Though Only Seven Averages and Range Values Are Available, the Engineers

question 3

Essay

Though only seven averages and range values are available, the engineers studying the olive bottle filling process have decided to create X-bar and R charts for the samples measuring the air gap in the bottle. Upon viewing the charts, it became obvious that the 4^th point has an assignable cause. Investigation revealed that the corks for this batch had not been placed at the correct depth in the bottle, thus resulting in the large air gap exhibited by the 4^th point. Adjustments have been made to the machinery and this problem is not expected to reappear. Revise the control chart. Assume an assignable cause has been found for the 4^th point and remove this point from the chart. Calculate the new limits.

---

Definitions:

Differential Reinforcement

A behavioral technique that reinforces specific behaviors while extinguishing undesirable behaviors through rewards or punishment.

Ethnic Identity

An individual's sense of belonging to a particular ethnic group, including aspects of culture, heritage, and traditions.

African-American

A racial or ethnic group in the United States with ancestry from any of the black racial groups of Africa.

Gender Schema

A cognitive framework that organizes information relevant to gender, influencing how individuals perceive and interact with their social world.