5) A machine fill bags with cement. Assume actual masses of the bags follow a normal distribution. If the standard deviation of the amount dispensed is 1.5 lb and the mean is set to 50 lb, find: a)...

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Extracted text: 5) A machine fill bags with cement. Assume actual masses of the bags follow a normal distribution. If the standard deviation of the amount dispensed is 1.5 lb and the mean is set to 50 lb, find: a) What proportion of bags have a mass between 48.2 lb and 51.2 lb? b) 95% confidence interval for mean mass in a sample of 60 bags?