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:
Standard Normal Distribution
A normal distribution with a mean of 0 and a standard deviation of 1, used as a basis for comparison in statistical analysis.
Standard Normal Distribution
is a symmetrical distribution with a mean of 0 and a standard deviation of 1, widely used in statistical analysis.
Stereochemistry
Refers to the study of the spatial arrangements of atoms in molecules and their effects on the chemical and physical properties of substances.
Organic Product
A compound that results from organic reactions, often characterized by the presence of carbon atoms bonded to hydrogen, oxygen, or other carbon atoms.
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