Question 2 A leading Montreal based company, offering a range of engineering services from construction project preparation and execution to industrial project management, wanted to ensure that those involved in estimating project costs and preparing bids were as uniform as possible in their estimates. The civil engineering and municipal services manager decided to conduct an experimental plan to determine if there was a way to ensure uniformity of cost estimates. Six projects were selected, each project to be evaluated by each of the two reviewers, the order of the submitted projects being random. The estimates obtained are presented in the table below. Estimators Difference A B A-B Project 1 59.4 60 -0.6 Project 2 55.8 55.8 0 Project 3 85.6 83.5 2.1 Project 4 105.4 103.4 2 Project 5 68.4 69.4 Project 6 29.5 28.5 Sum Mean Standard deviation a) Complete the table above by calculating: i. The differences (A-B) ii. The sum of the differences iii. The average of the differences iv. The standard deviation of differences b) What is the value of the statistic t? c) What is the critical t-value for this test? d) Is there a significant difference in the estimated value of projects between estimators at the 1% significance level? (YES/NO). Explain.