The times from the first race of the women’s 2 x 500-m speed skating times
are listed in the table below.
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.

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Nation Korea Germany China Netherlands China Japan Russian Federation China United States Germany China Japan Canada Netherlands DPR Korea. Japan Japan United States Kazakhstan United States Netherlands Canada Germany Russian Federation Czech Republic Korea Russian Federation Italy United States Korea Australia Russian Federation Korea Canada Belarus Netherlands Athlete Sang-Hwa Lee Jenny Wolf Beixing Wang Margot Boer Shuang Zhang Sayuri Yoshii Yulia Nemaya Peiyu Jin Heather Richardson Monique Angermuller Aihua Xing Nao Kodaira Christine Nesbitt Thijsje Oenema Hyon-Suk Ko Shihomi Shinya Tomomi Okazaki EiOchowicz Yekaterina Aydova Jennifer Rodriguez Laurine van Riessen Shannon Rempel Judith Hesse Olga Fatkulina Karolina Erbanova Bo-Ra Lee Svetlana Kaykan Chiara Simionato Lauren Cholewinski Jee-Min Ahn Sop e Muir Yekaterina Malysheva Min-Jee Oh Anastasia Bucsis Svetlana Radkevich Annette Gerritsen Result 38.249 38.307 38.487 38.511 38.530 38.566 38.594 38.686 38.698 38.761 38.792 38.835 38.881 38.892 38.893 38.964 38.971 39.002 39.024 39.182 39.302 39.351 39.357 39.359 39.365 39.396 39.422 39.480 39.514 39.595 39.649 39.782 39.816 39.879 39.899 97.952