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:

Formal Orientation

An organized introduction and training program for new employees to familiarize them with the company policies, procedures, and culture.

Cost-effective Manner

An approach or method that achieves the desired outcome without unnecessary expenditure, ensuring the best possible use of resources.

Procedures

Set methods or steps followed to complete certain tasks or operations within an organization or process.

On-the-job Training

Hands-on training provided to employees while they perform their regular work tasks.