The amounts of nicotine in a certain brand of cigarette are normally distributed with a mean of 0.961 g and a standard deviation of 0.318 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 45 cigarettes with a mean nicotine amount of 0.866 g. Assuming that the given mean and standard deviation have NOT changed ind th

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The amounts of nicotine in a certain brand of cigarette are normally distributed with a mean of 0.961 g and a
standard deviation of 0.318 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 45 cigarettes with a mean nicotine
amount of 0.866 g.
Assuming that the given mean and standard deviation have NOT changed, find the probability of randomly
seleting 45 cigarettes with a mean of 0.866 g or less.
P(x-bar <0.866 g) =|
Enter your answer as a number accurate to 4 decimal places.
Based on the result above, is it valid to claim that the amount 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.
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Transcribed Image Text:The amounts of nicotine in a certain brand of cigarette are normally distributed with a mean of 0.961 g and a standard deviation of 0.318 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 45 cigarettes with a mean nicotine amount of 0.866 g. Assuming that the given mean and standard deviation have NOT changed, find the probability of randomly seleting 45 cigarettes with a mean of 0.866 g or less. P(x-bar <0.866 g) =| Enter your answer as a number accurate to 4 decimal places. Based on the result above, is it valid to claim that the amount 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. Submit Question Type here to search E ts 米 IOI 17 te 4+ $4 3. 4. 6. R Y. tab s lock D H. C %2: 2.
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