An Assistant Professor Designs His Fall Semester Class So That

question 31

Essay

An assistant professor designs his fall semester class so that a major homework assignment is due the day his students waltz into class to take their first exam. The results are mixed so he rewrites his exam for the spring semester and repeats the process, again collecting a major homework assignment on exam day and grading and returning both the homework assignments and exams the following class meeting. Use an appropriate tool from the tools for continuous improvement to analyze the data. What conclusions do you draw?
$$\begin{array} { | c | c | c | } \hline \text { Homework grade } & \text { Exam Grade Spring } & \text { Exam Grade Fall } \\\hline 2 & 18 & 51 \\\hline 5 & 20 & 34 \\\hline 13 & 20 & 36 \\\hline 14 & 23 & 69 \\\hline 16 & 23 & 46 \\\hline 16 & 24 & 60 \\\hline 19 & 29 & 20 \\\hline 20 & 29 & 66 \\\hline 22 & 29 & 44 \\\hline 28 & 30 & 53 \\\hline 29 & 31 & 42 \\\hline 30 & 32 & 40 \\\hline 31 & 35 & 55 \\\hline 33 & 42 & 65 \\\hline 36 & 45 & 54 \\\hline 38 & 48 & 59 \\\hline 57 & 48 & 26 \\\hline 59 & 50 & 49 \\\hline 67 & 54 & 32 \\\hline 67 & 62 & 43 \\\hline 72 & 62 & 60 \\\hline 82 & 66 & 34 \\\hline 98 & 67 & 55 \\\hline\end{array}$$

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Definitions:

Two-Way Analysis

A statistical test used to examine the influence of two different independent variables on one dependent variable.

Factorial ANOVA

An analysis of variance that is used when an experiment or study has two or more independent variables.

Factorial Analysis

A statistical approach that explains the variance among observed, correlated variables by a smaller set of unobservable variables known as factors.

Well-Being

A comprehensive term for the condition of an individual or group, encompassing physical, psychological, and social aspects.