Estimateurs Différence A B A-B Projet 1 57.2 59.9 -2.7 Projet 2 53.6 55.7 -2.1 Projet 3 83.4 83.4 0 Projet 4 103.2 103.3 -0.1 Projet 5 66.2 69.3 -3.1 Projet 6 27.3 28.4 Projet 7 45.2 46.1 Somme: Moyenne: Écart-type:
A major company in the Montreal area, offering a range of engineering services from project preparation to construction execution, and industrial project management, wants to ensure that the individuals who are responsible for project cost estimation and bid preparation demonstrate a certain uniformity in their estimates. The head of civil engineering and municipal services decided to structure an experimental plan to detect if there could be significant differences in project evaluation.
Seven projects were selected, each of which had to be evaluated by each of the two estimators, with the order of the projects submitted being random. The obtained estimates are presented in the table below.
a) Complete the table above by calculating: i. The differences (A-B) ii. The sum of the differences iii. The mean of the differences iv. The standard deviation of the differences
b) What is the value of the t-statistic?
c) What is the critical t-value for this test at a significance level of 1%?
d) Is there a significant difference in the estimated value of the projects between the estimators at a significance level of 1%? (YES/NO). Explain.
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