Answered: When testing gas pumps for accuracy,…

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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When testing gas pumps for accuracy, fuel-quality enforcement specialists tested pumps and found that

13201320

of them were not pumping accurately (within 3.3 oz when 5 gal is pumped), and

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pumps were accurate. Use a 0.01 significance level to test the claim of an industry representative that less than 20% of the pumps are inaccurate. Use the P-value method and use the normal distribution as an approximation to the binomial distribution.

Identify the null hypothesis and alternative hypothesis.

Upper H 0H0:

pequals=0.2

Upper H 1H1:

pnot equals≠0.2

Upper H 0H0:

pless than<0.2

Upper H 1H1:

pequals=0.2

Upper H 0H0:

pnot equals≠0.2

Upper H 1H1:

pequals=0.2

Upper H 0H0:

pequals=0.2

Upper H 1H1:

pless than<0.2

Your answer is correct.

Upper H 0H0:

pgreater than>0.2

Upper H 1H1:

pequals=0.2

Upper H 0H0:

pequals=0.2

Upper H 1H1:

pgreater than>0.2

The test statistic is

zequals=nothing.

(Round to four decimal places as needed.)

What is the P-Value?

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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