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A sample of fifty lenses yields a mean thickness of 3

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A sample of fifty lenses yields a mean thickness of 3.05 mm and a standard deviation of 0.34 mm. The desired mean thickness of the lenses is 3.20 mm. (i) By setting up suitable hypothesis statements, conduct a hypothesis test to determine if the desired mean thickness for the lenses are met at the a = 0.05 significance level. (7 marks) (ii) Verify your answer in part (c)(i) using the confidence interval method. (4 marks)