At the 0.05 level of significance, test for any significant differences.State the null and alternative hypotheses.O Ho: Not all the population means are equal.Ha: Design AO Ho: MDesign AHo:: At least two of the population means are equal.Ha: At least two of the population means are different.Ha: Design AHo: MDesign A=#Ha: Design A===MDesign B Design C#MDesign BMDesign B#==MDesign BDesign B +Design BDesign C=O Ho: MDesign ADesign CHa: Not all the population means are equal.Find the value of the test statistic. (Round your answer to two decimal places.)Design CDesign CDesign CFind the p-value. (Round your answer to three decimal places.)p-value =State your conclusion.Do not reject Ho. There is not sufficient evidence to conclude that there is a difference in design.Reject Ho. There is sufficient evidence to conclude that there is a difference in design.Reject Ho. There is not sufficient evidence to conclude that there is a difference in design.Do not reject Ho. There is sufficient evidence to conclude that there is a difference in design. In 2018, a consumer goods giant had more than 20 brands with more than $1 billion in annual sales. How does the company create so many successful consumer products? They effectively invests inresearch 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 theutility 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 studyand have the following estimated utilities (higher is preferred) for each of three different designs for a new whitening toothpaste.Respondent12345678910Design A24.631.431.815.420.741.027.120.231.624.4UtilitiesDesign B34.431.420.226.418.334.022.521.829.429.0Design C28.833.927.825.118.244.827.327.931.329.3At the 0.05 level of significance, test for any significant differences.

Answered: In 2018, a consumer goods giant had…

MATLAB: An Introduction with Applications

6th Edition

ISBN:9781119256830

Author:Amos Gilat

Publisher:Amos Gilat

Chapter1: Starting With Matlab

Section: Chapter Questions

Problem 1P

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