$\text { Construct an } \bar{x} \text { chart. }$

question 148

Essay

$\text { Construct an } \bar{x} \text { chart. }$
$\text { Control Chart Constants }$
$\quad$$\quad$$\quad$$\quad$$\quad$$\bar{x}$ $\quad$$\quad$$\quad$$\quad$$\quad$$\quad$ $\boldsymbol{s}$ $\quad$$\quad$$\quad$$\quad$$\quad$$\quad$ $\boldsymbol{R}$
$\begin{array}{ccccccc}\hline n & A_{2} & A_{3} & B_{3} & B_{4} & D_{3} & D_{4} \\\hline 2 & 1.880 & 2.659 & 0.000 & 3.267 & 0.000 & 3.267 \\3 & 1.023 & 1.954 & 0.000 & 2.568 & 0.000 & 2.574 \\4 & 0.729 & 1.628 & 0.000 & 2.266 & 0.000 & 2.282 \\5 & 0.577 & 1.427 & 0.000 & 2.089 & 0.000 & 2.114 \\6 & 0.483 & 1.287 & 0.030 & 1.970 & 0.000 & 2.004 \\7 & 0.419 & 1.182 & 0.118 & 1.882 & 0.076 & 1.924 \\8 & 0.373 & 1.099 & 0.185 & 1.815 & 0.136 & 1.864 \\9 & 0.337 & 1.032 & 0.239 & 1.761 & 0.184 & 1.816 \\10 & 0.308 & 0.975 & 0.284 & 1.716 & 0.223 & 1.777 \\\hline\end{array}$

A machine is supposed to fill boxes to a weight of 50 pounds. Every 30 minutes a sample of four boxes is tested; the results are given below.
$\quad$ $\quad$ $\quad$ $\quad$ $\quad$$\text { Box Weight (lb) }$
$\begin{array}{l}\begin{array}{c|}\underline {\text { Sample } }\\ 1\\2\\3\\4\\5\\6\\7\\8\\9\\10\\11\\12\\13\\14\\15\\\end{array}\begin{array}{lrll|}\\\hline 49 & 38 & 39 & 45 \\52 & 51 & 43 & 61 \\56 & 60 & 32 & 52 \\44 & 59 & 46 & 49 \\51 & 61 & 48 & 45 \\45 & 50 & 46 & 48 \\52 & 51 & 45 & 55 \\40 & 50 & 53 & 48 \\48 & 67 & 60 & 51 \\43 & 50 & 50 & 47 \\48 & 30 & 38 & 39 \\50 & 46 & 48 & 53 \\50 & 58 & 56 & 64 \\47 & 52 & 47 & 49 \\52 & 57 & 58 & 52\end{array}\begin{array}{c|}\bar{x} \\\hline 42.75 \\51.75 \\50.00 \\49.50 \\51.25 \\47.25 \\50.75 \\47.75 \\56.50 \\47.50 \\38.75 \\49.25 \\57.00 \\48.75 \\54.75\end{array}\begin{array}{c}\text { Range } \\\hline 11 \\18 \\28 \\15 \\16 \\5 \\10 \\13 \\19 \\7 \\18 \\7 \\14 \\5 \\6\end{array}\end{array}$

---

Definitions:

Reg-Neg Rule Making

A regulatory process in the U.S. that involves negotiations between federal agencies and affected stakeholders to draft rules or regulations.

Interstate Commerce Commission

A former federal agency in the United States that regulated the railroad industry and other modes of transportation, abolished in 1995.

Anticompetitive

Anticompetitive refers to actions or policies designed to reduce competition in a market, potentially leading to monopolistic behaviors and harming consumer interests.

Legislative Power

The authority to make laws and alter or repeal them, usually vested in a parliament or legislative assembly.