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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?

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?

Linear Algebra: A Modern Introduction
Linear Algebra: A Modern Introduction
4th Edition
ISBN:9781285463247
Author:David Poole
Publisher:David Poole
Chapter2: Systems Of Linear Equations
Section2.4: Applications
Problem 1EQ: 1. Suppose that, in Example 2.27, 400 units of food A, 600 units of B, and 600 units of C are placed...
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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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