Table 2 shows the marks scored by ten students, selected at random, in two short quizzes; one in Statistics and one in Science. The maximum score in each case is 30. Student Score on Statistics Quiz Score on Science Quiz a. 1 2 3 4 6 7 Table 2: Student Scores in Statistics and Science 9 10 20 23 8 29 14 12 11 20 17 18 20 25 11 24 23 16 12 21 22 26 i. Compute the Pearson's product moment correlation coefficient be- tween the two sets of quiz scores and comment on its value. (6 marks) ii. Using the above information, test the hypothesis that there is no correlation between the degree of knowledge of Statistics and Science. (4 marks) b. i. Compute the Spearman rank correlation coefficient. (6 marks) ii. Test the hypothesis that the true rank correlation coefficient is zero against a two-sided alternative. (4 marks)