The amounts of nicotine in a certain brand of cigarette are normally distributed with a mean of 0.924 g and a standard deviation of 0.289 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 36 cigarettes with a mean nicotine amount of 0.861 g.Assuming that the given mean and standard deviation have NOT changed, find the probability of randomly seleting 36 cigarettes with a mean of 0.861 g or less.P(x-bar < 0.861 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?No. The probability of obtaining this data is high enough to have been a chance occurrence.Yes. The probability of this data is unlikely to have occurred by chance alone.

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Asked Feb 17, 2020
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The amounts of nicotine in a certain brand of cigarette are normally distributed with a mean of 0.924 g and a standard deviation of 0.289 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 36 cigarettes with a mean nicotine amount of 0.861 g.

Assuming that the given mean and standard deviation have NOT changed, find the probability of randomly seleting 36 cigarettes with a mean of 0.861 g or less.
P(x-bar < 0.861 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?

  • No. The probability of obtaining this data is high enough to have been a chance occurrence.
  • Yes. The probability of this data is unlikely to have occurred by chance alone.
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