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)
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Chapter1: Combinatorial Analysis
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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.
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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