a) Seven randomly selected economists were asked on two occasions to predict what the growth rate of GDP would be for the year ending in December 2015 in a particular country. Their predictions, made in June 2014 and December 2014 were as listed below: Economist A B C D E F G June 2014 prediction (%) 2.2 3.7 2.1 2.3 3.4 2.5 2.1 December 2014 prediction (%) 2.9 3.8 2.6 3.1 3.0 2.7 2.7 (i) Make a table below to show the increase in predictions between June 2014 and December 2014. [3 marks] [2 marks] (ii) State null and alternate hypothesis for a test to check whether economists become more optimistic on the future growth rate of GDP. (iii) Make a table below to show the absolute increase in predictions between June 2014 and December 2014 and the equivalent Rank as well. [6 marks] (iv) Use a Wilcoxon test to examine whether there is evidence at the 5% level that economists become more optimistic between June and December about the future growth rate. [4 marks]