Math  /  Data & Statistics

Questionist 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.) \begin{tabular}{ccc} Tar (mg) & \begin{tabular}{c} Relative \\ Frequency \\ (Nonfiltered) \end{tabular} & \begin{tabular}{c} Relative \\ Frequency \\ (Filtered) \end{tabular} \\ \hline 494-9 & %\square \% & %\square \% \\ 101510-15 & %\square \% & %\square \% \\ 162116-21 & %\square \% & %\square \% \\ 222722-27 & %\square \% & %\square \% \\ 283328-33 & %\square \% & %\square \% \\ 343934-39 & %\square \% & %\square \% \\ 404540-45 & %\square \% & %\square \% \end{tabular}
Frequency bistributions \begin{tabular}{|c|c|c|c|c|} \hline & & & & \multirow[t]{9}{*}{ 만 } \\ \hline Tar (mg) in & & Tar (mg) in & & \\ \hline Nonfiltered & & Filtered & & \\ \hline Cigarettes & Frequency & Cigarettes & Frequency & \\ \hline 162116-21 & 1 & 4 -9 & 3 & \\ \hline 222722-27 & 0 & 101510-15 & 3 & \\ \hline 283328-33 & 16 & 16-21 & 7 & \\ \hline 34-39 & 7 & 22-27 & 12 & \\ \hline 404540-45 & 1 & & & \\ \hline \end{tabular}
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Studdy Solution
Compare the relative frequencies between nonfiltered and filtered cigarettes to determine the effectiveness of the filters.
- For nonfiltered cigarettes, the highest relative frequency is in the 283328-33 mg range (64%). - For filtered cigarettes, the highest relative frequency is in the 222722-27 mg range (48%).
The filtered cigarettes have a significant reduction in the relative frequencies of higher tar content categories compared to nonfiltered cigarettes, indicating that the filters are effective in reducing the amount of tar ingested by the smoker.

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