The amounts of nicotine in a certain brand of cigarette are normally distributed with a mean of 0.908 g and a standard deviation of 0.318 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 95% of amounts of nicotine in these cigarettes (assuming the mean has not changed)? Between ______ and ______. If you were to draw samples of size 47 from this population, in what range would you expect to find the middle 95% of most average amounts of nicotine in the cigarettes in the sample? Between ______ and ______.

Calculus For The Life Sciences
2nd Edition
ISBN:9780321964038
Author:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Publisher:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Chapter13: Probability And Calculus
Section13.3: Special Probability Density Functions
Problem 53E
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The amounts of nicotine in a certain brand of cigarette are normally distributed with a mean of 0.908 g and a standard deviation of 0.318 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 95% of amounts of nicotine in these cigarettes (assuming the mean has not changed)?
Between ______ and ______.

If you were to draw samples of size 47 from this population, in what range would you expect to find the middle 95% of most average amounts of nicotine in the cigarettes in the sample?
Between ______ and ______.

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