The Weight of Crackers in a Box Is Stated to Be

question 2

Multiple Choice

The weight of crackers in a box is stated to be 450 grams.The amount that the packaging machine puts in the boxes is believed to have a Normal model with mean 465 grams and standard deviation 30 grams.What is the probability that the mean weight of a $50 - \mathrm { box }$ case of crackers is above 450 grams?

• A)0.0002
• B)0.9996
• C)0.9998
• D)0.0004
• E)0.9994

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Definitions:

Standard Deviation

A measure of the dispersion or variability in a set of data, indicating how much individual data points differ from the mean.

Stockout

A situation where the demand for a product exceeds the available supply, resulting in an inability to fulfill customer orders.

Sales Distribution

The process and system by which a company gets its products or services to its customers efficiently.

Optimal Order Size

The quantity of inventory that minimizes the total costs associated with ordering and holding inventory, often calculated using the Economic Order Quantity model.