A paint manufacturer conducted an experiment to investigate whether a new formula produces paint that lasts longer on the exterior of a building than paint produced using an older formula. A grid of 20 squares was drawn on one side of an exterior wall of a building. The new formula was randomly assigned to 10 squares, and the older formula was assigned to the remaining 10 squares. Each square was painted with the assigned formula. One year later, each square was rated on how well the paint had lasted, using a numerical scale for which larger values indicated longer-lasting paint. Which of the following best describes the design of the experiment? (A) A completely randomized design, because the two formulas were compared. (B) A completely randomized design, because each formula was randomly assigned to 10 squares. (C) A matched pairs design, because the same number of squares were assigned to each formula. (D) A matched pairs design, because two formulas were compared. (E) A randomized block design, because the wall was partitioned into 20 squares.

Algebra: Structure And Method, Book 1
(REV)00th Edition
ISBN:9780395977224
Author:Richard G. Brown, Mary P. Dolciani, Robert H. Sorgenfrey, William L. Cole
Publisher:Richard G. Brown, Mary P. Dolciani, Robert H. Sorgenfrey, William L. Cole
Chapter2: Working With Real Numbers
Section2.4: Subtracting Real Numbers
Problem 6P
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A paint manufacturer conducted an experiment to investigate whether a new formula produces paint that lasts
longer on the exterior of a building than paint produced using an older formula. A grid of 20 squares was drawn on
one side of an exterior wall of a building. The new formula was randomly assigned to 10 squares, and the older
formula was assigned to the remaining 10 squares. Each square was painted with the assigned formula. One year
later, each square was rated on how well the paint had lasted, using a numerical scale for which larger values
indicated longer-lasting paint.
Which of the following best describes the design of the experiment?
(A) A completely randomized design, because the two formulas were compared.
(B) A completely randomized design, because each formula was randomly assigned to 10 squares.
(C) A matched pairs design, because the same number of squares were assigned to each formula.
(D) A matched pairs design, because two formulas were compared.
(E) A randomized block design, because the wall was partitioned into 20 squares.
Transcribed Image Text:A paint manufacturer conducted an experiment to investigate whether a new formula produces paint that lasts longer on the exterior of a building than paint produced using an older formula. A grid of 20 squares was drawn on one side of an exterior wall of a building. The new formula was randomly assigned to 10 squares, and the older formula was assigned to the remaining 10 squares. Each square was painted with the assigned formula. One year later, each square was rated on how well the paint had lasted, using a numerical scale for which larger values indicated longer-lasting paint. Which of the following best describes the design of the experiment? (A) A completely randomized design, because the two formulas were compared. (B) A completely randomized design, because each formula was randomly assigned to 10 squares. (C) A matched pairs design, because the same number of squares were assigned to each formula. (D) A matched pairs design, because two formulas were compared. (E) A randomized block design, because the wall was partitioned into 20 squares.
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