Q14. An engineer designs a new composite structure designed to suppress vibrations and needs to characterise its performance in terms of the amount of internal damping it has. From previous experience it is known that the damping coefficient is highly sensitive to slight variations in manufacturing. Numerical simulations of the initial design of the structure indicate that the damping coefficient should be 0.22 with a standard deviation of 0.06. Five copies of the design are then manufactured and their damping coefficients measured and tabulated below. Initial design Damping coefficient Copy 1 0.13 Copy 2 0.17 Copy 3 0.25 Copy 4 0.16 Copy 5 0.16 Use an appropriate hypothesis test to determine whether the numerical simulations are representative of the actual experimental results tabulated above. Use a significance level of 10%. In your workings, state any assumptions you are making about the data.
Q14. An engineer designs a new composite structure designed to suppress vibrations and needs to characterise its performance in terms of the amount of internal damping it has. From previous experience it is known that the damping coefficient is highly sensitive to slight variations in manufacturing. Numerical simulations of the initial design of the structure indicate that the damping coefficient should be 0.22 with a standard deviation of 0.06. Five copies of the design are then manufactured and their damping coefficients measured and tabulated below. Initial design Damping coefficient Copy 1 0.13 Copy 2 0.17 Copy 3 0.25 Copy 4 0.16 Copy 5 0.16 Use an appropriate hypothesis test to determine whether the numerical simulations are representative of the actual experimental results tabulated above. Use a significance level of 10%. In your workings, state any assumptions you are making about the data.
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![Q14. An engineer designs a new composite structure designed to suppress vibrations and
needs to characterise its performance in terms of the amount of internal damping it has.
From previous experience it is known that the damping coefficient is highly sensitive
to slight variations in manufacturing.
Numerical simulations of the initial design of the structure indicate that the damping
coefficient should be 0.22 with a standard deviation of 0.06. Five copies of the design
are then manufactured and their damping coefficients measured and tabulated below.
Initial design Damping coefficient
Copy 1
0.13
Copy 2
0.17
Copy 3
0.25
Copy 4
0.16
Copy 5
0.16
Use an appropriate hypothesis test to determine whether the numerical simulations are
representative of the actual experimental results tabulated above. Use a significance
level of 10%.
In your workings, state any assumptions you are making about the data.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fe781e991-850f-4092-9b36-3deffb65313c%2F1f43537b-ab2a-4a90-8d3e-f640d01e0d30%2F57d70ay_processed.png&w=3840&q=75)
Transcribed Image Text:Q14. An engineer designs a new composite structure designed to suppress vibrations and
needs to characterise its performance in terms of the amount of internal damping it has.
From previous experience it is known that the damping coefficient is highly sensitive
to slight variations in manufacturing.
Numerical simulations of the initial design of the structure indicate that the damping
coefficient should be 0.22 with a standard deviation of 0.06. Five copies of the design
are then manufactured and their damping coefficients measured and tabulated below.
Initial design Damping coefficient
Copy 1
0.13
Copy 2
0.17
Copy 3
0.25
Copy 4
0.16
Copy 5
0.16
Use an appropriate hypothesis test to determine whether the numerical simulations are
representative of the actual experimental results tabulated above. Use a significance
level of 10%.
In your workings, state any assumptions you are making about the data.
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