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.

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter4: Equations Of Linear Functions
Section4.5: Correlation And Causation
Problem 15PPS
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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. 

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