The amounts of nicotine in a certain brand of cigarette are normally distributed with a mean of 0.905 g and a standard deviation of 0.296 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 49 cigarettes with a mean nicotine amount of 0.829 g.

Assuming that the given mean and standard deviation have NOT changed, find the probability of randomly seleting 49 cigarettes with a mean of 0.829 g or less.
P(M < 0.829 g) =
Enter your answer as a number accurate to 4 decimal places. NOTE: Answers obtained using exact z-scores or z-scores rounded to 3 decimal places are accepted.

Based on the result above, is it valid to claim that the amoutn of nicotine is lower?