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The Washington Area Roadskaters (WAR) is a non-profit organization whose mission is to promote safe and enjoyable skating in the Washington, D.C. area. WAR was

The Washington Area Roadskaters (WAR) is a non-profit organization whose mission is to promote safe and enjoyable skating in the Washington, D.C. area. WAR was founded in 1987 as Washington Area Rollerskaters and is one of the oldest skate clubs in the US. More info is available at skatedc.org. WAR hosts a weekly skate each Sunday with multiple routes that vary in distance for intermediate and advanced skaters. The data set found in our StatCrunch group is called "Sunday Skates for 2020/2021" and presents the distance (in miles) recorded for the Sunday skates in 2020 and 2021.

Calculate the distance for a Sunday skate that would put it in the shortest 1.5% (bottom 1.5%) or longest 2.5% (top 2.5%) of all skates. What would be the maximum distance for the shortest 1.5% and the minimum distance for the longest 2.5%? Show all calculations to find both distances using the Standard Normal Table and present both distances in your answer.

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