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A Statistics Course Coordinator Is Trying to Improve the Teaching

question 46

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:  Group A  Group B  Group C 755050686365994581725558527575\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?

Apply the concept of financial leverage to understand its impact on earnings and cost of equity.
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Definitions:

Debt Offerings

A way for companies to raise capital by issuing debt securities or bonds to investors, who in return receive interest payments.

Ultimate Return

The total return received from an investment, including all sources of income and capital gains, over the entire holding period.

Technical Analysis

The study of historical market data, including price and volume, to predict future market behavior primarily for trading decisions.

Macroeconomic Data

Information relating to the overarching conditions of an economy, including metrics such as GDP, unemployment rates, and inflation.

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