Construct the Appropriate Two-Sigma Control Chart for the Sample Observations

question 134

Essay

Construct the appropriate two-sigma control chart for the sample observations listed below. $$\begin{array} { l l l l l l l l l l r r } \text { Observation } & 1 & 2 & 3 & 4 & 5 & 6 & 7 & 8 & 9 & 10 & 11 \\\hline \text { Num. defects per unit } & 9 & 4 & 3 & 5 & 6 & 3 & 4 & 2 & 3 & 2 & 3\end{array}$$

---

Definitions:

Within-subject Design

A research design where the same participants are subjected to each condition of an experiment, allowing comparison of their performance across conditions.

Experimental Condition

In research, this is the set of conditions applied to subjects that is manipulated by the researcher to observe its effects compared to a control condition.

Random Assignment

A method of assigning research participants to different groups using randomization, ensuring that each participant has an equal chance of being placed in any group.

Probability

The measure of the likelihood that an event will occur, expressed as a number between 0 and 1.