The population average for SAT scores is known to be 500 with a standard deviation of 100. This distribution is approximately normal. Fifteen (15) high school students complete a preparation programme...

The population average for SAT scores is known to be 500 with a standard deviation of 100. This distribution is approximately normal. Fifteen (15) high school students complete a preparation programme for taking the SAT test and obtain a mean score of 620. What would be the most appropriate statistical test for determining whether student who took the SAT preparation program obtained significantly greater score than the population mean? Explain your answer.