Winter Olympics 2010 speed skating The top 34 women’s 500-m speed skating times are listed in the table in the next column.  a) The mean finishing time was 40.72 seconds, with a standard deviation of...

Winter Olympics 2010 speed skating The top 34 women’s 500-m speed skating times are listed in the table in the next column.

 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 0.5 second of 40.72?

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

c) Explain the discrepancy between parts a and b.