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 redue the amount of tar ingested by the smoker.) E Click the icon to view the frequency distributions. Complete the relative frequency table below. Relative Relative Frequency (Nonfiltered) Frequency Tar (mg) (Filtered) 3-7 % % 8- 12 % % 13-17 % % O Frequency Distributions 18 - 22 % % 23 - 27 % 28 - 32 % Tar (mg) in Filtered Cigarettes Frequency 3-7 8- 12 13-17 Tar (mg) in Nonfiltered 33 - 37 % % Cigarettes Frequency 13 - 17 18 - 22 23 - 27 (Simplify your answers.) 2 1 13 5 28 - 32 6. 18 -22 18 33 - 37 Print Done

MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
Section: Chapter Questions
Problem 1P
icon
Related questions
Question

2.1/7

### Frequency Distributions and Relative Frequency Table Construction

In this section, we will construct one table that includes relative frequencies based on the given frequency distributions for both nonfiltered and filtered cigarettes. Following the construction, we will compare the amounts of tar in nonfiltered and filtered cigarettes to evaluate the effectiveness of cigarette filters. 

#### Step-by-Step Instructions:

1. **View the Provided Frequency Distributions**:
   - The frequency distributions for nonfiltered and filtered cigarettes are provided.

2. **Calculate Relative Frequencies**:
   - Relative frequency is calculated by dividing the frequency of each category by the total frequency, then multiplying by 100 to get the percentage.

#### Given Frequency Distributions:

- **Nonfiltered Cigarettes**:
  - 13–17 mg: 2
  - 18–22 mg: 0
  - 23–27 mg: 13
  - 28–32 mg: 6
  - 33–37 mg: 4

- **Filtered Cigarettes**:
  - 3–7 mg: 1
  - 8–12 mg: 1
  - 13–17 mg: 5
  - 18–22 mg: 18

#### Frequency Distribution Breakdown:
The frequency distributions are visually represented in a table, where each row indicates the frequency of observed tar levels in milligrams (mg) for both nonfiltered and filtered cigarettes.

#### Create the Relative Frequency Table:
The relative frequency table is divided into two sections for nonfiltered and filtered cigarettes respectively. You need to fill in the relative frequencies (expressed as percentages) calculated from the given data.

| Tar (mg) | Relative Frequency (Nonfiltered) | Relative Frequency (Filtered) |
|----------|-----------------------------------|-------------------------------|
|  3 – 7   |                                   |                               |
|  8 – 12  |                                   |                               |
| 13 – 17  |                                   |                               |
| 18 – 22  |                                   |                               |
| 23 – 27  |                                   |                               |
| 28 – 32  |                                   |                               |
| 33 – 37  |                                   |                               |

(Simplify your answers.)

To calculate these values accurately:
- Compute the total frequencies for both nonfiltered and filtered cigarettes.
- For each tar mg range, divide the frequency by the total and multiply by 100 to convert it to a percentage.

#### Comparison
Transcribed Image Text:### Frequency Distributions and Relative Frequency Table Construction In this section, we will construct one table that includes relative frequencies based on the given frequency distributions for both nonfiltered and filtered cigarettes. Following the construction, we will compare the amounts of tar in nonfiltered and filtered cigarettes to evaluate the effectiveness of cigarette filters. #### Step-by-Step Instructions: 1. **View the Provided Frequency Distributions**: - The frequency distributions for nonfiltered and filtered cigarettes are provided. 2. **Calculate Relative Frequencies**: - Relative frequency is calculated by dividing the frequency of each category by the total frequency, then multiplying by 100 to get the percentage. #### Given Frequency Distributions: - **Nonfiltered Cigarettes**: - 13–17 mg: 2 - 18–22 mg: 0 - 23–27 mg: 13 - 28–32 mg: 6 - 33–37 mg: 4 - **Filtered Cigarettes**: - 3–7 mg: 1 - 8–12 mg: 1 - 13–17 mg: 5 - 18–22 mg: 18 #### Frequency Distribution Breakdown: The frequency distributions are visually represented in a table, where each row indicates the frequency of observed tar levels in milligrams (mg) for both nonfiltered and filtered cigarettes. #### Create the Relative Frequency Table: The relative frequency table is divided into two sections for nonfiltered and filtered cigarettes respectively. You need to fill in the relative frequencies (expressed as percentages) calculated from the given data. | Tar (mg) | Relative Frequency (Nonfiltered) | Relative Frequency (Filtered) | |----------|-----------------------------------|-------------------------------| | 3 – 7 | | | | 8 – 12 | | | | 13 – 17 | | | | 18 – 22 | | | | 23 – 27 | | | | 28 – 32 | | | | 33 – 37 | | | (Simplify your answers.) To calculate these values accurately: - Compute the total frequencies for both nonfiltered and filtered cigarettes. - For each tar mg range, divide the frequency by the total and multiply by 100 to convert it to a percentage. #### Comparison
Expert Solution
trending now

Trending now

This is a popular solution!

steps

Step by step

Solved in 2 steps

Blurred answer
Knowledge Booster
Measurement
Learn more about
Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, statistics and related others by exploring similar questions and additional content below.
Recommended textbooks for you
MATLAB: An Introduction with Applications
MATLAB: An Introduction with Applications
Statistics
ISBN:
9781119256830
Author:
Amos Gilat
Publisher:
John Wiley & Sons Inc
Probability and Statistics for Engineering and th…
Probability and Statistics for Engineering and th…
Statistics
ISBN:
9781305251809
Author:
Jay L. Devore
Publisher:
Cengage Learning
Statistics for The Behavioral Sciences (MindTap C…
Statistics for The Behavioral Sciences (MindTap C…
Statistics
ISBN:
9781305504912
Author:
Frederick J Gravetter, Larry B. Wallnau
Publisher:
Cengage Learning
Elementary Statistics: Picturing the World (7th E…
Elementary Statistics: Picturing the World (7th E…
Statistics
ISBN:
9780134683416
Author:
Ron Larson, Betsy Farber
Publisher:
PEARSON
The Basic Practice of Statistics
The Basic Practice of Statistics
Statistics
ISBN:
9781319042578
Author:
David S. Moore, William I. Notz, Michael A. Fligner
Publisher:
W. H. Freeman
Introduction to the Practice of Statistics
Introduction to the Practice of Statistics
Statistics
ISBN:
9781319013387
Author:
David S. Moore, George P. McCabe, Bruce A. Craig
Publisher:
W. H. Freeman