STAT 245 Study Guide - Standard Deviation, Random Variable, Null Hypothesis
Document Summary
Let x be the time it takes a runner to complete a 1500 meter race. It is known that for this specific runner, the random variable x has a normal distribution with mean = 250. 0 seconds and standard deviation = 6. 5 seconds. Compute the probability that: the runner completes his next 1500 meter race in under 4 minutes: 5. 6: the runner takes between 245 and 252 seconds to complete his next 1500 meter race. In the next n = 5 races the runner"s average time to complete the race is under 252 seconds. 245 and 254 seconds: in the next n = 3 races the runner"s average time to complete the race is between. In the next n = 5 races, the runner beats the time of 245 seconds exactly 3 times. In the next n = 5 races, the runner beats the time of 245 seconds at least 4 times.
