The critical chi-square value for 20 degrees of freedom for the figure below is 31.410. 
Definitions:
Carpet Installation
The process of laying the carpet and securing it on the floor of a building or room.
Space Reduction
The process of decreasing physical space requirements through better utilization or downsizing.
Cubic Feet
A unit of volume used in the United States for measuring the space inside a container, equivalent to the volume of a cube with sides of one foot.
Concrete Patio
A durable, outdoor floor surface made from a mixture of cement, aggregate, sand, and water, which is poured and shaped for leisure or decorative purposes.
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