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Problem 1 Paper Helicopter Experiment A researcher would like to investigate how long a paper "helicopter" can stay in the air, where the helicopter is dropped from a height of 2 meters. Here's how she make the paper helicopters (see the figure below for an example) to be used for the experiment. Leg Width: 5 em Cut on dotted Rotor line Length Rotor A Rotor B Body Length: Fold on Body broken lines 2 ст Leg Length Leg B Cut on dotted Leg A Leg C line Leg Width Source: https://blog.minitab.com/en/learning-design-of-experiments-with-paper- helicopters-and-minitab • Step 1: Cut the paper to a width of 5cm. Step 2: Cut the paper the length of paper rotor length plus leg length, and add 2 cm for the body. • Step 3: Cut dotted lines at Leg A and Leg C. The length of each cut is 5 cm minus leg width divided by 2. • Step 4: Fold legs A and B onto leg B. • Step 5: Fold rotor A and rotor B in opposite directions. They should form 90° to the body and be 180° away from each other. Some potential treatment factors are: 1) Paper type (light, medium, and heavy); 2) Rotor length (7.5cm or 8.5cm); 3) Leg length (7.5cm or 12 cm); 4) Leg width (3.2cm or 5cm). Answer the following questions: (a) Suppose the researcher would like to compare the response between different paper types while keeping other factors fixed, what are the experimental units and measurement units in this study? Which design she can apply? (b) Suppose the researcher would like to conduct an experiment in (a) using 15 paper helicopters, explain how she can perform the randomization and replica- tion procedures here.

Problem 1 Paper Helicopter Experiment A researcher would like to investigate how long a paper "helicopter" can stay in the air, where the helicopter is dropped from a height of 2 meters. Here's how she make the paper helicopters (see the figure below for an example) to be used for the experiment. Leg Width: 5 em Cut on dotted Rotor line Length Rotor A Rotor B Body Length: Fold on Body broken lines 2 ст Leg Length Leg B Cut on dotted Leg A Leg C line Leg Width Source: https://blog.minitab.com/en/learning-design-of-experiments-with-paper- helicopters-and-minitab • Step 1: Cut the paper to a width of 5cm. Step 2: Cut the paper the length of paper rotor length plus leg length, and add 2 cm for the body. • Step 3: Cut dotted lines at Leg A and Leg C. The length of each cut is 5 cm minus leg width divided by 2. • Step 4: Fold legs A and B onto leg B. • Step 5: Fold rotor A and rotor B in opposite directions. They should form 90° to the body and be 180° away from each other. Some potential treatment factors are: 1) Paper type (light, medium, and heavy); 2) Rotor length (7.5cm or 8.5cm); 3) Leg length (7.5cm or 12 cm); 4) Leg width (3.2cm or 5cm). Answer the following questions: (a) Suppose the researcher would like to compare the response between different paper types while keeping other factors fixed, what are the experimental units and measurement units in this study? Which design she can apply? (b) Suppose the researcher would like to conduct an experiment in (a) using 15 paper helicopters, explain how she can perform the randomization and replica- tion procedures here.

MATLAB: An Introduction with Applications
MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
Section: Chapter Questions
Problem 1P
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Problem 1 Paper Helicopter Experiment A researcher would like to investigate how long a paper "helicopter" can stay in the air, where the helicopter is dropped from a height of 2 meters. Here's how she make the paper helicopters (see the figure below for an example) to be used for the experiment. Leg Width: 5 em Cut on dotted Rotor line Length Rotor A Rotor B Body Length: Fold on Body broken lines 2 ст Leg Length Leg B Cut on dotted Leg A Leg C line Leg Width Source: https://blog.minitab.com/en/learning-design-of-experiments-with-paper- helicopters-and-minitab • Step 1: Cut the paper to a width of 5cm. Step 2: Cut the paper the length of paper rotor length plus leg length, and add 2 cm for the body. • Step 3: Cut dotted lines at Leg A and Leg C. The length of each cut is 5 cm minus leg width divided by 2. • Step 4: Fold legs A and B onto leg B. • Step 5: Fold rotor A and rotor B in opposite directions. They should form 90° to the body and be 180° away from each other. Some potential treatment factors are: 1) Paper type (light, medium, and heavy); 2) Rotor length (7.5cm or 8.5cm); 3) Leg length (7.5cm or 12 cm); 4) Leg width (3.2cm or 5cm). Answer the following questions: (a) Suppose the researcher would like to compare the response between different paper types while keeping other factors fixed, what are the experimental units and measurement units in this study? Which design she can apply? (b) Suppose the researcher would like to conduct an experiment in (a) using 15 paper helicopters, explain how she can perform the randomization and replica- tion procedures here.
Transcribed Image Text:Problem 1 Paper Helicopter Experiment A researcher would like to investigate how long a paper "helicopter" can stay in the air, where the helicopter is dropped from a height of 2 meters. Here's how she make the paper helicopters (see the figure below for an example) to be used for the experiment. Leg Width: 5 em Cut on dotted Rotor line Length Rotor A Rotor B Body Length: Fold on Body broken lines 2 ст Leg Length Leg B Cut on dotted Leg A Leg C line Leg Width Source: https://blog.minitab.com/en/learning-design-of-experiments-with-paper- helicopters-and-minitab • Step 1: Cut the paper to a width of 5cm. Step 2: Cut the paper the length of paper rotor length plus leg length, and add 2 cm for the body. • Step 3: Cut dotted lines at Leg A and Leg C. The length of each cut is 5 cm minus leg width divided by 2. • Step 4: Fold legs A and B onto leg B. • Step 5: Fold rotor A and rotor B in opposite directions. They should form 90° to the body and be 180° away from each other. Some potential treatment factors are: 1) Paper type (light, medium, and heavy); 2) Rotor length (7.5cm or 8.5cm); 3) Leg length (7.5cm or 12 cm); 4) Leg width (3.2cm or 5cm). Answer the following questions: (a) Suppose the researcher would like to compare the response between different paper types while keeping other factors fixed, what are the experimental units and measurement units in this study? Which design she can apply? (b) Suppose the researcher would like to conduct an experiment in (a) using 15 paper helicopters, explain how she can perform the randomization and replica- tion procedures here.
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