The National Audit Office is tasked with conducting an audit of the fuel consumption of cars owned by state institutions. Employees are given the State Vehicle Register, which keeps a register of all publicly owned vehicles. A computer program then selects 100 vehicles from the file at random (randomly). Public agencies then hand in the petrol receipts for these 100 vehicles and the National Audit Office staff collects key figures. The average fuel consumption was 1237 liters and the standard deviation was 279 liters. Find a 95% confidence interval for the average fuel consumption of government-owned vehicles: a) Upper limit (answer with 1 decimal place) b) Lower limit (answer with 1 decimal place) c) Which statement would be correct if you had been asked to calculate a 99% confidence interval instead of a 95% confidence interval in the example above?

1. The 99% confidence interval will be larger

2. The 99% confidence interval will be smaller

3. It is not possible to know whether the gap changes based on the information provided

4. The safety margins are the same size