(a) A company is considering selecting a single provider for the printing of its publicity leaflets. Eight types of leaflets are allocated at random to each of five providers for printing and their printing quality scores are recorded. Based on the 40 quality scores, the SS(Total) and SST have been calculated as 18000 and 13000, respectively, for an one-way ANOVA. Complete the following ANOVA table (Q5): Table Q5 SOURCE df SS MS F Treatments Error p-1 n-p SST SSE MST MSE MST/MSE Total n-1 SS(Total) [40%] (b) Use the F-distribution table attached in Fig. Q5 overleaf to determine if there is a significant difference amongst the five different types of printers (significance level=0.05). [30%] (c) State two assumptions that are necessary in order for the above ANOVA to be valid. [20%] (d) The company uses leaflets that are of four different types of printing difficulty: complex colour, two colour, single colour, and black & white. If the company wishes to compare printing providers also taking into account the type of printing difficulty, name the new experimental design that the company should now use.