## Question

###### You are a market researcher for a cell phone case company; and are tasked with conducting experiments with potential consumers to test several prototypes your company has designed for the this year's new phones, and want to test to see if there is any difference in the value potential consumers place on the different designs: You are given 6 different prototype models of cell phone cases, and are able to sample 6 people per design: Your research yields a SSTotal of 29746.38, along with a s

You are a market researcher for a cell phone case company; and are tasked with conducting experiments with potential consumers to test several prototypes your company has designed for the this year's new phones, and want to test to see if there is any difference in the value potential consumers place on the different designs: You are given 6 different prototype models of cell phone cases, and are able to sample 6 people per design: Your research yields a SSTotal of 29746.38, along with a sum of square error (SSE) of 21974.92 Using this information, conduct a one way ANOVA test to determine if there is any difference between the values consumers place on the different cell phone case designs, using significance level of 5%. What is the correct interpretation of your analysis? There is significant differences between at least one of the designs of the cell phone cases (from the perspective of consumers) , since the F-statistic found in the analysis is less extreme than the critical value at the given confidence level. We cannot say that there is a significant differences between the designs of the cell phone cases (from the perspective of consumers), since the F-statistic found in the analysis is less extreme than the critical value at the given confidence level: At least one of the cell phone cases is significantly less valuable to consumers than the other cell phone cases, since the F-statistic found in the analysis is more extreme than the critical value at the given confidence level: