The amounts of nicotine in a certain brand of cigarette are normally distributed with a mean of 0.888 g and a standard deviation of 0.297 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 0.804 g. Assuming that the given mean and standard deviation have NOT changed, find the probability of randomly seleting 32 cigarettes with a mean of 0.804 g or less. P(M < 0.804 g) =

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The amounts of nicotine in a certain brand of cigarette
are normally distributed with a mean of 0.888 g and a
standard deviation of 0.297 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 0.804 g.
Assuming that the given mean and standard deviation
have NOT changed, find the probability of randomly
seleting 32 cigarettes with a mean of 0.804 g or less.
P(M < 0.804 g) D
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 Yes. The probability of this data is unlikely to have
occurred by chance alone.
O No. The probability of obtaining this data is high
enough to have been a chance occurrence.
Question Help: Message instructor
Submit Question
Que
832
OCT
4.
(30)
Transcribed Image Text:The amounts of nicotine in a certain brand of cigarette are normally distributed with a mean of 0.888 g and a standard deviation of 0.297 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 0.804 g. Assuming that the given mean and standard deviation have NOT changed, find the probability of randomly seleting 32 cigarettes with a mean of 0.804 g or less. P(M < 0.804 g) D 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 Yes. The probability of this data is unlikely to have occurred by chance alone. O No. The probability of obtaining this data is high enough to have been a chance occurrence. Question Help: Message instructor Submit Question Que 832 OCT 4. (30)
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