Answered: A quality control engineer at Shell…

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 quality control engineer at Shell visits 80 gas stations and collects a fuel sample from each. She measures the sulphur content in the gas and sorts the samples into 4 different batches. She finds: 19 samples with less than 180 ppm sulphur, 20 samples with between 180 and 230 ppm, 23 samples with between 230 and 280 ppm, and 18 samples with more than 280 ppm. Does the sulphur content of gas follow a normal distribution with a mean of 230 ppm and a standard deviation of 50 ppm at the 5% significance level

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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