Question

construct one table that includes relative frequencies based on the frequency distributions shown below, then compare the amounts of 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)
9 - 14
15 - 20
21 - 26
27 - 32
33 - 38
39 - 44

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

Explanation:

Step1: Recall relative - frequency formula

The relative frequency formula is $Relative\ Frequency=\frac{Frequency}{Total\ Frequency}\times100\%$. First, we need to find the total frequency for non - filtered and filtered cigarettes separately from the given frequency distributions (not shown here, but the process is the same). Let's assume the total frequency of non - filtered cigarettes is $T_{nf}$ and for filtered cigarettes is $T_f$.

Step2: Calculate relative frequencies for non - filtered

For each class of tar (mg) for non - filtered cigarettes, if the frequency of a class is $f_{nf}$, the relative frequency $RF_{nf}=\frac{f_{nf}}{T_{nf}}\times100\%$.

Step3: Calculate relative frequencies for filtered

For each class of tar (mg) for filtered cigarettes, if the frequency of a class is $f_{f}$, the relative frequency $RF_{f}=\frac{f_{f}}{T_{f}}\times100\%$.

Step4: Analyze effectiveness of filters

If the relative frequency of higher tar classes is greater for non - filtered cigarettes compared to filtered cigarettes, then filters are effective.

Answer:

We cannot complete the relative - frequency table without the actual frequency values. However, for the multiple - choice question about the effectiveness of filters:
A. Yes, because the relative frequency of the higher tar classes is greater for nonfiltered cigarettes.