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In: Statistics and Probability

The amounts of nicotine in a certain brand of cigarette are normally distributed with a mean...

The amounts of nicotine in a certain brand of cigarette are normally distributed with a mean of 0.911 g and a standard deviation of 0.297 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 54 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 ____ .

A manufacturer knows that their items have a normally distributed lifespan, with a mean of 6.1 years, and standard deviation of 1.5 years.

If 17 items are picked at random, 4% of the time their mean life will be less than how many years?

Give your answer to one decimal place

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