A new machine that fills tubes of toothpaste will be monitored using statistical process control. The following data were collected while the machine was closely monitored and under control. Each day a random sample of six tubes are weighed. Based on the data,the process mean is 6.752. 
What is the lower control limit for the x-bar chart rounded to three decimal places?
Definitions:
Manufacturing Overhead
Includes all the indirect costs associated with the production process, excluding direct materials and direct labor.
Assembly Division
A department or area within a manufacturing firm that is responsible for assembling the components of a product into a finished good.
Prorated
The allocation or division of amounts or costs proportionally according to a specific rate, size, or timeframe.
WIP
An acronym for Work In Progress, which refers to the materials and products that are in the process of being manufactured but are not yet complete.
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