10-54. An article in the Journal of Aircraft (1986, Vol. 23, pp. 859–864) described a new equivalent plate analysis method formulation that is capable of modeling aircraft structures such as cranked wing boxes and that produces results similar to the more computationally intensive finite element analysis method. Natural vibration frequencies for the cranked wing box struc- ture are calculated using both methods, and results for the first seven natural frequencies follow: Finite Equivalent Plate, Element Freq. Cycle/s Cycle/s 14.58 14.76 2 48.52 49.10 3 97.22 99.99 4 113.99 117.53 5 174.73 181.22 6 212.72 220.14 7 277.38 294.80 (a) Do the data suggest that the two methods provide the same mean value for natural vibration frequency? Use a = 0.05. Find the P-value. (b) Find a 95% confidence interval on the mean difference between the two methods.

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Perform the following exercise in minitab. (in pictures)

10-54. O An article in the Journal of Aircraft (1986, Vol. 23,
pp. 859–864) described a new equivalent plate analysis method
formulation that is capable of modeling aircraft structures such
as cranked wing boxes and that produces results similar to the
more computationally intensive finite element analysis method.
Natural vibration frequencies for the cranked wing box struc-
ture are calculated using both methods, and results for the first
seven natural frequencies follow:
Finite
Equivalent
Plate,
Cycle/s
Element
Freq.
Cycle/s
1
14.58
14.76
48.52
49.10
3
97.22
99.99
4
113.99
117.53
5
174.73
181.22
212.72
220.14
7
277.38
294.80
(a) Do the data suggest that the two methods provide the same
mean value for natural vibration frequency? Use a = 0.05.
Find the P-value.
(b) Find a 95% confidence interval on the mean difference
between the two methods.
Transcribed Image Text:10-54. O An article in the Journal of Aircraft (1986, Vol. 23, pp. 859–864) described a new equivalent plate analysis method formulation that is capable of modeling aircraft structures such as cranked wing boxes and that produces results similar to the more computationally intensive finite element analysis method. Natural vibration frequencies for the cranked wing box struc- ture are calculated using both methods, and results for the first seven natural frequencies follow: Finite Equivalent Plate, Cycle/s Element Freq. Cycle/s 1 14.58 14.76 48.52 49.10 3 97.22 99.99 4 113.99 117.53 5 174.73 181.22 212.72 220.14 7 277.38 294.80 (a) Do the data suggest that the two methods provide the same mean value for natural vibration frequency? Use a = 0.05. Find the P-value. (b) Find a 95% confidence interval on the mean difference between the two methods.
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