In a Completely Randomised Design, 12 Experimental Units Were Assigned

question 72

Essay

In a completely randomised design, 12 experimental units were assigned to the first treatment, 15 units to the second treatment, and 18 units to the third treatment. A partial ANOVA table is shown below: $$\begin{array} { | l | c | c | c | c | } \hline \text { Source of Variation } & \text { SS } & d f & M S & F \\\hline \text { Treatments } & * & * & * & 9 \\\hline \text { Error } & * & * & 35 & \\\hline \text { Total } & * & * & & \\\hline\end{array}$$ Test at the 5% significance level to determine if differences exist among the three treatment means.

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Definitions:

Defective Items

Refers to products or components that do not meet the quality standards or specifications set by the manufacturer or industry.

Simple Random Sample

An element of a statistical population where each member has an equal chance of being included.

Sample Proportion

The fraction of items in a sample that have a particular attribute, used as an estimate of the proportion in the full population.

Population Proportion

The ratio of members in a population who have a certain attribute to the total number of members in the population.