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The can filling machine was very accurate, with an average filling weight of 400g and a standard deviation of 20g. The The operation manager takes

The can filling machine was very accurate, with an average filling weight of 400g and a standard deviation of 20g. The The operation manager takes a random sample of 50 cans and finds that the sample mean filling weight is 395g.

a) What is the probability of obtaining a sample mean of 395g or less?

b) The operations manager then wanted to know what probability is to obtaining a sample mean between 396g and 402g?

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