The table below shows the times (in seconds) of all finishers in the finals of the men's 100-meter race in the 2000, 2008, and 2016 competition. 2000: 9.85, 9.94, 10.02, 10.04, 10.07, 10.13, 10.19 O 2008: 9.66, 9.84, 9.92, 9.93, 9.97, 10.03, 10.08 2016: 9.84, 9.87, 9.93, 9.95, 9.97, 10.03, 10.08 a. Find the mean and standard deviation of each data set. b. Is there evidence that during this 16-year period runners have gotten faster, either individually or as a group? a. Compute the mean and standard deviation of each set. The mean for the 2000 runners is. (Type an integer or decimal rounded to three decimal places as needed.) The mean for the 2008 runners is. (Type an integer or decimal rounded to three decimal places as needed.) The mean for the 2016 runners is. (Type an integer or decimal rounded to three decimal places as needed.) The standard deviation for the 2000 runners is. (Type an integer or decimal rounded to three decimal places as needed.) The standard deviation for the 2008 runners is (Type an integer or decimal rounded to three decimal places as needed.) The standard deviation for the 2016 runners is. (Type an integer or decimal rounded to three decimal places as needed.) b. Is there evidence that during this 16-year period runners have gotten faster, either individually or as a group? A. The group has gotten faster, because the standard deviation has gone down. Individually there is no change, because the fastest time had a negligible change. B. The group has not gotten faster, because the mean time has not gone down. Individually there is no change, because the fastest time had a negligible change. C. The group has gotten faster, because the mean time has gone down. Individually there is no change, because the fastest time had a negligible change. D. The group has not gotten faster, because the standard deviation has not gone down. Individually there is no change, because the fastest time had a negligible ch O O O O

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