Average Miles per Gallon (Gas Mileage) tests are to be conducted for government on Toyota cars. If 96% confidence is desired with a Margin of Error of 0.8 mile per gallon, how many cars should be tested? The initial mileage tests indicate that the estimate of the population standard deviation is 5 miles per gallon.

Answered: If 96% confidence is desired with 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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Average Miles per Gallon (Gas Mileage) tests are to be conducted for government on Toyota cars. If 96% confidence is desired with a Margin of Error of 0.8 mile per gallon, how many cars should be tested? The initial mileage tests indicate that the estimate of the population standard deviation is 5 miles per gallon.

Expert Solution

Step 1

Given data:

Degree of confidence, c = 96% or 0.96

So, the level of significance is:

$\begin{array}{rcl} α & = & 1 - c \\ = & 1 - 0.96 \\ = & 0.04 \end{array}$

Population standard deviation, $σ = 5 miles per gallon$ .

Margin of error, E = 0.8 mile per gallon.

Let the number of cars tested be n.

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