The women's Olympic heptathlon consists of seven track and field events: the 200 meter and 800...

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The women's Olympic heptathlon consists of seven track and field events: the 200 meter and 800 meter runs, 100 meter high hurdles, shot put, javelin, high jump, and long jump. To determine the gold medal winner, athletes' performances in all seven events have to be combined into one score. Let's compare the performances of two heptathlon athletes, across 2 different events, from the 2004 Summer Olympics. Assume that both shot put and long jump distances are normally distributed. Austra Skujyt of Lithuania won the shot put with a 16.4 meter throw. The average shot put throw for all 28 athletes at the 2004 Summer Olympics was 13.29 meters, with a standard deviation of 1.24 meters. Carolina Klft of Sweden won the long jump with a 6.78 meter jump. The average long jump distance for all 26 athletes at the 2004 Summer Olympics was 6.16 meters, with a standard deviation of 0.23 meters. Which athlete, Austra Skujyt or Carolina Klft, performed better in their respective event, and why? The women's Olympic heptathlon consists of seven track and field events: the 200 meter and 800 meter runs, 100 meter high hurdles, shot put, javelin, high jump, and long jump. To determine the gold medal winner, athletes' performances in all seven events have to be combined into one score. Let's compare the performances of two heptathlon athletes, across 2 different events, from the 2004 Summer Olympics. Assume that both shot put and long jump distances are normally distributed. Austra Skujyt of Lithuania won the shot put with a 16.4 meter throw. The average shot put throw for all 28 athletes at the 2004 Summer Olympics was 13.29 meters, with a standard deviation of 1.24 meters. Carolina Klft of Sweden won the long jump with a 6.78 meter jump. The average long jump distance for all 26 athletes at the 2004 Summer Olympics was 6.16 meters, with a standard deviation of 0.23 meters. Which athlete, Austra Skujyt or Carolina Klft, performed better in their respective event, and why?