A Quality Analyst Wants to Construct a Sample Mean Chart

question 71

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:

Information Processing

The view in which cognitive processes are compared to the functions of computers. The theory deals with the input, storage, retrieval, manipulation, and output of information. The focus is on the development of children’s strategies for solving problems—their “mental programs.”

Theoretical Orientation

A specific set of beliefs, attitudes, and practices that guide a therapist or counselor in their approach to understanding clients' issues and helping them.

Deductive Logic

A method of reasoning from one or more statements (premises) to reach a logically certain conclusion, based on the principle that if the premises are true, the conclusion must be true.

Formal Operational

This refers to the final stage in Piaget's theory of cognitive development, where individuals (typically adolescents and adults) gain the ability to think abstractly, logically, and systematically.