Use the Given Process Data to Construct a Control Chart $$\begin{array} { l l l l l l l l l l l l } 4 & 7 & 5 & 6 & 8 & 3 & 12 & 4 & 4 & 5 & 6 & 2\end{array}$$

question 158

Essay

Use the given process data to construct a control chart for p. A manufacturer monitors the level_ of defects in the television sets that it produces. Each week, 200 television sets are randomly selected and tested and the number of defects is recorded. The results for 12 consecutive weeks are shown below. $$\begin{array} { l l l l l l l l l l l l } 4 & 7 & 5 & 6 & 8 & 3 & 12 & 4 & 4 & 5 & 6 & 2\end{array}$$

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Definitions:

T Statistic

A value used in statistical analysis that helps determine if there is a significant difference between the means of two groups.

One-tailed

A statistical test hypothesis that specifies the direction of the expected difference or relationship.

Two-tailed

A type of statistical test that considers both ends of the distribution for checking the significance of the test hypothesis.

Alternative Hypothesis

A hypothesis that contradicts the null hypothesis, proposing that there is a significant difference or relationship.