The next 4 questions refer to the following situation: In the provided blank, Insert the letter that corresponds to the correct answer. For example, If the correct answer Is "3) 1.990 ", Insert only "a" as the correct answer. The marketing department of a company has designed four differem boxes (treatments, A) for its product. It wants to determine which box will produce the largest amount of sales. Each box will be test marketed in ve different stores (blocks, B) for a period of a month. The following information may be useful to answer the next questions (use a level of significance equal to 0.05), SSMBoxes) = 24,667.20 SSB($tores) = 711.07 SSE = 2,022.14 The sample mean for boxes 1, 2, 3, and 4 are 51150, $1250, $1200, and $1300 respectively I. State the null hypothesis for this test. The letter associated with the correct answer is b 3)u1:p2:p3 b)pl=,u2=p3=,u4 c) ul=u2= =u4=u5 '3 u1 = u2 = uzo e) None of the above II. Compute the critical and estimate value when testing for the significant effects due to the four different boxes. The letter associated with the correct answer is a) 3.26 and 21.76 respectively b) 3.49 and 48.79 respectively c) 4.10 and 14.60 respectively d) 4.46 and 48.79 respectively e) None of the above III. The decision and the implication are. The letter associated with the correct answer is a) Reject the null hypothesis, at least one mean (out of four) is different. b) Reject the null hypothesis, there is not a significant difference among the four different means. c) Reject the null hypothesis, there is not a significant difference among the five different means. d) Reject the null hypothesis, at least one (out of live) mean is different. e) None of the above IV. Which of the four designed boxes will produce the largest amount of sales. if any? The letter associated with the correct answer is a) Box 4 b) Box 3 0) Box 2 d) It doesn't matter because there is not a significant difference among the boxes e) None of the above