(a) Do the data suggest that the two methods provide the same mean value for natural vibration frequency? Find interval for P-value: i < P-value < i Conclusion: For a significance level of a = 0.05, we would the null hypothesis. There evidence to conclude that the two methods provide different mean values for natural vibration frequency. (b) Find a 95% confidence interval on the mean difference between the two methods and use it to answer the question in part (a). Round your answer to 3 decimal places. ≤MD= i Conclusion: Does the confidence interval indicate that the two methods provide different mean values for natural vibration frequency? i ✓sufficient

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
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Chapter10: Statistics
Section10.3: Measures Of Spread
Problem 1GP
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Question
(a) Do the data suggest that the two methods provide the same mean value for natural vibration frequency? Find interval for P-value:
i
< P-value < i
Conclusion: For a significance level of a = 0.05, we would
the null hypothesis. There
evidence to conclude that the two methods provide different mean values for natural vibration frequency.
(b) Find a 95% confidence interval on the mean difference between the two methods and use it to answer the question in part (a).
Round your answer to 3 decimal places.
i
<MD < i
✓ sufficient
Conclusion: Does the confidence interval indicate that the two methods provide different mean values for natural vibration
frequency?
Transcribed Image Text:(a) Do the data suggest that the two methods provide the same mean value for natural vibration frequency? Find interval for P-value: i < P-value < i Conclusion: For a significance level of a = 0.05, we would the null hypothesis. There evidence to conclude that the two methods provide different mean values for natural vibration frequency. (b) Find a 95% confidence interval on the mean difference between the two methods and use it to answer the question in part (a). Round your answer to 3 decimal places. i <MD < i ✓ sufficient Conclusion: Does the confidence interval indicate that the two methods provide different mean values for natural vibration frequency?
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 structure are calculated using both
methods, and results for the first seven natural frequencies follow:
Frequency Finite Element, Cycle/s Equivalent Plate, Cycle/s
14.58
14.76
1
2
3
4
5
6
7
48.52
97.22
113.99
174.73
212.72
277.38
49.10
99.98
117.53
181.22
220.14
294.80
Transcribed Image Text: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 structure are calculated using both methods, and results for the first seven natural frequencies follow: Frequency Finite Element, Cycle/s Equivalent Plate, Cycle/s 14.58 14.76 1 2 3 4 5 6 7 48.52 97.22 113.99 174.73 212.72 277.38 49.10 99.98 117.53 181.22 220.14 294.80
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