A Business School claims that through the application of simulation learning on management subjects, students academic performance will be improved by at least 38%. Data collected from 18 students who had gone through simulation learning process give the average performance improvement of 35% with standard deviation of 12.2%. Assumes data is normally distributed.\ \ (a) Develop the null and alternate hypotheses for the Business Schools claim. (2 marks)\ \ (b) At significance level of 0.10, what is the critical value and decision rule for the hypotheses test?\ \ (3 marks)\ \ (c) Is there evidence to doubt the Business Schools claim at a significance level of 0.10?\ \ (4 marks)\ \ (d) What would you suggest to the Business School in order to improve accuracy of the hypotheses test?\ \ (1 mark)