n an effort to reduce the number of injuries on playgrounds, a city council considers a new design of monkey bars for public parks. One hundred children volunteer to take part in a study comparing the new design to the old design. They are randomly assigned to a set of monkey bars to play on. As it turns out, of the 50 assigned to the new design, 48 of the children are boys, while 35 of the children assigned to the old equipment are girls. (a) Is this a completely randomized design? O Yes, because all children were randomly assigned to one of the two treatments. O Yes, because accidents are random occurrences. O No, because the groups on each set of bars need to be either all boys or all girls. O No, because boys and girls were not assigned evenly to each set of monkey bars.
n an effort to reduce the number of injuries on playgrounds, a city council considers a new design of monkey bars for public parks. One hundred children volunteer to take part in a study comparing the new design to the old design. They are randomly assigned to a set of monkey bars to play on. As it turns out, of the 50 assigned to the new design, 48 of the children are boys, while 35 of the children assigned to the old equipment are girls. (a) Is this a completely randomized design? O Yes, because all children were randomly assigned to one of the two treatments. O Yes, because accidents are random occurrences. O No, because the groups on each set of bars need to be either all boys or all girls. O No, because boys and girls were not assigned evenly to each set of monkey bars.
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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Explain correctly.
Transcribed Image Text:In an effort to reduce the number of injuries on playgrounds, a city council considers a new design of monkey bars for public parks. One hundred children volunteer to take part in a study comparing the new design to the old design. They are randomly assigned to a set
of monkey bars to play on. As it turns out, of the 50 assigned to the new design, 48 of the children are boys, while 35 of the children assigned to the old equipment are girls.
(a) Is this a completely randomized design?
O Yes, because all children were randomly assigned to one of the two treatments.
O Yes, because accidents are random occurrences.
O No, because the groups on each set of bars need to be either all boys or all girls.
O No, because boys and girls were not assigned evenly to each set of monkey bars.
(b) In this scenarlo, is gender a confounding varlable?
Yes. Gender is a confounding varlable because we may not be able to tell if the difference in injury rate is because of the equipment or the gender of the children playing on the monkey bars.
O Yes. Because there was no time limit placed on the amount of play, more injuries might occur on one set of monkey bars because the children are there longer.
O No. The researcher should flip a coin to decide which boys will play on the new monkey bars and which on the old. The same should be done to decide which girls will play on which monkey
bars.
O No. Each boy should be allowed to choose which monkey bars he wants to play on. The same should be done with each girl.
(c) Determine whether the following statement is true or false.
This experimental design can be implemented as a double-blind experiment.
O True
O False
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