A Quality Analyst Wants to Construct a Sample Mean Chart

question 12

Essay

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?

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Definitions:

Uric Acid

A chemical created when the body breaks down substances called purines, excessive amounts of which can lead to gout and kidney stones.

Osteons

Structural units within compact bone tissue, consisting of concentric layers of calcified matrix.

Coxal Bone

Also known as the hip bone, it forms the pelvis by joining with the sacrum and the coccyx at the base of the vertebral column.

Ilium

The most superior part of the hip bone. It is broad and flaring.