The amountsS of nicotine in a certain brand of cigarette are normally distributed with a mean of 0.936 g and a standard deviation of 0.294 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 47 cigarettes with a mean nicotine amount of 0.846 g. Assuming that the given mean and standard deviation have NOT changed, find the probability of randomly seleting 47 cigarettes with a mean of 0.846 g or less. P(M < 0.846 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 accepted. Based on the result above, is it valid to claim that the amoutn of nicotine is lower? O No. The probability of obtaining this data is high enough to have been a chance occurrence. O Yes. The probability of this data is unlikely to have occurred by chance alone.

MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
Section: Chapter Questions
Problem 1P
icon
Related questions
Question
100%
The amounts of nicotine in a certain brand of cigarette are normally distributed with a mean of
0.936 g and a standard deviation of 0.294 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 47
cigarettes with a mean nicotine amount of 0.846 g.
Assuming that the given mean and standard deviation have NOT changed, find the probability of
randomly seleting 47 cigarettes with a mean of 0.846 g or less.
P(M < 0.846 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 accepted.
Based on the result above, is it valid to claim that the amoutn of nicotine is lower?
O No. The probability of obtaining this data is high enough to have been a chance occurrence.
O Yes. The probability of this data is unlikely to have occurred by chance alone.
Transcribed Image Text:The amounts of nicotine in a certain brand of cigarette are normally distributed with a mean of 0.936 g and a standard deviation of 0.294 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 47 cigarettes with a mean nicotine amount of 0.846 g. Assuming that the given mean and standard deviation have NOT changed, find the probability of randomly seleting 47 cigarettes with a mean of 0.846 g or less. P(M < 0.846 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 accepted. Based on the result above, is it valid to claim that the amoutn of nicotine is lower? O No. The probability of obtaining this data is high enough to have been a chance occurrence. O Yes. The probability of this data is unlikely to have occurred by chance alone.
Expert Solution
steps

Step by step

Solved in 2 steps with 2 images

Blurred answer
Recommended textbooks for you
MATLAB: An Introduction with Applications
MATLAB: An Introduction with Applications
Statistics
ISBN:
9781119256830
Author:
Amos Gilat
Publisher:
John Wiley & Sons Inc
Probability and Statistics for Engineering and th…
Probability and Statistics for Engineering and th…
Statistics
ISBN:
9781305251809
Author:
Jay L. Devore
Publisher:
Cengage Learning
Statistics for The Behavioral Sciences (MindTap C…
Statistics for The Behavioral Sciences (MindTap C…
Statistics
ISBN:
9781305504912
Author:
Frederick J Gravetter, Larry B. Wallnau
Publisher:
Cengage Learning
Elementary Statistics: Picturing the World (7th E…
Elementary Statistics: Picturing the World (7th E…
Statistics
ISBN:
9780134683416
Author:
Ron Larson, Betsy Farber
Publisher:
PEARSON
The Basic Practice of Statistics
The Basic Practice of Statistics
Statistics
ISBN:
9781319042578
Author:
David S. Moore, William I. Notz, Michael A. Fligner
Publisher:
W. H. Freeman
Introduction to the Practice of Statistics
Introduction to the Practice of Statistics
Statistics
ISBN:
9781319013387
Author:
David S. Moore, George P. McCabe, Bruce A. Craig
Publisher:
W. H. Freeman