Answered: A magazine includes a report on the…

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018

18th Edition

ISBN:9780079039897

Author:Carter

Publisher:Carter

Chapter10: Statistics

Section10.3: Measures Of Spread

Problem 11PPS

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A 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.

Select the correct choice below and fill in the answer box(es) to complete your choice.

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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