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A machine fills containers with a mean weight per container of 16 oz. Assume that weights...

A machine fills containers with a mean weight per container of 16 oz. Assume that weights are normally distributed and the machine is calibrated so that 2.5% of containers filled by the machine weigh less than 15.6 oz. (a) What is the standard deviation of the container weights? (b) What is the probability that a container weighs at least 15.8 oz? (c) What is the probability that the average weight of 9 containers is at least 15.8 oz? (d) What is the probability that the average weight of 25 containers is at least 15.8 oz?

Math   Statistics-And-Probability   
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