10 5 Diamond League is an athletics competition that takes place every year in 14 locations, including Monaco and London. Tessa believes that athletic performances in different locations vary due to a range of factors including the weather and the stadium design. She collected Diamond League race times for Monaco and London. The race times, in minutes and seconds, of all athletes finishing the Men’s 800 metres (2019) are given in Figure 2. Diamond League race times for the Men’s 800 metres (2019) Monaco London 1 m 41.89 s 1 m 43.14 s 1 m 42.54 s 1 m 43.48 s 1 m 43.62 s 1 m 43.74 s 1 m 43.70 s 1 m 43.90 s 1 m 43.83 s 1 m 44.42 s 1 m 44.40 s 1 m 44.52 s 1 m 44.69 s 1 m 44.61 s 1 m 45.08 s 1 m 44.75 s 1 m 45.43 s 1 m 44.97 s 1 m 45.78 s 1 m 45.03 s 1 m 45.10 s [Data source: https://monaco.diamondleague.com/, https://london.diamondleague.com/] Figure 2 (a) Use the race times given in Figure 2 to test whether the average race time for the Men’s 800 metres in Monaco is different from that for the Men’s 800 metres in London. Assume that race times for the Men’s 800 metres are not normally distributed. Make any necessary assumptions regarding independence. (8) _____________________________________________________________________________________ _____________________________________________________________________________________ _____________________________________________________________________________________ _____________________________________________________________________________________ _____________________________________________________________________________________ _____________________________________________________________________________________ _____________________________________________________________________________________ _____________________________________________________________________________________ _____________________________________________________________________________________