The amounts of nicotine in a certain brand of cigarette are normally distributed with a mean of 0.974 g and a standard deviation of 0.284 g. The company that produces these cigarettes claims that it...

The amounts of nicotine in a certain brand of cigarette are normally distributed with a mean of 0.974 g and a standard deviation of 0.284 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 34 cigarettes with a mean nicotine amount of 0.896 g.


Assuming that the given mean and standard deviationhave NOT changed, find the probability of randomly seleting 34 cigarettes with a mean of 0.896 gor less.
P(M < 0.896="" g)="">
Enter your answer as a number accurate to 4 decimal places. NOTE: Answers obtained using exactz-scores orz-scores rounded to 3 decimal places are accepted.