Question

construct one table that includes relative frequencies based on the frequency distributions shown below, then compare the amounts of tar in non - filtered 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. do cigarette filters appear to be effective? a. yes, because the relative frequency of the higher tar classes is greater for non - filtered 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: Analyze relative - frequency data

We observe the relative frequencies for non - filtered and filtered cigarettes across different tar intervals.

Step2: Compare relative frequencies

For non - filtered cigarettes, higher relative frequencies are in the higher tar classes (e.g., 25 - 29: 32%, 30 - 34: 24%, 35 - 39: 12%). For filtered cigarettes, the relative frequencies are more evenly distributed and lower in the higher tar classes.

Step3: Determine effectiveness

If the filters were not effective, we would expect similar relative - frequency patterns for non - filtered and filtered cigarettes. Since the relative frequencies for higher tar classes are much lower for filtered cigarettes, the filters appear to be effective.

Answer:

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