A Quality Analyst Wants to Construct a Sample Mean Chart

question 62

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 appear 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,the control chart is based on what value of z?
(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:

Completeness

In decision theory, the idea that every set of choices can be ranked in an order of preference, allowing for a consistent choice under different scenarios.

Indifference Curve

A graph representing combinations of goods among which a consumer is indifferent, reflecting their preferences and utility.

Utility

In economics, the satisfaction or benefit derived by consuming a product or service; a measure of preferences over some set of goods and services.

Budget Line

A graphical representation of all possible combinations of two goods that an individual can afford with a given income and prices.