At a petrol station, the manager thinks that one of the pumps is not working properly and is giving out more petrol than it should. She decides to test this claim by filling up ten buckets with 5 litres, according to the pump. The results, in cm³, are given below (1 litre = 1000 cm³).

It is assumed that the amounts given are from a normal distribution.

5001, 5002, 5009, 4996, 4997, 5001, 5003, 5006, 5013, 5013

Using this sample, test at the 5% significance level whether or not the petrol pump is giving out too much petrol.