A Quality Analyst Wants to Construct a Sample Mean Chart

question 135

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:

Pursuing Goals

The act of setting objectives and making efforts to achieve them.

Mental State

The condition of one's mind in terms of thoughts, feelings, and emotions at a given time.

Decision Making

The cognitive process of selecting a course of action from among multiple alternatives, often involving judgment, problem-solving, and considering the potential outcomes.

Pros

The advantages or positive aspects of a situation or decision.