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Sigma-G is a car component manufacturing company. The company wants to ensure the specification of the component average weight as 6 grams, which it produces. The production control supervisor collected a sample of 17 components, which shows that the components average weight is 6.03 grams with a standard deviation.10. He proceeds to test the specification of the components average weight with these sample data for a level of significance α .05. a) As an employee of this company can you assist him with your statistical hypothesis testing knowledge? (6 marks) b) What assumption you should consider doing the test? (2 marks) c) Write the Null and Alternative Hypothesis if the production control supervisor wants to test whether the average weight is less than 6 grams. (2 marks)

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