The data set olympic$1500$m$.$txt contains results of $23$ races of the men$$s $1500$m

speed skating competition during the $2002$ Winter Olympic Games in Salt Lake City. Variable race denotes the number of the race, variable inner denotes the time $($in seconds$)$ of the skater starting in the inner lane, variable outer denotes the time $($in seconds$)$ of the skater starting in the outer lane, and variable diff denotes the time difference $$inner lane minus outer lane$.$ We want to investigate whether speed skaters have an advantage in the $1500$m race if they start in the outer

lane.