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Twenty-Five Samples of Size 4 Were Drawn from a Production

question 53

Short Answer

Twenty-five samples of size 4 were drawn from a production process. For each sample, the mean and range were computed as shown below.
 Sample 12345678910111213xˉj2124201820212325152025214Rj8127196118871391325 Sample 141516171819202122232425xˉj.281422242619142817262915Rj1214178211214117152119\begin{array}{l}\begin{array} { | c | c c c c c c c c c c c c c | } \hline \text { Sample } & 1 & 2 & 3 & 4 & 5 & 6 & 7 & 8 & 9 & 10 & 11 & 12 & 13 \\\hline \bar { x } _ { j } & 21 & 24 & 20 & 18 & 20 & 21 & 23 & 25 & 15 & 20 & 25 & 21 & 4 \\R _ { j } & 8 & 12 & 7 & 19 & 6 & 11 & 8 & 8 & 7 & 13 & 9 & 13 & 25 \\\hline\end{array}\\\\\begin{array} { | c | c c c c c c c c c c c c | } \hline \text { Sample } & 14 & 15 & 16 & 17 & 18 & 19 & 20 & 21 & 22 & 23 & 24 & 25 \\\hline \bar { x } _ { j . } & 28 & 14 & 22 & 24 & 26 & 19 & 14 & 28 & 17 & 26 & 29 & 15 \\R _ { j } & 12 & 14 & 17 & 8 & 21 & 12 & 14 & 11 & 7 & 15 & 21 & 19 \\\hline\end{array}\end{array}
-Compute the centerline and control limits for the R chart.
Centerline = ____________________
Lower value = ____________________
Upper value = ____________________

Understand the concept of ethical expectations and behavior within an organization.
Recognize conflicts of interest and how they impact business ethics.
Identify the stages of moral and ethical development in the workplace.
Understand the role of integrity and loyalty in adhering to ethical principles in business situations.

Definitions:

U.S. Productivity

The measurement of how efficiently goods and services are produced in the United States, often measured as output per hour of labor.

GDP

Gross Domestic Product, a measure of the economic performance of a country, representing the total value of all goods and services produced over a specific time period.

Transportation

The movement of people, animals, goods, and materials from one location to another through various means, such as vehicles, trains, ships, and airplanes.

Developed Countries

Nations with advanced economic systems, higher standards of living, and stable governments.

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