SEMI 4853
QUALITY ENGINEERING
SECTION
ANALYSIS REPORT
Experimental Design and Statistical Analysis of
Landing Time of Bottle Parachute
2x3 Full Factorial Design B21EM0020
B20EM0046
A20EM0355
A20EM0341
A20EM0339
FACULTY OF ENGINEERING
UNIVERSITI TEKNOLOGI MALAYSIA
DECEMBER 2023
,1.0 Experimental Design
The experimental design revolves around a comprehensive investigation into the factors
influencing the performance of parachute bottles which is landing time from a fixed height in
this case. The study incorporates two controllable factors: parachute surface area and material
type. The experimental trials involve random assignments of factor combinations, with a
randomized order to mitigate potential order effects. Data collection are held on fixed
environmental conditions such as altitudes and atmospheric factors.
To assess the role of the factors chosen, parachute surface area and material type, the
experiment will be replicated three times, ensuring robust and reliable results. The statistical
analysis will employ ANOVA to evaluate the significance of each factor and their interactions
on parachute performance. The significance level for hypothesis testing is set at 0.05, The
expected results aim to provide insights into the optimal combinations of parachute surface
area and material type, contributing to the improvement of parachute systems in various
applications.
Plastic
Material Type
Parchment Paper
Factors
46𝑐𝑚2
Surface Area
53𝑐𝑚2
Response Landing time from 8 meters drop
Table 1: Factors and Response of the Experiment
Weight of the bottle
Dimension of the Bottle Parachute
Fixed Parameters
Material of the Bottle
Drop Height (8 meters)
Table 2: Fixed Parameters of the Bottle Parachute
1
, There is no significant difference in the mean
H0 𝜏1 = 𝜏2 = 0
landing time between different material type
1
There is a significant difference in the mean
H1 At least one 𝜏𝑖 ≠ 0
landing time between different material type
There is no significant difference in the mean
H0 𝛽1 = 𝛽2 = 0
landing time between different surface area
2
There is a significant difference in the mean
H1 At least one 𝛽𝑗 ≠ 0
landing time between different surface area
There is no significant difference in the mean
landing time between plastic and paper
H0 𝜏𝛽11 = 𝜏𝛽12 = ⋯ = 𝜏𝛽𝑎𝑏 = 0
parachute designs, regardless of the parachute’s
area.
3
There is a significant difference in the mean
landing time between plastic and paper
H1 At least one 𝜏𝛽𝑖𝑗 ≠ 0
parachute designs, considering the parachute’s
area.
Table 3: Hypothesis of the Experiment
2.0 Bottle Parachute System
The design of a bottle parachute involves attaching a square plastic sheet, serving as
the parachute, to the open end of a 500ml plastic water bottle using tape. Suspension lines made
of lightweight thread are connected to the corners of the parachute and gathered to form a single
attachment point, securing it to the top of the bottle. Additionally, reinforcement with tape may
be added for stability. The parachute system is designed to slow down the descent of the bottle,
and its performance can be tested by dropping it from a low height. Adjustments to the design
can be made based on observations, allowing for experimentation and optimization of the
parachute's characteristics for better stability and performance during descent.
2
QUALITY ENGINEERING
SECTION
ANALYSIS REPORT
Experimental Design and Statistical Analysis of
Landing Time of Bottle Parachute
2x3 Full Factorial Design B21EM0020
B20EM0046
A20EM0355
A20EM0341
A20EM0339
FACULTY OF ENGINEERING
UNIVERSITI TEKNOLOGI MALAYSIA
DECEMBER 2023
,1.0 Experimental Design
The experimental design revolves around a comprehensive investigation into the factors
influencing the performance of parachute bottles which is landing time from a fixed height in
this case. The study incorporates two controllable factors: parachute surface area and material
type. The experimental trials involve random assignments of factor combinations, with a
randomized order to mitigate potential order effects. Data collection are held on fixed
environmental conditions such as altitudes and atmospheric factors.
To assess the role of the factors chosen, parachute surface area and material type, the
experiment will be replicated three times, ensuring robust and reliable results. The statistical
analysis will employ ANOVA to evaluate the significance of each factor and their interactions
on parachute performance. The significance level for hypothesis testing is set at 0.05, The
expected results aim to provide insights into the optimal combinations of parachute surface
area and material type, contributing to the improvement of parachute systems in various
applications.
Plastic
Material Type
Parchment Paper
Factors
46𝑐𝑚2
Surface Area
53𝑐𝑚2
Response Landing time from 8 meters drop
Table 1: Factors and Response of the Experiment
Weight of the bottle
Dimension of the Bottle Parachute
Fixed Parameters
Material of the Bottle
Drop Height (8 meters)
Table 2: Fixed Parameters of the Bottle Parachute
1
, There is no significant difference in the mean
H0 𝜏1 = 𝜏2 = 0
landing time between different material type
1
There is a significant difference in the mean
H1 At least one 𝜏𝑖 ≠ 0
landing time between different material type
There is no significant difference in the mean
H0 𝛽1 = 𝛽2 = 0
landing time between different surface area
2
There is a significant difference in the mean
H1 At least one 𝛽𝑗 ≠ 0
landing time between different surface area
There is no significant difference in the mean
landing time between plastic and paper
H0 𝜏𝛽11 = 𝜏𝛽12 = ⋯ = 𝜏𝛽𝑎𝑏 = 0
parachute designs, regardless of the parachute’s
area.
3
There is a significant difference in the mean
landing time between plastic and paper
H1 At least one 𝜏𝛽𝑖𝑗 ≠ 0
parachute designs, considering the parachute’s
area.
Table 3: Hypothesis of the Experiment
2.0 Bottle Parachute System
The design of a bottle parachute involves attaching a square plastic sheet, serving as
the parachute, to the open end of a 500ml plastic water bottle using tape. Suspension lines made
of lightweight thread are connected to the corners of the parachute and gathered to form a single
attachment point, securing it to the top of the bottle. Additionally, reinforcement with tape may
be added for stability. The parachute system is designed to slow down the descent of the bottle,
and its performance can be tested by dropping it from a low height. Adjustments to the design
can be made based on observations, allowing for experimentation and optimization of the
parachute's characteristics for better stability and performance during descent.
2
