A Machine Is Supposed to Fill Cans That Contain 12

question 19

Essay

A machine is supposed to fill cans that contain 12 oz. Each hour, a sample of four cans is tested; the results of 15 consecutive hours are given below. $\begin{array}{l|llll|l|l}S&&&A&&M&R\\\hline1 & 11.2 & 11.7 & 11.8 & 11 .7 & 11.6 & 0.6 \\2 & 11.8 & 11.3 & 11.6 & 11 .6 & 61.575 & 0.5 \\3 & 11.3 & 12.0 & 11.8 & 11.7 & 11.7 & 0.7 \\4 & 12.1 & 11.6 & 12.1 & 12 . 0& 11.95 & 0.5 \\5 & 11.8 & 11.8 & 11.9 & 11.9&11 .85 & 0.1\\6 & 12.0 & 11.9 & 11.8 & 11 .7& 11.85&0 .3 \\7 & 11.6 & 12.0 & 11.9 & 11.8 & 11.825&0 .4 \\8 & 11.5 & 12.1 & 11.9 & 12 .0& 11.875&0 .6 \\9 & 12.1 & 12.1 & 11.7 & 11.9&11 .95&0 .4\\10 & 11.7 & 12.0 & 11.6 & 11.9 & 11.8 & 0.4 \\11 & 12.1 & 12.4 & 11.9 & 12.2&12 .15 & 0.5 \\12 & 12.5 & 12.0 & 12.4 & 12.3 & 12.3 & 0.5\\13 & 12.5 & 12.0 & 12.1 & 12 .1& 12.175& 0.5 \\14 & 12.4 & 12.0 & 12.0 & 12.4 & 12.2 & 0.4 \\15 & 12.4 & 12.4 & 12.6 & 12 & 12.375 & 0.5\\\end{array}$

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Definitions:

Market Price

The price charged for an item on the open market.

Fixed Costs

Expenses that do not change with the level of production or business activity, such as rent, salaries, and insurance.

Gross Margin Percentage

A profitability ratio that shows the percentage of sales revenue remaining after deducting the cost of goods sold, indicating the financial health and performance of a company's core activities.

Sales Volume

The quantity of products or services sold by a company within a specific period, often used as an indicator of business activity.