KBS suggests that students should study an average of 5 hours per week outside of class time. A student claims that the average time needed to study is more than this. He took a random sample of 30 students and found a mean of 5.2 hours. Assume the population standard deviation is 1.5 hours per week. You are told that the conditions are satisfied and do not need to be checked here.

a) Give the null and alternative hypotheses to test the student's claim.

b) Give the calculated test statistic.

c) Give the critical value if testing at the 10% level of significance.

c) State your decision and your conclusion in the context of this question.

e) Explain a Type II error in the context of this question.