The amounts of nicotine in a certain brand of cigarette are normally distributed with a mean of 0.936 g and a standard deviation of 0.328 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 35 cigarettes with a mean nicotine amount of 0.836 g.

Assuming that the given mean and standard deviationhave NOT changed, find the probability of randomly seleting 35 cigarettes with a mean of 0.836 gor less.

Round your answer 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.