Question

7. 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.)

Complete the relative frequency table below.

Tar​ (mg)	Relative Frequency ​(Nonfiltered)	Relative Frequency ​(Filtered)
2- 6	​%	​%
7-11	​%	​%
12- 16	%	​%
17- 21	​%	​%
22- 26	​%	​%
27- 31	​%	​%
32- 36	​%	​%

Frequency Distributions

Tar​ (mg) in Nonfiltered Cigarettes	Frequency		Tar​ (mg) in Filtered Cigarettes	Frequency
12−16	2		2−6	1
17−21	2		7−11	1
22−26	13		12-16	5
27−31	6		17−21	18
32- 36	2

Answer 1

The cigarette filters appear to be more effective. The average amount of Tar in Nonfiltered cigarettes lie at the central part of the distribution of range 12 to 36 mgs, whereas this amount in Filtered cigarettes lie at the central part of the distribution of range 2 to 21 mgs. Hence, the amount of Tar reduces in Filtered cigarettes.