Professor Murphy Wants to Set Up a Control Chart to Monitor

question 61

Essay

Professor Murphy wants to set up a control chart to monitor the percentage of absenteeism in his introductory statistics course (50 students are registered). Absences per period for the last 15 class sessions are in the table below. Find the empirical control limits for a p-chart to be used in the future for monitoring class attendance (assuming that past experience is the appropriate attainable centerline for class absences).
$$\begin{array} { | l | c | c | c | c | c | c | c | c | c | c | c | c | c | c | c | } \hline \text { Session } & 1 & 2 & 3 & 4 & 5 & 6 & 7 & 8 & 9 & 10 & 11 & 12 & 13 & 14 & 15 \\\hline \text { Absent } & 5 & 0 & 2 & 2 & 3 & 8 & 10 & 3 & 5 & 5 & 1 & 2 & 0 & 2 & 3 \\\hline\end{array}$$

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Definitions:

Plant Propagation

Plant propagation is the process of creating new plants from a variety of sources, such as seeds, cuttings, and other plant parts.

Stolons

Horizontal above-ground stems or runners that extend from the base of the plant, capable of producing new plants at nodes along their length.

Kalanchoe

A genus of succulent flowering plants that are known for their unique water retention capabilities and often used in decorative gardening.

Chlorophytum

A genus of perennial flowering plants, commonly known as spider plants, notable for their easy care and air-purifying qualities.