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:
Family Values
A set of moral and social norms and beliefs traditionally upheld within a family, emphasizing responsibilities, ethics, and cultural heritage.
Marriage
A formally recognized bond between two spouses, establishing contractual rights and obligations between them.
Endogamy
A social norm that requires individuals to marry within a specific social group, class, or ethnicity to maintain cultural homogeneity.
Propinquity
The physical or psychological proximity between people, often leading to friendship or other relationships due to the increased likelihood of interaction.
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