An Experiment Was Conducted Using a Randomized Block Design Fill in the Missing Entries for an ANOVA Table

question 41

Essay

An experiment was conducted using a randomized block design. The data from the experiment are displayed in the following table. $\begin{array}{l}\text { TREATMENT }\\\begin{array}{c|ccc}\text { BLOCK } & 1 & 2 & 3 \\\hline 1 & 16 & 21 & 14 \\2 & 15 & 24 & 14 \\3 & 18 & 20 & 15\end{array}\end{array}$

Fill in the missing entries for an ANOVA table.

$\begin{array}{l}\begin{array}{llll}\text { SOURCE } & \text { df } & \text { SS } & \text { MS } \\\hline \text { Treatments } & & 86.22 \\\text { Blocks } & & \\\text { Error } & & \\\hline\end{array}\\\begin{array}{lr}\hline \text { Total } & 100.22\end{array}\end{array}$

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Definitions:

Depth of Filling

The extent to which a cavity or mold is filled with material during a manufacturing or casting process.

Spur Gears

A type of gear with straight teeth mounted on a parallel shaft, used for transmitting motion and torque.

Pitch Diameter

The diameter of an imaginary circle on a gear or screw, where the width of the gear tooth and the space between teeth are equal.

Reciprocating Motion

A type of mechanical motion where an object moves back and forth along a straight path, common in pistons and pumps.