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Conduct Analysis of Variance on the Randomized Complete Block Design α=0.05\alpha = 0.05

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Conduct Analysis of Variance on the Randomized Complete Block Design
-A builder has two crews that construct homes. He is interested in determining if there is a difference in the time it takes the crews to build three different styles of homes. The time in days for each crew is given below. Is there any interaction effect? Answer Yes or No. Test at α=0.05\alpha = 0.05 .
 Cottage  Bi-Level 2 story  Smith 27,34,30,35,3925,47,44,30,3928,24,29,32,41 Jones 46,41,37,26,2431,39,44,45,3243,45,44,36,31\begin{array}{|l|c|c|c|}\hline & \text { Cottage } & \text { Bi-Level } & 2 \text { story } \\\hline \text { Smith } & 27,34,30,35,39 & 25,47,44,30,39 & 28,24,29,32,41 \\\hline \text { Jones } & 46,41,37,26,24 & 31,39,44,45,32 & 43,45,44,36,31 \\\hline\end{array}


Definitions:

Scatterplot

A type of graph in which the values of two variables are plotted along two axes, the pattern of the points revealing any correlations.

Log

The logarithm function, which is the inverse operation of exponentiation, used in many fields to transform data for analysis or to solve exponential equations.

Relative Cost

An assessment of cost in relation to another item's cost, providing a basis for comparison and decision-making.

Goods

Items that are manufactured or produced for sale, trade, or personal use.

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