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NOTE: FOR THIS PROBLEM, I WOULD SUGGEST YOU USE TECHNOLOGY FOR THE MOST ACCURATE

ID: 3046417 • Letter: N

Question

NOTE: FOR THIS PROBLEM, I WOULD SUGGEST YOU USE TECHNOLOGY FOR THE MOST ACCURATE RESULTS. USING THE 68-95-99.7 RULE, WHICH IS ONLY AN ESTIMATE, MAY NOT PROVIDE RESULTS THAT ARE ACCURATE ENOUGH. The amounts of nicotine in a certain brand of cigarette are normally distributed with a mean of 0.958 g and a standard deviation of 0.326 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 80% of amounts of nicotine in these cigarettes (assuming the mean has not changed)? Between and Enter your answers in ascending order...smaller on left, larger on right. Also, enter your answers accurate to four decimal places.) If you were to draw samples of size 56 from this population, in what range would you expect to find the middle 80% of most average amounts of nicotine in the cigarettes in the sample? Between and (Enter your answers in ascending order...smaller on left, larger on right. Also, enter your answers accurate to four decimal places.)

Explanation / Answer

80% of data falls within 2 standard deviations from the mean

mean = 0.958 , sc= 0.326

mean +/- 2*s
0.958 +/- 2 * 0.326
Between 0.306 and 1.61