A teacher claims that the mean time of secondary school students in doing exercise is at least 60 minutes per week in this quarter although students are encouraged to stay at home in recent weeks. A random sample of 36 secondary school students is chosen and their time spent in doing exercise in the last week have a mean of 57.4 minutes and a standard deviation of 10 minutes. Test the teacher's claim at a level of significance of 0.0495. (a) State the hypothesis and identify the claim. Indicate also whether the test is left-tailed, right- tailed or two-tailed. (3 marks) (b) Find the critical value. Correct your answer to 2 decimal places. (3 marks) (c) Find the test value. Correct your answer to 2 decimal places. (3 marks) (d) Make a decision for the test using critical value method. (3 marks) (e) Summarize the result of the test