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:

Overestimating

The action of assessing something or someone as greater, larger, or more important than it is in reality.

Over-optimism

The tendency to be too confident or hopeful about future events or outcomes, often leading to underestimating risks.

Prospects

Potential customers or clients who have shown interest in a company's product or service.

Abilities

The inherent physical or mental capacities individuals possess, which can vary widely and impact performance in various tasks or occupations.