A school principal Mr. Brown claims that the students in his school are below average intelligence. The mean population IQ is 100. Mr Brown randomly selects students and collects data about their IQ test results. Is there sufficient evidence to support the principal's claim? Use the significance level of 10% Your answers and comments a) (2 points) Set up the HO and HA. Is it a One-Tailed or Two-Tailed test? Why? b) (2 points) Calculate the sample test statistic. c) (3 points) Define the rejection region and explain in details. Make appropriate conclusion with respect to research question, HO and Ha. Provide the full interpretation of results. d) (1 point) Is it possible to reject the HO with confidence 95%? Why? e) (2 point) You would like to reduce the probability of type I error. What could be a solution? Randomly selected students' IQ test results 97 110 112 99 86 112 88 94 85 101 80 103 100 116 98 80 110 99 96 104