The Following Data Were Generated from a Randomised Blocked Experiment

question 3

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:

Jim Crow

Laws and practices enforcing racial segregation and discrimination against African Americans, particularly in the southern United States, from the late 19th century to the mid-20th century.

Minstrel Shows

A form of entertainment in the 19th and early 20th centuries in America that stereotypically depicted African Americans through blackface performances.

Forty Acres and a Mule

A promise made during the Civil War to freed slaves, representing a plan for reparations by granting them land to ensure their independence and viability after emancipation, which was largely unfulfilled.

William Sherman

A Union general during the American Civil War famed for his March to the Sea, significantly impacting the southern Confederate states.