Chapter 2, Problem 1RE

(a)

To determine

The number of participants in the survey.

Answer to Problem 1RE

Solution: There are 2216 individuals participating in the survey.

Explanation of Solution

By observing the graph provided in the textbook, it can be seen that the total participants are 2216. The calculation is shown below:

$\begin{array}{l}=614+154+1448\\ =2216\end{array}$

(b)

To determine

The relative frequency.

Answer to Problem 1RE

Solution: The relative frequency of those respondents who said that the kind of voice makes no difference is 65.3%.

Explanation of Solution

Relative frequency distribution helps in comparing the proportion of observations or frequencies in different class intervals. It is used to decipher which class interval has the greatest or lowest observations out of the entire data provided.

The formula to calculate relative frequency is shown below:

$\text{Relative frequency = }\frac{\text{Frequency}}{\text{Total frequency}}$

$\begin{array}{l}=\frac{1448}{2216}\\ =0.653\end{array}$

(c)

To determine

To draw: A pareto chart.

Answer to Problem 1RE

Solution: The pareto chart for the provided data is shown below:

Explanation of Solution

To construct a pareto chart on Excel, the steps listed below need to be followed:

Step 1: Enter the data in a new excel sheet.

Step 2: Select the data and click on Charts→Histogram. Choose the pareto chart.

The pareto chart will be obtained.

Conclusion: A pareto chart includes both line and bar graphs. The response or observation with the highest frequency will be listed first. The frequencies will decrease as one goes rightward. The line visible in the chart represents the cumulative frequency.

(d)

To determine

Whether the manufactures use the results.

Answer to Problem 1RE

Solution: Yes, they do use the results of the survey.

Explanation of Solution

According to the pareto chart, there is no preference for a type of voice. Majority of the respondents feel that voice does not affect the commercial.