Use the Given Process Data to Construct a Control Chart

question 4

Essay

Use the given process data to construct a control chart for p
-A machine is supposed to fill boxes to a weight of 50 lbs. Every 30 minutes a sample of four boxes is tested; the results are given below. $\begin{array}{l|llll|l|l}S&&&A&&M&R\\\hline1 & 49 & 38 & 39 & 45 & 42.75 & 11 \\2 & 52 & 51 & 43 & 6 & 51.75 & 18 \\3 & 56 & 60 & 32 & 52 & 50 & 28\\4 & 44 & 59 & 46 & 49 & 49.5 & 15 \\5 & 51 & 61 & 48 & 45 & 51.25 & 16 \\6 & 45 & 50 & 46 & 48& 47.25 & 5 \\7 & 52 & 51 & 45 & 55& 50.75 & 10\\8 & 40 & 50 & 53 & 48 & 47.75 & 13 \\9 & 48 & 67 & 60 & 51 & 56.5 & 19 \\10 & 43 & 50 & 50 & 47 & 47.5 & 7 \\11 & 48 & 30 & 38 & 39 & 38.75 & 18\\12 & 50 & 46 & 48 & 53 & 49.25 & 7 \\13 & 50 & 58 & 56 & 64 & 57 & 14 \\14 & 47 & 52 & 47 & 49&48.75 & 5 \\15 & 52 & 57 & 58 & 52&54.75 & 6\\\end{array}$

---

Definitions:

Cost Of Goods Sold

The direct costs attributable to the production of goods sold by a company, including materials and labor.

Beginning Inventory

The value of goods available for sale at the start of an accounting period, carried over from the end of the previous period.

Ending Inventory

The total value of a company's merchandise, raw materials, and finished and unfinished products which have not yet been sold at the end of an accounting period.

Purchases

The act of buying goods and services, typically for the purpose of resale in the ordinary course of business.