Home Work 7.2-2 Test Actual Capacity Predicted Capacity P N=A/P As indicated in the table, five piles have been tested until failure; the load measured denotes the actual capacity of the given pile. Observe that the capacity of each pile predicted by a theoretical model as indicated in the table. The factor N is simply the ratio of the actual pile capacity to the predicted pile capacity; i.e., N = A/P. (a) Determine the 95% confidence interval of the mean value of N. No. A 20.5 13.6 1.51 at failure 18.5 20.4 0.91 3 10.0 8.8 1.14 15.3 14.3 1.07 26.2 22.8 1.15 HW s-I f of N sof N has also been 1.154 0.22 Ans. (0.881, 1.427). (b) In order to estimate the mean value of N to + 0.02 with 90% confidence, Assume that the variance of N, a?, is known and equal to 0.045 for this part. (Ans. 300). how many additional piles should be tested?
Home Work 7.2-2 Test Actual Capacity Predicted Capacity P N=A/P As indicated in the table, five piles have been tested until failure; the load measured denotes the actual capacity of the given pile. Observe that the capacity of each pile predicted by a theoretical model as indicated in the table. The factor N is simply the ratio of the actual pile capacity to the predicted pile capacity; i.e., N = A/P. (a) Determine the 95% confidence interval of the mean value of N. No. A 20.5 13.6 1.51 at failure 18.5 20.4 0.91 3 10.0 8.8 1.14 15.3 14.3 1.07 26.2 22.8 1.15 HW s-I f of N sof N has also been 1.154 0.22 Ans. (0.881, 1.427). (b) In order to estimate the mean value of N to + 0.02 with 90% confidence, Assume that the variance of N, a?, is known and equal to 0.045 for this part. (Ans. 300). how many additional piles should be tested?
Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter3: Functions And Graphs
Section3.6: Quadratic Functions
Problem 38E
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Transcribed Image Text:Hw-8-1
Home Work 7.2-2
Test
Actual Capacity Predicted Capacity P
N=A/P
As indicated in the table,
five piles have been tested
until failure; the load
No.
A
20.5
13.6
1.51
measured
at
failure
18.5
20.4
0.91
denotes the actual capacity
of the given pile. Observe
that the capacity of each
pile
predicted by a theoretical
model as indicated in the
table. The factor N is simply the ratio of the actual pile capacity to the predicted
pile capacity; i.e., N = A/P.
(a) Determine the 95% confidence interval of the mean value of N.
10.0
8.8
1.14
4
15.3
14.3
1.07
26.2
22.8
1.15
also
HW 8-I
has
been
1of N
sof N
1.154
0.22
Ans. (0.881, 1.427).
(b) In order to estimate the mean value ofN to + 0.02 with 90%
confidence, how many additional piles should be tested?
Assume that the variance of N, a², is known and equal to 0.045
for this part. (Ans. 300).
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