(b) The confidence interval for the population standard deviation is ( D.
(Round to two decimal places as needed.)

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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