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.
$$\begin{array}{l}\begin{array} { | c | c c c c c c c c c c c c c | } \hline \text { Sample } & 1 & 2 & 3 & 4 & 5 & 6 & 7 & 8 & 9 & 10 & 11 & 12 & 13 \\\hline \bar { x } _ { j } & 21 & 24 & 20 & 18 & 20 & 21 & 23 & 25 & 15 & 20 & 25 & 21 & 4 \\R _ { j } & 8 & 12 & 7 & 19 & 6 & 11 & 8 & 8 & 7 & 13 & 9 & 13 & 25 \\\hline\end{array}\\\\\begin{array} { | c | c c c c c c c c c c c c | } \hline \text { Sample } & 14 & 15 & 16 & 17 & 18 & 19 & 20 & 21 & 22 & 23 & 24 & 25 \\\hline \bar { x } _ { j . } & 28 & 14 & 22 & 24 & 26 & 19 & 14 & 28 & 17 & 26 & 29 & 15 \\R _ { j } & 12 & 14 & 17 & 8 & 21 & 12 & 14 & 11 & 7 & 15 & 21 & 19 \\\hline\end{array}\end{array}$$
-Compute the centerline and control limits for the R chart.
Centerline = ____________________
Lower value = ____________________
Upper value = ____________________

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Definitions:

Average Gross Earnings

The average total amount of income earned by individuals or entities before any deductions or taxes are applied.

Base Salary

The initial rate of compensation given to an employee, excluding any bonuses or benefits.

Weighted-Average Inventory

A method of calculating the cost of inventory that takes into account the cost of goods sold and the remaining inventory.

Generally Accepted Accounting Principles

A set of rules and standards designed to improve the clarity, consistency, and comparability of financial reporting across different entities.