Answered: Construct 98% confidence intervals…

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

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 $3.52. 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) The confidence interval for the population variance is

(enter your response here,enter your response here).

(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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