Electricity bills: According to a government energy agency, the mean monthly household electricity bill in the United States in 2011 was $108.87. Assume the amounts are normally distributed with standard deviation $18.00. Use the TI-84 Plus calculator to answer the following.(a) What proportion of bills are greater than $134?(b) What proportion of bills are between $83 and $145?(c) What is the probability that a randomly selected household had a monthly bill less than $118?Round the answers to at least four decimal places. Part 1 of 3 The proportion of bills that are greater than $134 is . Part 2 of 3 The proportion of bills that are between $83 and $145 is . Part 3 of 3 The probability that a randomly selected household had a monthly bill less than $118 is .

The first step in solving this problem is to calculate the Z-score. The Z-score is a measure of how…

Answered: Electricity bills: According to a…

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

Electricity bills: According to a government energy agency, the mean monthly household electricity bill in the United States in

2011

was

$108.87

. Assume the amounts are normally distributed with standard deviation

$18.00

. Use the TI-84 Plus calculator to answer the following.

(a) What proportion of bills are greater than

$134

(b) What proportion of bills are between

$83

and

$145

$118

Round the answers to at least four decimal places.

Part 1 of 3

The proportion of bills that are greater than

$134

Part 2 of 3

The proportion of bills that are between

$83

and

$145

Part 3 of 3

The probability that a randomly selected household had a monthly bill less than

$118

Definition Definition Measure of central tendency that is the average of a given data set. The mean value is evaluated as the quotient of the sum of all observations by the sample size. The mean, in contrast to a median, is affected by extreme values. Very large or very small values can distract the mean from the center of the data. Arithmetic mean: The most common type of mean is the arithmetic mean. It is evaluated using the formula: μ = 1 N ∑ i = 1 N x i Other types of means are the geometric mean, logarithmic mean, and harmonic mean. Geometric mean: The nth root of the product of n observations from a data set is defined as the geometric mean of the set: G = x 1 x 2 ... x n n Logarithmic mean: The difference of the natural logarithms of the two numbers, divided by the difference between the numbers is the logarithmic mean of the two numbers. The logarithmic mean is used particularly in heat transfer and mass transfer. ln x 2 − ln x 1 x 2 − x 1 Harmonic mean: The inverse of the arithmetic mean of the inverses of all the numbers in a data set is the harmonic mean of the data. 1 1 x 1 + 1 x 2 + ...

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