Four Samples of 100 Each Were Taken from an Assembly

question 32

Multiple Choice

Four samples of 100 each were taken from an assembly line, with the following results: Using the historical average as the central line of the chart, which one of the following is the limits for an attributes control chart with z = 2?

$$\begin{array} { | l | l | } \hline \text { Sample } & \text { Number } \\\text { Number } & \text { Defective } \\\hline 1 & 6 \\2 & 12 \\\hline 3 & 2 \\\hline\end{array}$$

• A) UCL < 0.1 and LCL < 0.03
• B) UCL < 0.1 and LCL > 0.03
• C) UCL > 0.1 and LCL < 0.03
• D) UCL > 0.1 and LCL > 0.03

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Definitions:

Median

The middle value of a data set when it is ordered from smallest to largest, or the average of the two middle values when the dataset has an even number of observations.

Outliers

Observations in a dataset that fall far outside the range of values of other observations, potentially skewing the results or analysis.

Central Tendency

A statistical measure that identifies a single value as representative of a data set, commonly the mean, median, or mode.

Statistic

A single measure, reported as a number, used to summarize a sample of data.