Susan is an engineering student who decides to take part in three competitions where puzzles need to be solved as quickly as possible by correctly fitting all the pieces of a gadget together in each case. In Competition A, she takes 125 seconds to complete the puzzle, in Competition B she takes 140 seconds, and in Competition C she takes 118 seconds. Overall completion times for participants in Competition A are normally distributed with a mean of m = 119 seconds and a standard deviation s = 7 seconds. Completion times for participants in Competition B are normally distributed with a mean of m = 165 seconds and a standard deviation s = 15 seconds.
Completion times for participants in Competition C are normally distributed with a mean of m = 109 seconds and a standard deviation s = 8 seconds. In which competition was Susan’s performance better, relative to others who took part in that competition? Justify your answer, quoting relevant statistics as part of your explanation.
Completion times for participants in Competition C are normally distributed with a mean of m = 109 seconds and a standard deviation s = 8 seconds. In which competition was Susan’s performance better, relative to others who took part in that competition? Justify your answer, quoting relevant statistics as part of your explanation.