Boxes of Chocolate Frosted Sugar Bombs are labeled as containing 500 g of cereal. Due to random fluctuations in the manufacturing process, the actual weight of the filled cereal boxes is normally distributed with a standard deviation of 14 g. (a) What is the probability that a randomly-selected box contains less than 475 g of cereal? (b) If regulations state that no more than 5% of the boxes may contain less than the stated weight, will this machine setting (500 g) allow the manufacturer to meet regulations? If not, then in order to compensate for manufacturing fluctuations, at what target weight should the machine be calibrated? Explain.

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Estimation

A new framework of data analysis where the new statistical methods are used for interpreting the results and analyzing the data is known as estimation in statistics.