Consumer Preferences. In 2018, consumer goods giant Procter and Gamble (P&G) had more than 20 brands with more than $1 billion in annual sales (P&G website). How does a company like P&G create so many successful consumer products? P&G effectively invests in research and development to understand what consumers want. One method used to determine consumer preferences is called conjoint analysis. Conjoint analysis allows a company to ascertain the utility that a respondent in the conjoint study places on a design of a given product. The higher the utility, the more valuable a respondent finds the design. Suppose we have conducted a conjoint study and have the following estimated utilities (higher is preferred) for each of three different designs for a new whitening toothpaste. At the .05 level of significance, test for any significant differences.a. Use the Excel data analysis tool to perform the required test.b. What are the null and alternative hypothesis?c. What is the test statistic? What distribution does the test statistic follow?d. State your conclusions.

MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
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Chapter1: Starting With Matlab
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Consumer Preferences. In 2018, consumer goods giant Procter and Gamble (P&G) had more than 20 brands with more than $1 billion in annual sales (P&G website). How does a company like P&G create so many successful consumer products? P&G effectively invests in research and development to understand what consumers want. One method used to determine consumer preferences is called conjoint analysis. Conjoint analysis allows a company to ascertain the utility that a respondent in the conjoint study places on a design of a given product. The higher the utility, the more valuable a respondent finds the design. Suppose we have conducted a conjoint study and have the following estimated utilities (higher is preferred) for each of three different designs for a new whitening toothpaste. At the .05 level of significance, test for any significant differences.a. Use the Excel data analysis tool to perform the required test.b. What are the null and alternative hypothesis?c. What is the test statistic? What distribution does the test statistic follow?d. State your conclusions.
Utilities
Respondent
Design A
Design B
Design C
1
24.6
34.6
28.6
31.4
31.6
33.7
31.8
20.4
27.6
15.4
26.6
24.9
20.7
18.5
18.0
41.0
34.2
44.6
7
27.1
22.7
27.1
20.2
22.0
27.7
9
31.6
29.6
31.1
10
24.4
29.2
29.1
3.
4.
5.
6.
Transcribed Image Text:Utilities Respondent Design A Design B Design C 1 24.6 34.6 28.6 31.4 31.6 33.7 31.8 20.4 27.6 15.4 26.6 24.9 20.7 18.5 18.0 41.0 34.2 44.6 7 27.1 22.7 27.1 20.2 22.0 27.7 9 31.6 29.6 31.1 10 24.4 29.2 29.1 3. 4. 5. 6.
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