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

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) }$
$\begin{array}{l}\begin{array}{c|}\underline {\text { Sample } }\\ 1\\2\\3\\4\\5\\6\\7\\8\\9\\10\\11\\12\\13\\14\\15\\\end{array}\begin{array}{lrll|}\\\hline 49 & 38 & 39 & 45 \\52 & 51 & 43 & 61 \\56 & 60 & 32 & 52 \\44 & 59 & 46 & 49 \\51 & 61 & 48 & 45 \\45 & 50 & 46 & 48 \\52 & 51 & 45 & 55 \\40 & 50 & 53 & 48 \\48 & 67 & 60 & 51 \\43 & 50 & 50 & 47 \\48 & 30 & 38 & 39 \\50 & 46 & 48 & 53 \\50 & 58 & 56 & 64 \\47 & 52 & 47 & 49 \\52 & 57 & 58 & 52\end{array}\begin{array}{c|}\bar{x} \\\hline 42.75 \\51.75 \\50.00 \\49.50 \\51.25 \\47.25 \\50.75 \\47.75 \\56.50 \\47.50 \\38.75 \\49.25 \\57.00 \\48.75 \\54.75\end{array}\begin{array}{c}\text { Range } \\\hline 11 \\18 \\28 \\15 \\16 \\5 \\10 \\13 \\19 \\7 \\18 \\7 \\14 \\5 \\6\end{array}\end{array}$

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Definitions:

Straight Line Demand

An economic model where the demand for a product changes at a constant rate relative to price changes, depicted as a straight line on a graph.

Important Factors

Critical elements or variables that significantly influence an outcome or determine the success of a particular process or activity in economics.

Price Affect Demand

The relationship between the price of a good or service and the willingness of consumers to buy it, where typically, a higher price leads to lower demand and a lower price leads to higher demand.

Renal Papillae

The apexes of the renal pyramids, which project into the minor calyces of the kidney and through which urine flows into the ureters.