1 - Supermarket Chain Prices [30 marks] A consumer analytics agency in Canada is interested in analyzing the pricing strategies of two prominent grocery chains - MapleGrocers and TrueNorth Markets. To conduct this comparison, the agency implements a consistent shopping strategy, using a predetermined weekly grocery list to make equivalent purchases at 10 randomly selected stores from each chain. These purchases are all carried out within the same week. The data collected from these shopping trips, indicating the weekly expenses at both chains, is tabulated below. It is assumed that the weekly expenditures at each chain follow a normal distribution and population variances are equal. Store MapleGrocers Cost TrueNorth Markets Cost 1 $119.25 $111.99 2 $121.32 $114.88 3 $122.34 $115.11 4 $120.14 $117.02 5 $122.19 $116.89 6 $123.71 $116.62 7 $121.72 $115.38 8 $122.42 $114.40 9 $123.63 $113.91 10 $122.44 $111.87 a) [1 mark] Are the samples taken from MapleGrocers and TrueNorth Markets independent? Justify your