The grades received by 50 students from a final exam are summarized in the table below. The sample average and standard deviation for the above grades are 49.82 and 20.23, respectively. Apply the chi-square test to this data to test the hypothesis that the above grades are distributed normally using a 0.05 significance level and 5 class intervals. 63 39 67 44 13 33 51 61 14 53 26 31 38 31 41 43 32 92 43 53 38 62 44 66 44 66 53 61 50 74 92 66 79 44 26 40 40 89 12 52 41 81 30 62 79 56 62 45 Considering the Table 1 solve the questions 1 and 2: istanbul Bursa anakkale Balkesir Burdur Ankara Mula Antalya stanbul 200 350 400 Bursa 125 175 200 350 anakkale 50 250 Balkesir 150 350 450 Burdur 250 250 300 Ankara 350 Mula 100 Antalya Table 1: The distance table between cities (km). (Values do not reflect the actual distances) 1.) a. Draw the network using the distances in Table 1. (Take a photo) b. Find the shortest path between Istanbul to Antalya with the help of Dijkstra Algorithm. (Take a photo) 2) a. Construct an open form math model. (Take a photo) b. Write a GAMS code and solve the math model which you found in previous part. (.gms file) Transform the GAMS code of open form model to close form and solve with GAMS again. (.gms file) d Making a simple table compare that the results in 1.b, 2.b and 2.c are consistent, or not. (Take a photo) C Considering the table 2 solve the questions 3 and 4