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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.)

7-11 Relative Frequency (nonfiltered) Relative Frequency (filtered)
12-16
17-21
22-26
27-31
32-36
37-41

Relative Frequency (filtered)

As regards the effectiveness of the cigarette filters, we can say that Yes, because the relative frequency of the higher tar classes is greater for nonfiltered cigarettes.

What does the Frequency table show?

There are 25 filtered and 25 nonfiltered cigarettes.

Tar (mg) Relative Frequency (nonfiltered) Relative Frequency(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%

We can therefore see that cigarette filters are effective because they reduced the amount of higher tar classes as opposed to nonfiltered cigarettes.

Find out more on frequency tables at https://brainly.com/question/17114842.

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