The amounts of nicotine in a certain brand of cigarette are normally distributed with a mean of 0.903 g and a standard deviation of 0.308 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 48 cigarettes with a mean nicotine amount of 0.832 g. Assuming that the given mean and standard deviation have NOT changed, find the probability of randomly selecting 48 cigarettes with a mean of 0.832 g or less. P(M < 0.832 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.

A First Course in Probability (10th Edition)
10th Edition
ISBN:9780134753119
Author:Sheldon Ross
Publisher:Sheldon Ross
Chapter1: Combinatorial Analysis
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The amounts of nicotine in a certain brand of cigarette are normally distributed with a mean of 0.903 g and
a standard deviation of 0.308 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 48 cigarettes with a mean
nicotine amount of 0.832 g.
Assuming that the given mean and standard deviation have NOT changed, find the probability of randomly
selecting 48 cigarettes with a mean of 0.832 g or less.
P(M < 0.832 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.
Transcribed Image Text:The amounts of nicotine in a certain brand of cigarette are normally distributed with a mean of 0.903 g and a standard deviation of 0.308 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 48 cigarettes with a mean nicotine amount of 0.832 g. Assuming that the given mean and standard deviation have NOT changed, find the probability of randomly selecting 48 cigarettes with a mean of 0.832 g or less. P(M < 0.832 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.
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