EC203 Economic Statistics Problem Scenario Assignment (10%) Due date: Monday 27 May 2024, 11pm (Fiji Time) The Scenario: A female bank office manager, in a major bank in Vanuatu, believes that the average amount of time spent by her office support staff reading and responding to bank enquiries from customers' emails exceeds 25 minutes per day. To test this belief, she took a random sample of 18 office support staff and measures the amount of time each spends reading and responding to emails. The results are recorded and listed in the table below. 37 50 31 46 19 23 34 30 36 25 15 11 13 32 44 39 50 50 Required: If the population of times for reading and deleting spam is normal with standard deviation of 14 minutes, can the manager infer at the 19% significance level that she is correct?Content: 18 marks 3. The step by step of how to solve the scenario 1s presented 2 marks clearly. 4. The working out, calculations and the explanation of each step 14 marks are correct, clear and to the point. 5. A conclusion is provided and 1s correct, in correspondence or 2 marks in alignment with the correct working out, calculations and explanation in previous steps