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.
complete the following relative frequency table.
(round to the nearest percent as needed.)
| tar (mg) | relative frequency (nonfiltered) | relative frequency (filtered) |
| ---- | ---- | ---- |
| 5 - 9 | % | % |
| 10 - 14 | % | % |
| 15 - 19 | % | % |
| 20 - 24 | % | % |
| 25 - 29 | % | % |
| 30 - 34 | % | % |
| 35 - 39 | % | % |
frequency distributions
| tar (mg) in nonfiltered cigarettes | frequency | tar (mg) in filtered cigarettes | frequency |
| ---- | ---- | ---- | ---- |
| 15 - 19 | 2 | 5 - 9 | 1 |
| 20 - 24 | 0 | 10 - 14 | 1 |
| 25 - 29 | 13 | 15 - 19 | 5 |
| 30 - 34 | 7 | 20 - 24 | 18 |
| 35 - 39 | 3 | | |

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.
complete the following relative frequency table.
(round to the nearest percent as needed.)
| tar (mg) | relative frequency (nonfiltered) | relative frequency (filtered) |
| ---- | ---- | ---- |
| 5 - 9 | % | % |
| 10 - 14 | % | % |
| 15 - 19 | % | % |
| 20 - 24 | % | % |
| 25 - 29 | % | % |
| 30 - 34 | % | % |
| 35 - 39 | % | % |
frequency distributions
| tar (mg) in nonfiltered cigarettes | frequency | tar (mg) in filtered cigarettes | frequency |
| ---- | ---- | ---- | ---- |
| 15 - 19 | 2 | 5 - 9 | 1 |
| 20 - 24 | 0 | 10 - 14 | 1 |
| 25 - 29 | 13 | 15 - 19 | 5 |
| 30 - 34 | 7 | 20 - 24 | 18 |
| 35 - 39 | 3 |  |  |

Accepted Answer

# Explanation:
## Step1: Calculate total frequency for non - filtered cigarettes
Add up the frequencies of non - filtered cigarettes: $2 + 0+13 + 7+3=25$.
## Step2: Calculate relative frequencies for non - filtered cigarettes
For the $15 - 19$ range: $\frac{2}{25}	imes100\% = 8\%$.
For the $20 - 24$ range: $\frac{0}{25}	imes100\% = 0\%$.
For the $25 - 29$ range: $\frac{13}{25}	imes100\% = 52\%$.
For the $30 - 34$ range: $\frac{7}{25}	imes100\% = 28\%$.
For the $35 - 39$ range: $\frac{3}{25}	imes100\% = 12\%$.
## Step3: Calculate total frequency for filtered cigarettes
Add up the frequencies of filtered cigarettes: $1+1 + 5+18=25$.
## Step4: Calculate relative frequencies for filtered cigarettes
For the $5 - 9$ range: $\frac{1}{25}	imes100\% = 4\%$.
For the $10 - 14$ range: $\frac{1}{25}	imes100\% = 4\%$.
For the $15 - 19$ range: $\frac{5}{25}	imes100\% = 20\%$.
For the $20 - 24$ range: $\frac{18}{25}	imes100\% = 72\%$.
|Tar (mg)|Relative Frequency (Non - filtered)|Relative Frequency (Filtered)|
|---|---|---|
|$5 - 9$|0%|4%|
|$10 - 14$|0%|4%|
|$15 - 19$|8%|20%|
|$20 - 24$|0%|72%|
|$25 - 29$|52%|0%|
|$30 - 34$|28%|0%|
|$35 - 39$|12%|0%|
# Answer:
|Tar (mg)|Relative Frequency (Non - filtered)|Relative Frequency (Filtered)|
|---|---|---|
|$5 - 9$|0%|4%|
|$10 - 14$|0%|4%|
|$15 - 19$|8%|20%|
|$20 - 24$|0%|72%|
|$25 - 29$|52%|0%|
|$30 - 34$|28%|0%|
|$35 - 39$|12%|0%|

Sovi.AI - AI Math Tutor

QUESTION IMAGE

Question

Explanation:

Step1: Calculate total frequency for non - filtered cigarettes

Step2: Calculate relative frequencies for non - filtered cigarettes

Step3: Calculate total frequency for filtered cigarettes

Step4: Calculate relative frequencies for filtered cigarettes

Answer:

Tar (mg)	Relative Frequency (Non - filtered)	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%