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The foundation of a building is designed to be supported by 100 piles with a capacity of 80 tons each. 9 pilesdriven into the ground layers supported at the Ras tgele points were loaded until migration occurred in each pile and the results given in the table below were obtained. Test Pile Pile Capacity (tons) 1 90 2 75 3 95 4 90 5 88 6 92 7 78 8 85 9 88 a) Calculate the average and standard deviation for the individual pile capacity to be used in construction. b) At a 5% significance level, based on the results of 9 test piles, are the manufactured piles acceptable? The zero hypothesis would indicate that the average pile capacity is 80 tons. c) Determine the 95% confidence interval for the average pile capacity. d) Repeat the calculations you made manually above withR. Provide the R code and its result separately as the answer to this option.

The foundation of a building is designed to be supported by 100 piles with a capacity of 80 tons each. 9 pilesdriven into the ground layers supported at the Ras tgele points were loaded until migration occurred in each pile and the results given in the table below were obtained. Test Pile Pile Capacity (tons) 1 90 2 75 3 95 4 90 5 88 6 92 7 78 8 85 9 88 a) Calculate the average and standard deviation for the individual pile capacity to be used in construction. b) At a 5% significance level, based on the results of 9 test piles, are the manufactured piles acceptable? The zero hypothesis would indicate that the average pile capacity is 80 tons. c) Determine the 95% confidence interval for the average pile capacity. d) Repeat the calculations you made manually above withR. Provide the R code and its result separately as the answer to this option.

MATLAB: An Introduction with Applications
MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
Section: Chapter Questions
Problem 1P
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The foundation of a building is designed to be supported by 100 piles with a capacity of 80 tons each. 9 pilesdriven into the ground layers supported at the Ras tgele points were loaded until migration occurred in each pile and the results given in the table below were obtained. Test Pile Pile Capacity (tons) 1 90 2 75 3 95 4 90 5 88 6 92 7 78 8 85 9 88 a) Calculate the average and standard deviation for the individual pile capacity to be used in construction. b) At a 5% significance level, based on the results of 9 test piles, are the manufactured piles acceptable? The zero hypothesis would indicate that the average pile capacity is 80 tons. Determine the 95% confidence interval for the average pile capacity. c) d) Repeat the calculations you made manually above withR. Provide the R code and its result separately as the answer to this option.
Transcribed Image Text:The foundation of a building is designed to be supported by 100 piles with a capacity of 80 tons each. 9 pilesdriven into the ground layers supported at the Ras tgele points were loaded until migration occurred in each pile and the results given in the table below were obtained. Test Pile Pile Capacity (tons) 1 90 2 75 3 95 4 90 5 88 6 92 7 78 8 85 9 88 a) Calculate the average and standard deviation for the individual pile capacity to be used in construction. b) At a 5% significance level, based on the results of 9 test piles, are the manufactured piles acceptable? The zero hypothesis would indicate that the average pile capacity is 80 tons. Determine the 95% confidence interval for the average pile capacity. c) d) Repeat the calculations you made manually above withR. Provide the R code and its result separately as the answer to this option.
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