Winter Olympics 2006 downhill. Fifty-three menqualified

Chapter 6, Problem 33

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Winter Olympics 2006 downhill. Fifty-three menqualified for the mens alpine downhill race in Torino.The gold medal winner finished in 1 minute, 48.8 seconds.All competitors times (in seconds) are found in the fol-lowing list:T108.80 109.52 109.82 109.88 109.93 110.00110.04 110.12 110.29 110.33 110.35 110.44110.45 110.64 110.68 110.70 110.72 110.84110.88 110.88 110.90 110.91 110.98 111.37111.48 111.51 111.55 111.70 111.72 111.93112.17 112.55 112.87 112.90 113.34 114.07114.65 114.70 115.01 115.03 115.73 116.10116.58 116.81 117.45 117.54 117.56 117.69118.77 119.24 119.41 119.79 120.93 a) The mean time was 113.02 seconds, with a standarddeviation of 3.24 seconds. If the Normal model isappropriate, what percent of times will be less than109.78 seconds?b) What is the actual percent of times less than 109.78seconds?c) Why do you think the two percentages dont agree?d) Create a histogram of these times. What do you see?

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