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The amounts of nicotine in a certain brand of cigarette are normally distributed with a mean of 9.7 mg and a standard deviation of 1.51

The amounts of nicotine in a certain brand of cigarette are normally distributed with a mean of 9.7 mg and a standard deviation of 1.51 mg. The company that produces these cigarettes claims that it has now reduced the amount of nicotine. The supporting evidence consists of a sample of 45 cigarettes with a mean nicotine amount of 9.272 mg. Assuming that the given mean and standard deviation have NOT changed, find the probability of randomly seleting 45 cigarettes with a mean of 9.272 mg or less. P(M < 9.272 mg) =

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