Answer the following question.

Q.5. [Marks: 3+3] b) Interpolate the value of y at log(0.45) by the given set of values using Lagrange's interpolation formula correct upto 2 decimal places. Log(x) Log(28) Log(30) Log(33) Log(34) Log (37) y 1.4471 1.4771 1.5185 1.5314 1.5682 b) Two selection boards interview a group of 10 individuals separately for the post of intelligence officers, and assigned the following grade point out of a total of 50 points. Selection 30 35 40 38 35 41 42 45 42 38 board 1 Selection 25 35 39 36 35 39 41 43 40 36 board 2 Calculate the Spearman's Rank correlation coefficient. Is it true that the two selection boards have nearly the same judgment capabilities