Winter Olympics 2010 speed skating The times from the first race of the women’s 2 * 500-m speed skating event are listed in the following table. (www.olympic.org/

vancouver-2010/speed-skating/2x500m-women)

a) The mean finishing time was 40.72 seconds, with a standard deviation of 9.82 seconds. If the Normal model is appropriate, what percent of the times should be within 5 seconds of 40.72?

b) What percent of the times actually fall within this interval?

c) Explain the discrepancy between parts a and b.