Question 1 The foundation for a building is designed to rest on 100 piles based on the individual pile capacity of 80 tons. Nine test piles were driven at random locations into the supporting soil stratum and loaded until failure of each pile occurred. The results are as follows (in tons): 82 tons 92 tons 75 tons 78 tons 95 tons 85 tons 90 tons 80 tons 88 tons a. At the 5% significant level, should the piles be accepted based on the results of the nine test piles? That is, to perform a one-sided hypothesis test, with the null hypothesis that the mean capacity is 80 tons. Find the P- value. b. Explain how the question in part (a) could be answered by using a one-sided confidence interval (CI) on the true. mean of the pile capacity?

MATLAB: An Introduction with Applications
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ISBN:9781119256830
Author:Amos Gilat
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<
8:03
82 tons
92 tons
75 tons
Today
8:03 PM
Question 1
The foundation for a building is designed to rest on 100 piles based on the individual pile capacity of 80 tons. Nine test
piles were driven at random locations into the supporting soil stratum and loaded until failure of each pile occurred. The
results are as follows (in tons):
78 tons.
95 tons
85 tons
75
25
90 tons
80 tons
undation for a building is designed to rest on 100 ples based on the individual of each pile occurred
pile of 80 tone. Nine
wwe diven a random locations into the supporting so stratum and lo
ts are as follows (in
95
M
85
a. At the 5% significant level, should the piles be accepted based on the results of the nine test piles? That is, to
perform a one-sided hypothesis test, with the null hypothesis that the mean capacity is 80 tons. Find the P-
value.
b. Explain how the question in part (a) could be answered by using a one-sided confidence interval (CI) on the true.
mean of the pile capacity?
Explow the ion in part (0 could be awed by using a
Scart level should the
ples be accepted based on the rest of the nine test ples? That
is
a one-sided hypothesis test, with the mud hypothesis that the mean capacity is 80 tons. Find the P
4G 33
88 tons
Edit
i
OC
Transcribed Image Text:< 8:03 82 tons 92 tons 75 tons Today 8:03 PM Question 1 The foundation for a building is designed to rest on 100 piles based on the individual pile capacity of 80 tons. Nine test piles were driven at random locations into the supporting soil stratum and loaded until failure of each pile occurred. The results are as follows (in tons): 78 tons. 95 tons 85 tons 75 25 90 tons 80 tons undation for a building is designed to rest on 100 ples based on the individual of each pile occurred pile of 80 tone. Nine wwe diven a random locations into the supporting so stratum and lo ts are as follows (in 95 M 85 a. At the 5% significant level, should the piles be accepted based on the results of the nine test piles? That is, to perform a one-sided hypothesis test, with the null hypothesis that the mean capacity is 80 tons. Find the P- value. b. Explain how the question in part (a) could be answered by using a one-sided confidence interval (CI) on the true. mean of the pile capacity? Explow the ion in part (0 could be awed by using a Scart level should the ples be accepted based on the rest of the nine test ples? That is a one-sided hypothesis test, with the mud hypothesis that the mean capacity is 80 tons. Find the P 4G 33 88 tons Edit i OC
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