(a) What type of experimental design is this? Randomized block design Completely randomized design Matched-pairs design Case-control study (b) What is the response variable in this study? The golfers golfers The distance distance The types of club club The coin flip (c) What is the factor that is set to predetermined levels? What is the treatment? A. The factor is the type of club club. The treatments are graphite dash shafted graphite-shafted and steel dash shafted steel-shafted. B. The factor is the coin flip. The treatments are heads and tails. C. The factor is the golfers golfers. The treatments are the 10 different golfers golfers. D. The factor is the distance distance. The treatments are graphite dash shafted graphite-shafted and steel dash shafted steel-shafted.
A
golf pro
golf pro wanted to compare two types of
golf clubs
golf clubs. One type is
graphite dash shafted
graphite-shafted and the other is
steel dash shafted
steel-shafted. It is a common belief that
graphite shafts give more distance
graphite shafts give more distance. This belief is tested by
having 10 golfers hit one ball with each type of club and then
having 10 golfers hit one ball with each type of club and then
determining the distance that the ball traveled.
determining the distance that the ball traveled. A coin flip was used to determine which type of
club each player would hit with first
club each player would hit with first. Results indicated that there was no difference in the two types of
club
club. Complete parts (a) through (f) below.
(a) What type of experimental design is this?
Randomized block design
Completely randomized design
Matched-pairs design
Case-control study
(b) What is the response variable in this study?
The
golfers
golfers
The
distance
distance
The types of
club
club
The coin flip
(c) What is the factor that is set to predetermined levels? What is the treatment?
A.
The factor is the type of
club
club. The treatments are
graphite dash shafted
graphite-shafted and
steel dash shafted
steel-shafted.
B.
The factor is the coin flip. The treatments are heads and tails.
C.
The factor is the
golfers
golfers. The treatments are the 10 different
golfers
golfers.
D.
The factor is the
distance
distance. The treatments are
graphite dash shafted
graphite-shafted and
steel dash shafted
steel-shafted.
(d) Identify the experimental units. Choose the correct answer below.
The
golfers
golfers
The
distance
distance
The types of
club
club
The coin flip
(e) Why is a coin used to decide the
club each player would hit with first
club each player would hit with first?
A.
To introduce an element of chance into the experiment
B.
To show that the experiment is fair
C.
To eliminate bias as to which
club
club was used first
D.
None of the above
(f) Draw a diagram to illustrate the design. Choose the correct diagram below.
A.
Figure 1
A diagram has a circle on the left that reads "Random assignments to treatments". Two arrows branch from this circle. The top arrow leads to a circle labeled "Group 1". The bottom arrow leads to a circle labeled "Group 2". The circle labeled "Group 1" has an arrow leading to a circle labeled "graphite". The circle labeled "Group 2" has an arrow leading to a circle labeled "steel ". The circles labeled "graphite" and "steel " have arrows leading to a circle labeled "Compare distances ".
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Random
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treatments
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Group 1
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Group 2
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Compare
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distances
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graphite
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steel
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B.
Figure 2
A diagram has a box on the left that reads "Randomly assign each golfer to both treatments.". An arrow from this box leads to a box that reads "Administer treatments and record distances. ". An arrow from this box leads to a box that reads "For each golfer, compare the distances. ".
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treatments.
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Randomly
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Administer
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distances.
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each
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to both
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assign
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treatments
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and record
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golfer,
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compare
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distances.
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the
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For each
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golfer
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