A Statistics Course Coordinator Is Trying to Improve the Teaching

question 118

Essay

A statistics course coordinator is trying to improve the teaching quality of her course.
Last semester, her class list was randomly divided into three separate groups, A, B and
C.
Group A are offered two, one hour lectures per week and one, one-hour tutorial per week, where the maximum number in a tutorial class is 10, and their continuous assessment is individual based.
Group B are offered two one hour lectures per week and one two hour tutorial per week where the average tutorial class size is 42 and the continuous assessment is team based, where students are randomly allocated to a team of 7 students each in their tutorial class.
Group C have one four hour lecture including combined tutorial per week and their continuous assessment is individual based, where this class size is 50 students.
A random sample of students from each of group A, B and C was selected with their final marks given in the following table: $$\begin{array} { | c | c | c | } \hline \text { Group A } & \text { Group B } & \text { Group C } \\\hline 75 & 50 & 50 \\\hline 68 & 63 & 65 \\\hline 99 & 45 & 81 \\\hline 72 & 55 & 58 \\\hline 52 & 75 & 75 \\\hline\end{array}$$
a. Is there significant evidence at the 10% level of significance for the course coordinator to infer that there exists a difference in the population mean final mark of the three different teaching methods?
b. What assumption about the distribution of final grades was needed in order to carry out the F-test of the analysis of variance?

Develop skills in summarizing and synthesizing information for better comprehension and recall.

Implement effective review strategies to combat the forgetting curve and improve memory retention.

Adapt listening and note-taking approaches to improve performance in challenging subjects or courses.

Employ collaboration and communication skills within study groups to fill in knowledge gaps and reinforce learning.

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Definitions:

Capital Intensity Ratio

A metric that measures the amount of capital needed per unit of output, indicating how capital-intensive a business operation is.

Operating Capacity

The maximum output that an organization can produce with its current resources and constraints.

Dividend Payout Ratio

A financial metric that shows what portion of a company's earnings are distributed to shareholders in the form of dividends.

External Financing

Describes the funds a business acquires from sources outside the company, such as bank loans, venture capital, or issuing bonds and stocks to support operations or expansion.