A Fitness Centre Employs 4 Different Fitness Instructors

question 120

Essay

A fitness centre employs 4 different fitness instructors. Management would like to investigate if the different fitness instructors are getting different results with their team members.
The number of kilograms lost per member over the last twelve months is recorded and divided by fitness instructor they were using.
A table of fitness instructors with kilograms lost by each individual member, is given below.
Can you advise management if the fitness instructors are consistent, (ie: test that at least two populations differ), at the 5% level of significance. $\begin{array} { | c | c | c | c | } \hline &{ \text { Fitness instructor } } \\\hline \mathrm { A } & \mathrm { B } & \mathrm { C } & \mathrm { D } \\\hline 13 & 15 & 18 & 9 \\\hline 9 & 10 & 15 & 10 \\\hline 16 & 15 & 17 & 6 \\\hline 12 & 14 & 18 & 6 \\\hline 15 & & 13 & \\\hline 8 & & & \\\hline\end{array}$

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Definitions:

Yield To Maturity

The total return expected on a bond if held to its maturity date, taking into account its current market price, interest payments, and face value.

Par Value

The face value of a bond or a stock, representing the amount that will be paid back at maturity for bonds or the nominal value of a stock.

Catastrophe Bond

A high-yield debt instrument designed to raise funds for companies in the insurance industry to cover the risk of natural disasters.

Seine River

A historic river that flows through the heart of Paris, France, and is known for its cultural and economic significance.