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Question 5 Six different machines are being considered for use in manufacturing bottle caps. The tensile strength of the bottle cap produced by each machine is of interest. A random sample of 4 bottle caps produced by each machine was randomly selected and their tensile strength recorded. The ANOVA table below summarizes the results obtained. df Source of variation Machine Error Total A 18 23 SS F D G Mean square E 3.48 Fcal 0.307 a) Find F (hint find A and E) (3 marks) b) Test if there is a difference in the mean tensile strength between the bottle caps produced by the six machines. Use a = 0.025. (5 marks)