Question 3 Alimula Company Ltd. wants to know if there is consistency in their operations. They want to know if the thickness of the insulation which covers three bands A, B and C wires which are now competing in the market have similar means. Using a sample of five randomly selected pieces of wire for each brand and carefully measuring the thickness of the insulation in millimetres (mm) the following results were obtained: 4.5 BRAND BRAND BRAND A B 4.8 4.0 4.7 4.9 4.8 3.9 3.8 5.2 4.2 5.5 4.9 4.4 4.7 4.5 22.0 23.4 23.4 Total A. State the null (Ho) and alternative (Hi) hypothesis for this ANOVA test and indicate the degrees of freedom for errors (v1 and v2), that should be used to conduct the test (using the F-Distribution) if testing at the 5% level of significance. (2 marks) B. Calculate the total sum of squares error, (SST) (4 marks) C. Calculate the between sample sum of squares error, (SSB) (3 marks) D. Calculate the within sample sum of the squares error, (SSw) (2 marks) E. Calculate the between sample mean square error, (MSB) (2 marks) F. Calculate the within sample mean square error, (MSW) (2 marks) G. Calculate the F-value (F-Statistic) for the test. (2 marks) H. State the conclusion by making a statement about the means based on the calculated F- value (F-Statistic), given that the F-Critical value from the table was presented as 3.8853. (3 marks) (Total 20 marks)