Each person has their own average time in which they run the 100 Meters race. However, the running time varies from race to race. As such, 100 Meter running times for each person follow a normal distribution centered on their own personal average (μi ) with a standard deviation of 0.5 seconds. Your friend Brian, claims that his average running time for the 100M is 11 seconds (that is, he claims that μbrian=11). You watch him run a single race and his time is 11.8 seconds. a) How confident are you that Brian is telling the truth about his time being 11 seconds on average?