A Quality Analyst Wants to Construct a Sample Mean Chart

question 50

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:

Dual Process Approach

A theory proposing that human cognition operates through two distinct types of processes: automatic, intuitive thinking (System 1), and deliberate, analytical reasoning (System 2).

Process 1

Often referred to as the initial, automatic, and intuitive response or thought process that occurs without deliberate analytical effort.

Biases

A tendency or partiality that favors or discriminates against something, someone, or a group over another, often in a manner deemed to be unjust.

Judgments

Assessments or opinions formed by considering facts, observations, and arguments.