Ten Samples of N = 5 Were Collected to Construct $\overline { x ^ { * } }$

question 70

Multiple Choice

Ten samples of n = 5 were collected to construct an $\overline { x ^ { * } }$ chart. The sample mean and range for each sample are shown in the table below. $$\begin{array} { | c c c | c c c | } \hline \text { Sample } & \text { Mean } & \text { Range } & \text { Sample } & \text { Mean } & \text { Range } \\\hline 1 & 215 & 15 & 6 & 224 & 21 \\2 & 204 & 20 & 7 & 205 & 27 \\3 & 160 & 10 & 8 & 184 & 12 \\4 & 226 & 19 & 9 & 207 & 16 \\5 & 232 & 24 & 10 & 212 & 17 \\\hline\end{array}$$ Calculate empirical lower and upper control limits for the R chart. (You will need a table of control chart factors.) $$\begin{array} { c l l c } \hline \text { Subgroup Size } & d _ { 2 } & D _ { 3 } & D _ { 4 } \\\hline 2 & 1.128 & 0 & 3.267 \\3 & 1.693 & 0 & 2.574 \\4 & 2.059 & 0 & 2.282 \\5 & 2.326 & 0 & 2.114 \\6 & 2.534 & 0 & 2.004 \\7 & 2.704 & 0.076 & 1.924 \\8 & 2.847 & 0.136 & 1.864 \\9 & 2.970 & 0.184 & 1.816 \\\hline\end{array}$$

• A)0, 45.86
• B)0, 42.49
• C)0, 38.26
• D)4.48, 35.58

---

Definitions:

Arbitration

A method of dispute resolution involving a neutral third party who makes a binding decision.

Neutral

Having no strongly positive or negative qualities, characteristics, or feelings; characterized by impartiality or absence of bias.

Communication

The process of sharing information, ideas, thoughts, and messages with others through spoken words, writing, or other mediums.

Negotiating Parties

The individuals or groups involved in discussions to reach a mutual agreement or resolve differences, often regarding contracts, terms of sale, or disputes.