The Following Data Were Generated from a Randomised Blocked Experiment

question 118

Essay

The following data were generated from a randomised blocked experiment. Conduct a Friedman test at the 5% significance level to determine if at least two population locations differ. $\begin{array} { | c | c | c | c | c | c | c | } \hline & && { \text { Treatment } } \\\hline \text { Block } & \text { A } & \text { Rank } & \text { B } & \text { C } & \text { Rank } & \text { D } \\\hline 1 & 70 & & 80 & 50 & & 65 \\\hline 2 & 50 & & 87 & 52 & & 81 \\\hline 3 & 69 & & 97 & 75 & & 83 \\\hline 4 & 65 & & 72 & 62 & & 73 \\\hline 5 & 58 & & 87 & 52 & & 62 \\\hline\end{array}$

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Definitions:

Nuclear Weapons

Explosive devices designed to release energy in an explosive manner as a result of nuclear fission, fusion, or a combination of both, used by military forces.

Foreign Policy Powers

The authority granted primarily to the executive branch of a government to guide international relations, negotiate treaties, and conduct diplomacy.

Nuclear Arms Race

The competition for supremacy in nuclear warfare between countries, notably between the United States and the Soviet Union during the Cold War, characterized by the rapid development and testing of nuclear weapons.

Soviet Union

A socialist state that existed from 1922 to 1991, officially known as the Union of Soviet Socialist Republics (USSR), comprising multiple subnational Soviet republics.