Answered: In a study on the settlement of piles…

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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In a study on the settlement of piles used in building foundations, data on the observed pile settlement were collected and compared with the calculated/estimated values. The ratio of the observed to the calculated settlements is a measure of the accuracy of the calculation method. The ratios are shown in the table below and as can be observed, it shows considerable variability:
Ratios of Observed Settlement to Calculated Settlement of Piles

0.12	0.97	0.86	1.14	0.94
2.37	0.88	0.92	1.01	0.99
1.02	1.04	0.99	0.87	0.52
0.94	1.06	1.38	1.04	1.18
1	0.86	0.82	0.84	1.09

Test the data using the Anderson darling test for normal distribution at 5% level. Discuss your findings.

Features Features Normal distribution is characterized by two parameters, mean (µ) and standard deviation (σ). When graphed, the mean represents the center of the bell curve and the graph is perfectly symmetric about the center. The mean, median, and mode are all equal for a normal distribution. The standard deviation measures the data's spread from the center. The higher the standard deviation, the more the data is spread out and the flatter the bell curve looks. Variance is another commonly used measure of the spread of the distribution and is equal to the square of the standard deviation.

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