The mean of the sample means and the pooled standard deviation of 36 samples of size 9 taken from a production process under control are 
,and S = 6,respectively.The lower control limit of the 3-sigma 
chart is 147.
Definitions:
Operational Reasoning
The stage of cognitive development, as identified by Piaget, in which children develop the ability to think logically about abstract concepts and concrete events.
Metacognition
The awareness and understanding of one's own thought processes, often referred to as "thinking about thinking."
Hypothetical-Deductive Reasoning
A method of problem-solving that involves forming hypotheses and deducing their implications to see if they match with real-world facts.
Hypothetical-Deductive Reasoning
A method of problem solving or decision making that starts with a hypothetical situation and deduces logical outcomes.
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