The mass of vitamin E in a capsule manufactured by a certain drug company is normally distributed

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The mass of vitamin E in a capsule manufactured by a certain drug company is normally distributed with standard deviation 0.042 mg. A random sample of five capsules was analysed and the mean mass of vitamin E was found to be 5.12 mg. Calculate a symmetric 95% confidence interval for the population mean mass of vitamin E per capsule. Give the values of the end-points of the interval correct to three significant figures. (C)

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