The scores for the final exam in Math 2250 is normally distributed with a mean of 60 and standard deviation of 15. Given that 120 students wrote the final exam, i) State and test the hypothesis that the mean score is greater than 65 at a 10% level of significance. Include a p-value in your answer. 14] Construct and interpret 90% confidence kvel for the mean score. [3] ii.) iii.) Using the same level of significance, determine how many students must write the final exam to have a bound of error as 2.5. [2]