The table gives information on 12 new home addition and renovation projects, in competition for inclusion in a television program featuring innovative styles. The producers of the program intend to make a selection based on one or more of the following criteria: city section (among a total of four), size in square feet of the project, cost of the project in dollars, and rating of innovativeness.

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The following statements pertain to various possible selection criteria. Select Yes if the statement must be true on the basis of the given information; otherwise select No.


YES NO
If the 5 with the highest ratings are selected, then one builder and one city section will not be featured in the program.
Selecting the top 2 and bottom 2 by price leaves out exactly half of the city sections and half of the builders.
Selecting the top 3 and bottom 3 by square footage leaves out exactly one of the builders entirely.
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