The amounts of nicotine in a certain brand of cigarette are normally distributed with a mean of 8.6 mg and a standard deviation of 1.53 mg. The company that produces these cigarettes claims that it has now reduced the amount of nicotine. The supporting evidence consists of a sample of 31 cigarettes with a mean nicotine amount of 8.023 mg. Assuming that the given mean and standard deviation have NOT changed, find the probability of randomly seleting 31 cigarettes with a mean of 8.023 mg or less. P(M<8.023 mg)%D Based on the result above, is it valid to claim that the amount 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.
The amounts of nicotine in a certain brand of cigarette are normally distributed with a mean of 8.6 mg and a standard deviation of 1.53 mg. The company that produces these cigarettes claims that it has now reduced the amount of nicotine. The supporting evidence consists of a sample of 31 cigarettes with a mean nicotine amount of 8.023 mg. Assuming that the given mean and standard deviation have NOT changed, find the probability of randomly seleting 31 cigarettes with a mean of 8.023 mg or less. P(M<8.023 mg)%D Based on the result above, is it valid to claim that the amount 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.
A First Course in Probability (10th Edition)
10th Edition
ISBN:9780134753119
Author:Sheldon Ross
Publisher:Sheldon Ross
Chapter1: Combinatorial Analysis
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Problem 1.1P: a. How many different 7-place license plates are possible if the first 2 places are for letters and...
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![The amounts of nicotine in a certain brand of cigarette are normally distributed with a mean of 8.6 mg and a
standard deviation of 1.53
mg.
The
company
that produces these cigarettes claims that it has now reduced the
amount of nicotine. The supporting evidence consists of a sample of 31 cigarettes with a mean nicotine amount
of 8.023 mg.
Assuming that the given mean and standard deviation have NOT changed, find the probability of randomly
seleting 31 cigarettes with a mean of 8.023 mg or less.
P(M<8.023 mg) =
Based on the result above, is it valid to claim that the amount 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.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F1160d2b6-fd16-46fa-ba15-1ca5a2341eea%2F1ad8e736-e986-481d-80e2-3245a7c2dec0%2Fua5iefa_processed.jpeg&w=3840&q=75)
Transcribed Image Text:The amounts of nicotine in a certain brand of cigarette are normally distributed with a mean of 8.6 mg and a
standard deviation of 1.53
mg.
The
company
that produces these cigarettes claims that it has now reduced the
amount of nicotine. The supporting evidence consists of a sample of 31 cigarettes with a mean nicotine amount
of 8.023 mg.
Assuming that the given mean and standard deviation have NOT changed, find the probability of randomly
seleting 31 cigarettes with a mean of 8.023 mg or less.
P(M<8.023 mg) =
Based on the result above, is it valid to claim that the amount 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.
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