At the 1996 Summer Olympic games in Atlanta, Linford Christie of Great Britain was disqualified from the fi nals of the mens 100-meter race because of a false start. Christie did not react before the starting gun sounded, but he did react in less than 0.1 second. According to the rules, anyone who reacts in less than a tenth of a second must have false-started by anticipating the races start. Christie bitterly protested the ruling, claiming that he had just reacted very quickly. Using the reaction times from the first heat of the mens 100-meter race, try to weigh the merits of Christies
View complete question »At the 1996 Summer Olympic games in Atlanta, Linford Christie of Great Britain was disqualified from the fi nals of the mens 100-meter race because of a false start. Christie did not react before the starting gun sounded, but he did react in less than 0.1 second. According to the rules, anyone who reacts in less than a tenth of a second must have false-started by anticipating the races start. Christie bitterly protested the ruling, claiming that he had just reacted very quickly. Using the reaction times from the first heat of the mens 100-meter race, try to weigh the merits of Christies claim versus the argument of the race officials that no one can react as fast as Christie did without anticipating the starting gun. a. Open the Reaction workbook from the Chapter05 folder and save it as Reaction Time Analysis. b. Create a histogram of the reaction times. Where would a value of 0.1 second fall on the chart? c. Calculate the mean and standard deviation of the first heats reaction times. Use these values in Excels NORMDIST function and calculate the probability that an individual would record a reaction time of 0.1 or less. d. Create a normal probability plot of the reaction times. Do the data appear to follow the normal distribution? e. Save your workbook and write a report summarizing your conclusions. Include in your summary a discussion of the difficulties in determining whether Christie anticipated the starters gun. Are the data appropriate for this type of analysis? What are some limitations of the data? What kind of data would give you better information regarding a runners reaction times to the starters gun (specifically, runners taking part in the finals of an Olympic event)?
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