Chapter 2, Problem 1RE

Effective Commercial Harris Interactive conducted a poll of U.S. adults and asked, “When there is a voiceover in a commercial, which type of voice is more likely to sell me a car?” Results of the survey are in the bar graph.

1. a. How many participants were in the survey?
2. b. What is the relative frequency of the respondents who indicated that it made no difference which voice they heard?
3. c. Redraw the graph as a Pareto chart.
4. d. Research automotive commercials. Do you believe that auto manufacturers use the results of this survey when developing their commercials?

To determine

To find: The number of participants in the survey.

Answer to Problem 1RE

There are 2,216 participants in the survey.

Explanation of Solution

Given info:

Harris interactive conducted a survey and asked U.S adults about their opinion of voice of gender in selling a car that which voice will make them to sell the car. And the bar chart is drawn based on their response.

Calculation:

In the survey, there are 3 categories. That is, the people who get impressed by male voice and the people who get impressed by female voice, and the people who have no difference.

The total number of participants is as follows:

$\left(\begin{array}{l}\text{Total number}\\ \text{of participants}\end{array}\right)=\left\{\begin{array}{l}\left(\begin{array}{l}\text{Number}\text{of}\text{participants}\\ \text{answered}\text{male}\text{voice}\end{array}\right)+\left(\begin{array}{l}\text{Number}\text{of}\text{participants}\\ \text{answered}\text{female}\text{voice}\end{array}\right)\\ +\left(\begin{array}{l}\text{Number}\text{of}\text{participants}\\ \text{who}\text{have}\text{no}\text{difference}\text{in}\text{voice}\end{array}\right)\end{array}\right\}$

Substitute “614” for the number of participants who answered “male voice”, “154” for those who answered “female voice”, and “1,448” for those who had no difference.

$\begin{array}{c}\left(\begin{array}{l}\text{Total number}\\ \text{of participants}\end{array}\right)=614+154+1,448\\ =2,216\end{array}$

Thus, the number of participants in the survey is 2,216.

To determine

To find: The relative frequency of participants who responded to that voice difference did not make a change.

Answer to Problem 1RE

The relative frequency of participants who responded to no difference of voice is 0.653.

Explanation of Solution

Calculation:

The general formula for the relative frequency is as follows:

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

Substituting the number of participants who did not have any difference with voice “1,448”, as the frequency and total number of participants “2,216” as total frequency in relative frequency.

$\begin{array}{c}\left\{\begin{array}{l}\text{Relative}\text{frequency}\text{of}\text{the}\text{response}\\ \text{that}\text{the}\text{voice}\text{did not make}\text{any}\text{change}\end{array}\right\}=\frac{1,448}{2,216}\\ =0.653\end{array}$

Thus, the relative frequency of response that voice did not make any change is 0.653.

To determine

To construct: A Pareto chart.

Answer to Problem 1RE

Output obtained from MINITAB is given below:

Explanation of Solution

Calculation:

Software Procedure:

Step-by-step procedure to draw the Pareto chart using the MINITAB software:

• Choose Stat > Quality Tools > Pareto Chart.
• Enter the corresponding column in Defects or attribute data in.
• In Frequencies in, enter a frequency.
• Click OK.

Observation:

The Pareto chart shows that the maximum number of respondents does not have any difference with the gender voice, and the minimum number of people is more likely to sell if it is a female voice.

To determine

To describe: The opinion that whether the auto manufacturers will use the survey results or not.

Answer to Problem 1RE

Yes, the auto manufacturers use the results of this survey when developing their commercials.

Explanation of Solution

Answers will vary. One of the possible answers is given below:

Yes, may be auto manufacturers will use these results for their better benefits while developing their commercials.