Four Samples of Three Observations Each Have Been Taken, with Actual

question 99

Essay

Four samples of three observations each have been taken, with actual measurements (in centimeters) shown below. Construct three-sigma mean and range charts. $\begin{array}{ccrc}\text { Sample }\\\begin{array}{ccrc}\hline 1 & 2 & 3 & 4 \\12.3 & 11.9 & 12.0 & 12.1 \\12.2 & 12.2 & 12.2 & 11.8 \\12.1 & 12.2 & 11.8 & 11.8\end{array}\end{array}$

$\begin{array}{ccccc}\text { Sample } & 1 & 2 & 3 & 4 \\\text { Mean } & 12.2 & 12.1 & 12.0 & 11.9 \\\text { Range } & .2 & .3 & 4 & .3\end{array}$

$\text { Grand mean }=12.05 ; \text { R-bar }=0.3$

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Definitions:

Tantrum Behavior

A form of emotional outburst, often observed in children, characterized by yelling, crying, or physically lashing out.

Time Out

A form of behavioral modification that involves temporarily removing an individual from an environment where inappropriate behavior has occurred, to decrease that behavior.

Conventional Punishment

Traditional forms of punishment used to decrease or eliminate undesirable behaviors.

Effective Punishment

A punishment that reduces the likelihood of the behavior it follows occurring again, by being immediate, consistent, and proportionate.