The amounts of nicotine in a certain brand of cigarette are normally distributed with a mean of 0.934 g and a standard deviation of 0.295 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 40 cigarettes with a mean nicotine amount of 0.845 g. assuming that the given mean and standard deviation have not changed, find the probability of randomly selecting 40 cigarettes with a mean of 0.845 g or less. p(m < 0.845 g) = enter your answer rounded to 3 decimal places. based on the result above, is it valid to claim that the actual mean amount of nicotine may lower than 0.934 g