This problem uses the empirical rule (68-97-99.7) and the alternate empirical rule (steps of 1/3 sigma) to obtain the answers.
The amounts of nicotine in a certain brand of cigarette are normally distributed with a mean of 0.887 g and a standard deviation of 0.315 g. The company that produces these cigarettes claims that it has now reduced the amount of nicotine.
In what range would you expect to find the middle 50% of amounts of nicotine in these cigarettes (assuming the mean has not changed)?
Between and .
If you were to draw samples of size 57 from this population, in what range would you expect to find the middle 50% of most average amounts of nicotine in the cigarettes in the sample?
Between and .
Enter your answers as numbers. Your answers should be accurate to 4 decimal places.
The amounts of nicotine in a certain brand of cigarette are normally distributed with a mean of 0.887 g and a standard deviation of 0.315 g. The company that produces these cigarettes claims that it has now reduced the amount of nicotine.
In what range would you expect to find the middle 50% of amounts of nicotine in these cigarettes (assuming the mean has not changed)?
Between and .
If you were to draw samples of size 57 from this population, in what range would you expect to find the middle 50% of most average amounts of nicotine in the cigarettes in the sample?
Between and .
Enter your answers as numbers. Your answers should be accurate to 4 decimal places.