Question C2 The World Observatory Organization (WOO) stated that there are at least 15 typhoons per year in South China. A random sample of 10 years reveals that the mean number was 13.5 typhoons and the standard deviation is 2.3. Use a significance level of 5%. a) Formulate the null and alternative hypotheses. (2 marks b) Determine the standard error. (1 mark c) Identify the type of data distribution in this case and explain the reasons. (3 marks d) Identify the type of test in this case and explain the reason. (3 marks e) Find the critical value(s) for the required significant level and decide the rejection region. (4 marks) f) Calculate the test statistic. (3 marks g) Is there enough evidence to reject the claim of WOO at 5% level of significance? Set a decision rule and draw a conclusion on it. (4 marks