The following table gives the recorded grades for 10 students on a midterm test and the final examination in a calculus course:(a) Calculate the rank correlation coefficient.(b) Test the null hypothesis that p = 0 against the alternative that p > 0. Use a =0.025.

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Midterm Final Student Test Examination L.S.A. 84 73 W.P.B. R.W.K. 98 91 72 86 93 80 63 87 66 78 78 J.R.L. J.K.L. D.L.P. B.L.P. D.W.M. M.N.M. R.H.S. 91 92 88 87 77