A quality analyst wants to construct a sample mean chart for controlling a packaging process.He knows from past experience that when the process is operating as intended,packaging weight is normally distributed with a mean of twenty ounces,and a process standard deviation of two ounces.Each day last week,he randomly selected four packages and weighed each.The data from that activity appears below. 
(a)If he sets an upper control limit of 21 and a lower control limit of 19 around the target value of twenty ounces,what is the probability of concluding that this process is out of control when it is actually in control?
(b)With the UCL and LCL of part a,what do you conclude about this process-is it in control?
Definitions:
Guardian of Trade-Offs
A role or perspective in decision-making that emphasizes the careful consideration and management of competing interests or values.
Sense of Urgency
The perception and drive to act promptly and efficiently, often to meet critical deadlines or solve pressing problems, fostering a culture of immediacy and responsiveness.
Corporate Strategies
High-level plans and actions undertaken by a company to achieve its business objectives and to gain competitive advantage.
Present Day
Refers to the current period or the actual time in which something takes place or is considered.
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