Answered: The amounts of nicotine in a certain…

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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Transcribed Image Text:The amounts of nicotine in a certain brand of cigarette are normally distributed with a mean of 0.893 g and a standard deviation of 0.307 g. The company that produces these cigarettes claims that it has now reduced the amount of nicotine. The supporting evidence consists of a sample of 32 cigarettes with a mean nicotine amount of 0.784 g. Assuming that the given mean and standard deviation have NOT changed, find the probability of randomly selecting 32 cigarettes with a mean of less than 0.784 g. a. P(x < 0.784 g) = Round to 4 decimal places. b. Based on the result above, is it valid to claim that the amount of nicotine is lower? O No. The probability of obtaining this data is high enough (greater than 0.05) to have been a chance Occurrence. Yes. The probability of this data is unlikely to have occurred by chance alone (less than 0.05).

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