Question: answer this question 2. Two extrusion machines, namely Machine X and Machine Y, that manufacture steel rods are being compared. In a sample of 1000

answer this question

answer this question 2. Two extrusion machines, namely Machine X and Machine

2. Two extrusion machines, namely Machine X and Machine Y, that manufacture steel rods are being compared. In a sample of 1000 rods taken from Machine X, 930 are met the specification while in a sample of 600 rods taken from Machine Y, 570 are met the specification. Machine Y is more expensive to run, so it is decided that Machine X will be used unless it can be convincingly shown if Machine Y produces more proportion of rods that met the specifications. (i) Conduct a necessary test at 1% significance level for Machine Y produces more proportion of rods that met the specifications as compared to Machine X. (10 Marks) (ii) Based on your answer in (i), which machine should be used? (1 Mark)

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