Suppose you are a market analyst for a company that produces headphones, and want to determine if customers value different prototype designs differently on average. You are provided 8 different prototype models of the latest headset, and are able to sample 16 people per prototype and ask them to provide their rating based on a particular scale. Research yields a SSTotal of 96473, along with a sum of square error (SSE) of 83662. Using this information, conduct a one-way ANOVA test to determine if there is any difference between the average values consumers place on the different headphone designs, using a significance level of 1%. Select the correct statements regarding your analysis. When necessary, round your answers to two decimal places. Select all choices that apply. The critical value of this analysis is 2.79. The F-statistic of this analysis is equal to 2.96. The null hypothesis of this test cannot be rejected, as the F-statistic is smaller than the critical value. At least one of the prototypes provides significantly more or less value to consumers, as the F statistic is greater than the critical val At least one of the prototypes provides significantly less value to consumers, as the F statistic is less than the critical value. The MSE of this analysis is equal to 697.18. The MST of this analysis is equal to 1617.19.