Construct one table that includes relative frequencies based on the frequency distributions shown below, then compare the amounts of tar in nonfiltered and filtered cigarettes. Do the cigarette filters appear to be effective? (Hint: The filters reduce the amount of tar ingested by the smoker.)

Question

09-06-2022
Mathematics

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Construct one table that includes relative frequencies based on the frequency distributions shown below, then compare the amounts of tar in nonfiltered and filtered cigarettes. Do the cigarette filters appear to be effective? (Hint: The filters reduce the amount of tar ingested by the smoker.)

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Parrain Parrain · Answer 1 · 2022-06-20T21:36:49+02:00

Based on the relative frequency table that compares nonfiltered and filtered cigarettes, we can infer that cigarette filters are effective because they reduce larger tar amounts.

How can the relative frequency table be drawn?

Tar (mg) Relative Frequency Relative Frequency

(nonfiltered) (filtered)

6 - 11 0/ 25 = 0% 1 / 25 = 4%

12 - 17 0/ 25 = 0% 1 / 25 = 4%

18 - 23 2/ 25 = 8% 5 / 25 = 20%

24 - 29 1/ 25 = 4% 18 / 25 = 72%

30 - 35 13/ 25 = 52% 0 / 25 = 0%

36 - 41 6/ 25 = 24% 0 / 25 = 0%

42 - 47 3 / 25 = 12% 0 / 25 = 0%

Total 25 / 25 = 100% 25 / 25 = 100%

From the table, we can see that the unfiltered cigarette has higher tar amounts which means that cigarette filters are effective in reducing tar content.

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