4. The port authority has denied the shipment of the cargo ship from China to Malaysia due to impropriate size. Standard size of the 20 foot container according to ISO 668:2013 is 6.058 m x 2.438 m x 2.591 m (Length x Width x Height). The port authority has no issues with the height of the container but is really concern on the length and width. A sample for 10 containers dimensions is available and is shown in Table 1. Container #1 1 2 3 4 5 6 7 8 9 10 Length 5.873 5.594 6.297 6.071 5.841 6.214 5.912 5.838 5.957 5.603 Table1 Width 2.054 2.764 2.473 2.474 2.452 2.823 2.875 2.818 2.851 2.928 Height 2.406 2.666 2.977 2.661 2.127 2.104 2.670 3.069 2.855 2.458 Based on the argument with the shipping container manufacturer, it was argued that the dimensions are within the freight specification +/- 0.3m at 68% confidence level. As an engineer, you have to evaluate whether the claim is true and justify your answer with the aid of a normal distribution plot. Hint: Calculate the average and standard deviation for the container for analysis purpose.
4. The port authority has denied the shipment of the cargo ship from China to Malaysia due to impropriate size. Standard size of the 20 foot container according to ISO 668:2013 is 6.058 m x 2.438 m x 2.591 m (Length x Width x Height). The port authority has no issues with the height of the container but is really concern on the length and width. A sample for 10 containers dimensions is available and is shown in Table 1. Container #1 1 2 3 4 5 6 7 8 9 10 Length 5.873 5.594 6.297 6.071 5.841 6.214 5.912 5.838 5.957 5.603 Table1 Width 2.054 2.764 2.473 2.474 2.452 2.823 2.875 2.818 2.851 2.928 Height 2.406 2.666 2.977 2.661 2.127 2.104 2.670 3.069 2.855 2.458 Based on the argument with the shipping container manufacturer, it was argued that the dimensions are within the freight specification +/- 0.3m at 68% confidence level. As an engineer, you have to evaluate whether the claim is true and justify your answer with the aid of a normal distribution plot. Hint: Calculate the average and standard deviation for the container for analysis purpose.
A First Course in Probability (10th Edition)
10th Edition
ISBN:9780134753119
Author:Sheldon Ross
Publisher:Sheldon Ross
Chapter1: Combinatorial Analysis
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Transcribed Image Text:4. The port authority has denied the shipment of the cargo ship from China to
Malaysia due to impropriate size. Standard size of the 20 foot container
according to ISO 668:2013 is 6.058 m x 2.438 m x 2.591 m (Length x Width x
Height).
The port authority has no issues with the height of the container but is really
concern on the length and width. A sample for 10 containers dimensions is
available and is shown in Table 1.
Container
#1
1
2
3
4
5
6
7
8
9
10
Length
5.873
5.594
6.297
6.071
5.841
6.214
5.912
5.838
5.957
5.603
Table1
Width
2.054
2.764
2.473
2.474
2.452
2.823
2.875
2.818
2.851
2.928
Height
2.406
2.666
2.977
2.661
2.127
2.104
2.670
3.069
2.855
2.458
Based on the argument with the shipping container manufacturer, it was argued
that the dimensions are within the freight specification +/- 0.3m at 68%
confidence level.
As an engineer, you have to evaluate whether the claim is true and justify your
answer with the aid of a normal distribution plot.
Hint:
Calculate the average and standard deviation for the container for analysis
purpose.
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