A study study was conducted to investigate the waiting times for subsidised residential care services for the elderly and a random sample of 10 observations was presented as follows. Observation Age to join the queue Age left the queue Received the service? 1 73.2 75.3 Yes 2 68.5 70.1 No 3 74.6 76.4 Yes 4 67.1 69.3 Yes 5 82.0 83.5 No 6 64.9 68.3 Yes 7 75.2 78.0 Yes 8 73.7 76.2 No 9 68.3 71.2 No 10 75.4 76.2 No The government claimed that the waiting times are exponentially distributed with mean 2.5 years. Test if the data support the claim