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:

Compounded Monthly

This refers to the calculation of interest on the initial principal and the accumulated interest over previous periods on a monthly basis.

Investor

An entity or individual who commits funds hoping to achieve monetary rewards.

Compounded Semi-Annually

Describes the method of determining interest by applying it to both the original amount of money invested or loaned and any interest that has already been added to that amount, occurring two times annually.

Compounded Quarterly

Interest on an investment or loan is calculated four times a year, with each calculation including the interest from previous periods.