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. $$\begin{array} { l l l l l l l l l l r r } \text { Observation } & 1 & 2 & 3 & 4 & 5 & 6 & 7 & 8 & 9 & 10 & 11 \\\hline \text { Num. defects per unit } & 9 & 4 & 3 & 5 & 6 & 3 & 4 & 2 & 3 & 2 & 3\end{array}$$

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Definitions:

Distribution

The way in which something is shared or exists over a particular area or among a particular group, or the arrangement of values showing their frequency.

Fair Dice

A fair dice refers to a die that has an equal probability of landing on any of its faces when thrown, indicating no bias in its design or roll outcome.

Test Statistic

A computed value used to decide whether to reject the null hypothesis within the framework of statistical hypothesis testing.

Rejection Region

The range of values for which a null hypothesis is rejected in hypothesis testing.