Solve the problem based on the one-factor ANOVA analysis of variance methodology. Based on the information derived from the previous point, respond to the company's Director of Transport. Help yourself with the following questions: • Is there any difference in the times used to transport the cargo from the plant in CDMX to the AICM through the three recommended routes? • Are the standard deviations of each of the chosen pathways the same or different? If they are different, explain what this difference implies in statistical terms. • What type of statistical analysis will you use to answer the question? Justify your answer. • Which test statistic should you use? Why?

Algebra: Structure And Method, Book 1
(REV)00th Edition
ISBN:9780395977224
Author:Richard G. Brown, Mary P. Dolciani, Robert H. Sorgenfrey, William L. Cole
Publisher:Richard G. Brown, Mary P. Dolciani, Robert H. Sorgenfrey, William L. Cole
Chapter2: Working With Real Numbers
Section2.3: Rules For Addition
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Solve the problem based on the one-factor ANOVA analysis of variance methodology.
Based on the information derived from the previous point, respond to the company's Director of Transport. Help yourself with the following questions:

• Is there any difference in the times used to transport the cargo from the plant in CDMX to the AICM through the three recommended routes?

• Are the standard deviations of each of the chosen pathways the same or different? If they are different, explain what this difference implies in statistical terms.

• What type of statistical analysis will you use to answer the question? Justify your answer.

• Which test statistic should you use? Why?

Alerce Austral must send an order for various items produced at the plant in Mexico
City, CDMX, to its store located in Guadalajara. The manager of the plant in CDMX
decides to ship by plane, so the transport director suggests possible ways to move the
cargo from the plant to the Mexico City International Airport (AICM): the Miguel Alemán
Viaduct, La Piedad River and Churubusco River. The Director of Transportation, in
turn, wants to analyze the time it would take to transport the cargo from the plant to the
AICM by each of the suggested routes, and then compare the results. The collection of
sample data that was reported in minutes is recorded in the table
Freight transport times from the plant to the AICM
Río Churubusco
(minutes)
Viaducto Miguel Alemán
(minutes)
Río la Piedad
(minutes)
1
52
59
56
2
67
60
71
3
56
61
60
4
45
51
49
5
70
56
74
6
54
63
58
7
64
57
68
8
60
65
64
Significance level 0.025.
Transcribed Image Text:Alerce Austral must send an order for various items produced at the plant in Mexico City, CDMX, to its store located in Guadalajara. The manager of the plant in CDMX decides to ship by plane, so the transport director suggests possible ways to move the cargo from the plant to the Mexico City International Airport (AICM): the Miguel Alemán Viaduct, La Piedad River and Churubusco River. The Director of Transportation, in turn, wants to analyze the time it would take to transport the cargo from the plant to the AICM by each of the suggested routes, and then compare the results. The collection of sample data that was reported in minutes is recorded in the table Freight transport times from the plant to the AICM Río Churubusco (minutes) Viaducto Miguel Alemán (minutes) Río la Piedad (minutes) 1 52 59 56 2 67 60 71 3 56 61 60 4 45 51 49 5 70 56 74 6 54 63 58 7 64 57 68 8 60 65 64 Significance level 0.025.
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