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:

Non-Compliance

Failure or refusal to act in accordance with set rules, regulations, or standards.

Fair Adjustment

An equitable modification or change made to resolve a dispute or correct an imbalance.

Inconvenience

A minor annoyance or difficulty that causes discomfort or trouble, often disrupting plans or activities.

Anger

A strong feeling of displeasure or hostility triggered by what is perceived as wrong, injustice, or frustration.