A student develops a new approach for the solution of a problem (here referred to as method B). The current state-of-the-art approach, method A, has been applied to a large standard problem set where its average performance was discovered to be 7 with a standard deviation of 3 . Here are the performance numbers for the student’s method B: {9, 5, 9, 10, 15, 4, 7, 4, 12, 7, 8, 10, 6, 4, 12}. Looking at this data, the student discovers that it seems that method B outperforms method A and sets out to prove this using significance testing with a two-tailed 1% significance threshold. Evaluate the results in terms of the hypothesis that method B has a higher performance than method A. List all the steps (and formulas) involved in the test and what the result implies for the significance of the hypothesis. (25 points)