Applied Statistics Question 3 John is developing a mini mobile game. He randomly invites 15 colleagues to play the game and records the number of minutes each player needs to finish the game. The result is as follow: 22 9 19 12 23 19 18 16 17 15 13 15 18 17 16 (a) Find the point estimate of the population mean time a player needs to finish the game. (2 marks) (b) It is reasonable to assume the finishing time follows a normal distribution. Construct a 99% confidence interval of the population mean time a player needs to finish the game. (6 marks) (c) Is the assumption that the finishing times following a normal distribution stated in part (b) necessary for the construction of the confidence interval estimate? (no explanation is required.) (Answer: Yes/No) (2 marks) (Total: 10 marks)