Alumni Clubs
Three Alumni Clubs for a University Have Members

question 27

Short Answer

Alumni clubs
Three alumni clubs for a university have members who contribute to the university athletic program.The amount of contribution (in dollars)for six contributors randomly selected from each city to test the hypothesis that the mean contribution is the same among alumni clubs is given below,followed by the total for each city: $$\begin{array} { | l | l | l | } \hline { \text { Banks } } & { \text { Business Services } } & { \text { Construction } } \\\hline n _ { 1 } = 7 & n _ { 2 } = 7 & n _ { 3 } = 7 \\\bar { x } _ { 1 } = 41 & \bar { x } _ { 2 } = 30 & \bar { x } _ { 3 } = 24 \\\sum _ { i = 1 } ^ { n _ { 1 } } \left( x _ { 1 } - \bar { x } _ { 1 } \right) ^ { 2 } = 882 & \sum _ { i = 1 } ^ { n _ { 2 } } \left( x _ { i 2 } - \bar { x } _ { 2 } \right) ^ { 2 } = 1266 & \sum _ { i = 1 } ^ { n _ { 1 } } \left( x _ { i 3 } - \bar { x } _ { 3 } \right) ^ { 2 } = 582 \\\hline\end{array}$$
-What is the number of the error degrees of freedom?

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Definitions:

Metatarsals

The five long bones in the foot that connect the ankle bones to those of the toes, playing a key role in mobility and weight distribution.

Tibia

The larger and stronger of the two bones in the lower leg, commonly referred to as the shin bone.

Talus

A bone in the ankle that sits between the heel bone and the two bones of the lower leg, allowing for ankle movement.

Palatine Bones

Bones that form part of the hard palate of the mouth as well as parts of the nasal cavity and eye orbits.