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	%	%
15 - 19	%	%
20 - 24	%	%
25 - 29	%	%
30 - 34	%	%
35 - 39	%	%

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 interval of non - filtered cigarettes, if the frequency in the interval $5 - 9$ is $f_{nf1}$, then the relative frequency $RF_{nf1}=\frac{f_{nf1}}{T_{nf}}\times100\%$. Repeat this for all intervals of non - filtered cigarettes: $10 - 14$, $15 - 19$, $20 - 24$, $25 - 29$, $30 - 34$, $35 - 39$.

Step3: Calculate relative frequencies for filtered

For each class interval of filtered cigarettes, if the frequency in the interval $5 - 9$ is $f_{f1}$, then the relative frequency $RF_{f1}=\frac{f_{f1}}{T_{f}}\times100\%$. Repeat this for all intervals of filtered cigarettes: $10 - 14$, $15 - 19$, $20 - 24$, $25 - 29$, $30 - 34$, $35 - 39$.

Step4: Analyze effectiveness

Compare the relative frequencies of each interval for non - filtered and filtered cigarettes. If the relative frequencies of lower - tar intervals are higher for filtered cigarettes compared to non - filtered cigarettes, it indicates that the filters are effective in reducing the amount of tar ingested by the smoker.

Since the actual frequency distributions are not provided, we cannot calculate the exact values. But the general process is as above.

Answer:

Without the actual frequency values for non - filtered and filtered cigarettes in each interval, we cannot fill in the table. However, the steps to calculate the relative frequencies and analyze the effectiveness of filters are as described above.