Question

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.) click the icon to view the frequency distributions. complete the following relative - frequency table. (round to the nearest percent as needed.)

tar (mg)	relative frequency (nonfiltered)	relative frequency (filtered)
10 - 14	0 %	4 %
15 - 19	8 %	20 %
20 - 24	0 %	72 %
25 - 29	52 %	0 %
30 - 34	28 %	0 %
35 - 39	12 %	0 %

do cigarette filters appear to be effective?
a. no, because the relative frequencies for each are not substantially different.
b. no, because the relative frequency of the higher tar classes is greater for filtered cigarettes.
c. yes, because the relative frequency of the higher tar classes is greater for nonfiltered cigarettes.
d. this cannot be determined.

Explanation:

Step1: Analyze relative frequencies

We observe that for higher - tar classes (25 - 29, 30 - 34, 35 - 39), the relative frequency for non - filtered cigarettes is 52%+28%+12% = 92%, while for filtered cigarettes it is 0%. For the 20 - 24 tar class, filtered has 72% and non - filtered has 0%.

Step2: Determine effectiveness

If filters are effective, we expect lower relative frequencies of higher - tar classes in filtered cigarettes. Since the relative frequency of the higher tar classes is greater for non - filtered cigarettes, filters appear to be effective.

Answer:

C. Yes, because the relative frequency of the higher tar classes is greater for nonfiltered cigarettes.