Answered: The nicotine content in cigarettes of 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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The nicotine content in cigarettes of a certain brand is normally distributed with mean (in milligrams) ? and standard deviation ?=0.1. The brand advertises that the mean nicotine content of their cigarettes is 1.5 mg. Now, suppose a reporter wants to test whether the mean nicotine content is actually higher than advertised. He takes measurements from a random sample of 10 cigarettes of this brand. The sample yields an average of 1.55 mg of nicotine. Conduct a test using a significance level of ?=0.05.

(a) The test statistic is:

(b) The critical value is:

(c) The final conclusion is

A. There is not sufficient evidence to show that the ad is misleading.
B. The nicotine content is probably higher than advertised.

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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