) What is the advantage of using a block design for this study? O Blocking by gender will reduce the variation in the response variable by creating homogeneous groups and determining the effect of the new shooting style on the respons (percentage of made shots) separately for each block (gender). O Blocking will provide more precise results by using one group as a control group (overhead shooting), another group as the treatment group (underhand shooting). O Blocking allows for more subjects to take part in the experiment. O Blocking by gender will increase the variation in the response variable by introducing a new variable into the experimental design: gender.

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Chapter10: Statistics
Section10.6: Summarizing Categorical Data
Problem 10CYU
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A basketball coach is interested in determining if shooting free throws underhand is better than shooting them using the overhead method. He has four high school teams (two boys' teams and
two girls' teams, with 13 players on each team) available to take part in an experiment. He believes that the difference in shooting percentages will vary more for boys than for girls. He randomly
chooses and instructs half of the boys to continue shooting free throws overhead and the rest of the boys to shoot underhand. He does the same for the girls. At the end of a six-game summer
league, he compares the shooting percentages for the overhead shooting boys to the underhand shooting boys and the overhead shooting girls to the underhand shooting girls.
(a) What is the advantage of using a block design for this study?
O Blocking by gender will reduce the variation in the response variable by creating homogeneous groups and determining the effect of the new shooting style on the response
(percentage of made shots) separately for each block (gender).
Blocking will provide more precise results by using one group as a control group (overhead shooting), another group as the treatment group (underhand shooting).
O Blocking allows for more subjects to take part in the experiment.
Blocking by gender will increase the variation in the response variable by introducing a new variable into the experimental design: gender.
(b) Which method is an example of how randomization could be implemented within this study?
O The researcher should flip a coin to decide which boys' team will shoot underhand. The same should be done to decide which girls' team shoots underhand. The other team will shoot
overhead.
O Each of the boys should be allowed to choose which style they want to use for the games. The same should be done with the girls.
O The best free-throw shooters should
assigned to the underhand method and the worst shooters should be assigned to the overhead style.
The researcher should give all of the boys a coin to flip. Those boys that flip heads are instructed to shoot underhand and those who flipped tails are assigned to the overhead style.
The same procedure is used with the girls.
(c) Determine whether the following statement
true or false.
This experimental design can be implemented as a double-blind experiment.
True
False
Transcribed Image Text:A basketball coach is interested in determining if shooting free throws underhand is better than shooting them using the overhead method. He has four high school teams (two boys' teams and two girls' teams, with 13 players on each team) available to take part in an experiment. He believes that the difference in shooting percentages will vary more for boys than for girls. He randomly chooses and instructs half of the boys to continue shooting free throws overhead and the rest of the boys to shoot underhand. He does the same for the girls. At the end of a six-game summer league, he compares the shooting percentages for the overhead shooting boys to the underhand shooting boys and the overhead shooting girls to the underhand shooting girls. (a) What is the advantage of using a block design for this study? O Blocking by gender will reduce the variation in the response variable by creating homogeneous groups and determining the effect of the new shooting style on the response (percentage of made shots) separately for each block (gender). Blocking will provide more precise results by using one group as a control group (overhead shooting), another group as the treatment group (underhand shooting). O Blocking allows for more subjects to take part in the experiment. Blocking by gender will increase the variation in the response variable by introducing a new variable into the experimental design: gender. (b) Which method is an example of how randomization could be implemented within this study? O The researcher should flip a coin to decide which boys' team will shoot underhand. The same should be done to decide which girls' team shoots underhand. The other team will shoot overhead. O Each of the boys should be allowed to choose which style they want to use for the games. The same should be done with the girls. O The best free-throw shooters should assigned to the underhand method and the worst shooters should be assigned to the overhead style. The researcher should give all of the boys a coin to flip. Those boys that flip heads are instructed to shoot underhand and those who flipped tails are assigned to the overhead style. The same procedure is used with the girls. (c) Determine whether the following statement true or false. This experimental design can be implemented as a double-blind experiment. True False
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