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:

Arapesh

A cultural group from the early anthropological literature, known for their emphasis on cooperation and peacefulness, located in Papua New Guinea.

Gender-neutral Traits

Characteristics or attributes that are not associated with or specific to one gender; they can be applicable to any person regardless of their gender.

Temporal Orientation

Refers to the cultural or individual way of perceiving and valuing time, focusing on the past, present, or future.

Sense of Place

The feelings, emotions, and associations that people have with a particular geographical location, which is shaped by cultural and personal experiences.