What is the answer for (iii) part three

A8. i. The 95% Confidence Interval for an unknown population mean is calculated using a sample size of 64 and is presented as (273, 663). Determine the sample mean and the population standard deviation. [4 marks] ii. Two students, A and B, from different countries take a similar psychometric test. The tests have a different marking scheme and past experience shows that the marks are approximately normally distributed. Below are the student marks, country mean and country standard deviation of marks. Which student did best in their country and why? Explain your answer. [3 marks] Student in Student mark country H country o country A 2.85 3.0 0.7 B 77 80 10 iii. The psychometric test in country B is also used as part of a company's graduate recruitment process. The company wants to set a cut off mark so only the top 8% of applicants pass the test. What should the mark be set at? [3 marks]