(a) Determine the 95% confidence interval of the mean value of N. Ans. (0.881, 1.427). In order to estimate the mean value of N to + 0.02 with 90% confidence, Assume that the variance of N, o2, is known and equal to 0.045 for this part. (Ans. 300). (b) how many additional piles should be tested?

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Home Work 7.2-2
As indicated in the table,
five piles have been tested
until failure;
Test
Actual Capacity
Predicted Capacity P
N =A/P
No.
A
the
load
1
20.5
13.6
1.51
measured
at
failure
2
18.5
20.4
0.91
denotes the actual capacity
of the given pile. Observe
that the capacity of each
has
10.0
8.8
1.14
4
15.3
14.3
1.07
5
26.2
22.8
1.15
HW 8-I
pile
also
been
x of N
s of N
1.154
predicted by a theoretical
model as indicated in the
0.22
table. The factor N is simply the ratio of the actual pile capacity to the predicted
pile capacity; i.e., N =
A/P.
(a)
Ans. (0.881, 1.427).
In order to estimate the mean value of N to + 0.02 with 90%
Determine the 95% confidence interval of the mean value of N.
(b)
confidence,
Assume that the variance of N, o2, is known and equal to 0.045
for this part. (Ans. 300).
how
many
additional
piles
should
be
tested?
Transcribed Image Text:Home Work 7.2-2 As indicated in the table, five piles have been tested until failure; Test Actual Capacity Predicted Capacity P N =A/P No. A the load 1 20.5 13.6 1.51 measured at failure 2 18.5 20.4 0.91 denotes the actual capacity of the given pile. Observe that the capacity of each has 10.0 8.8 1.14 4 15.3 14.3 1.07 5 26.2 22.8 1.15 HW 8-I pile also been x of N s of N 1.154 predicted by a theoretical model as indicated in the 0.22 table. The factor N is simply the ratio of the actual pile capacity to the predicted pile capacity; i.e., N = A/P. (a) Ans. (0.881, 1.427). In order to estimate the mean value of N to + 0.02 with 90% Determine the 95% confidence interval of the mean value of N. (b) confidence, Assume that the variance of N, o2, is known and equal to 0.045 for this part. (Ans. 300). how many additional piles should be tested?
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