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hi i was wondering if you could help me with these questions 5. A balanced-design study to evaluate the performance of different types of machines

hi i was wondering if you could help me with these questions

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5. A balanced-design study to evaluate the performance of different types of machines was conducted. Ratings of forty machines in total were measured. The average ratings of the age by style treatment combinations were recorded as below in Table 1. 5-1. Use the following data and draw the corresponding treatment means plot including labels for the x- and y-axis. Based on your graph, briefly comment about the study result including interactions between the two factors under consideration. (5 pts) Table 1. Average ratings Style A Style B Style C Style D age Old 6 8 9 10 12 New 11 8 15 5-2. Which of the following states the factor effects model corresponding to the experiment considered in question 5-1? w/2 pts) a) yijk = Hi. + Hj. + Hij + Eijk b) Vijk = Hij + (aB)ij + Eijk c) yijk = M. + di+ Bj+ lijk d) yijk = M. + ai + Bj + (aB)ij + Eijk e) yijk = M. + aiBj + (aB)ijt Eijk 5-3. Complete the following two-factor ANOVA table. (5 pts) Source df SS MS F Style 390 NA Age 120 4 Interaction Style* Age NA error NA total 1830 NA NA 5-4. Find an unbiased estimate for the "New" effect using the summary data. Briefly explain your estimate under the given context (use notations of your answer to 5-2 and show the calculations in detail). (5 pts)

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