Answered: The amounts with a mean a produces thes…

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:A Calendar 6 Introduction to Soc b Answered: Tempera x WAMAP - Posts A WAMAP Assessme X min and max - Goo X E Untitled document x + A docs.google.com/document/d/1qYChxA37cmlGEWMpTrbRg31QUw9YBAOS06_8JGralKY/edit Untitled document * D O Saved to Drive A Share File Edit View Insert Format Tools Add-ons Help Last edit was seconds ago в IU A E = = = tE E - E - E E X 100% Normal text Times New. - 14 + 1 | 1 | 2 | 3 4 5 | 6 + 7 I Q12 The amounts of nicotine in a certain brand of cigarette are normally distributed with a mean of 0.957 g and a standard deviation of 0.291 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 46 cigarettes with a mean nicotine amount of 0.888 g. + Assuming that the given mean and standard deviation have NOT changed, find the probability of randomly selecting 46 cigarettes with a mean of 0.888 g or less. P(M < 0.888 g) = Enter your answer as a number accurate to 4 decimal places.NOTE: Answers obtained using exact z-scores or z-scores rounded to 3 decimal places are ассepted. Based on the result above, ¿is it valid to claim that the amount of nicotine is lower? (Let's use a 5% cut-off for our definition of unusual.) Yes. The probability of this data is unlikely to have occurred by chance alone? No. The probability of obtaining this data is high enough to have been a chance occurrence?| 11:46

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A z-score represents the position of a data point in terms of its distance from the mean when measured in standard deviation units, i.e, how far the observation is from the mean in units of standard deviation.

The z of a variable (x) is the ratio of the difference of mean $μ$ from the data point (x) by the standard deviation $σ$ , i.e, $z = \frac{x - μ}{σ}$

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