Exercise 2 (4 marks) The manufacturer of a heavyduty cooling fan claims that the mean lifetime of these fans under severe conditions is greater than 6 months. For each of the following situations, determine whether the decision was correct, a type I error occurred, or a type II error occurred. a) The claim is true, and H0 is rejected. b) The claim is false, and H0 is rejected. c) The claim is true, and H0 is not rejected. d) The claim is false, and H0 is not rejected