A Group of 12 Students Have to Decide Among Three $\quad$

question 13

Multiple Choice

A group of 12 students have to decide among three types of pizza: sausage (S) , mushroom (M) , and beef (B) . Their preference rankings are shown below. Is there a Condorcet winner among the pizza types? $\quad$$\quad$$\quad$$\quad$$\quad$$\quad$$\quad$$\quad$$\text { Number of students }$
$\begin{array} { l l l l l l } & 3 & 3 & 2 & 2 & 2 \\\text { First choice } & \mathrm { B } & \mathrm { M } & \mathrm { S } & \mathrm { B } & \mathrm { S } \\\text { Second choice } & \mathrm { M } & \mathrm { B } & \mathrm { M } & \mathrm { S } & \mathrm { B } \\\text { Third choice } & \mathrm { S } & \mathrm { S } & \mathrm { B } & \mathrm { M } & \mathrm { M }\end{array}$

• A) S
• B) M
• C) B
• D) No winner can be chosen.

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Definitions:

Inferential Statistics

Statistical methods used to draw conclusions or make predictions about a population based on a sample.

Statistically Meaningful

Refers to results in data analysis that are unlikely to have occurred by chance and therefore indicate a significant effect or relationship.

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The organized and systematic pursuit of knowledge involving the observation, identification, description, experimental investigation, and theoretical explanation of phenomena.

Ideal Scientist

A conceptual model of a scientist who embodies the virtues of curiosity, skepticism, objectivity, and the ethical pursuit of knowledge.