Q1. An industrial engineer suggested three different algorithms to solve a specific problem. The performance of the algorithms are compared in terms of computation times. A numerical experiment...

a)Compute the required sums of squares and mean squares.
b)Construct the analysis of variance table and fill in the entries.
c)Test the hypothesis that the average performance of algorithms are equal against the alternative hypothesis that at least one performs different than the other two. Use α=0.05. Write your conclusion explicitly.

Extracted text: Q1. An industrial engineer suggested three different algorithms to solve a specific problem. The performance of the algorithms are compared in terms of computation times. A numerical experiment including 3 random data instances is conducted and the results (in minutes) are as given below. Algorithm 1 Algorithm 2 Algorithm 3 3.1 5.4 1.1 4.3 3.6 0.2 1.2 4 3 Show steps of your calculations!