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:
Professionalism
The conduct, aims, or qualities that characterize or mark a profession or professional person; often involving competence, skill, and adherence to ethical standards.
Accountability
The obligation of individuals or organizations to account for their activities, accept responsibility for them, and disclose the results in a transparent manner.
Subjectiveness
The quality of being based on or influenced by personal feelings, tastes, or opinions rather than external facts.
Ethics
A branch of philosophy dealing with the principles of morality, defining what is good for individuals and society, and distinguishing right from wrong.
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