2-A management institute wants to test whether the aptitude for Research methods is different among the three sections of PGDM course. The institute conducts a quiz on Research methods among a sample of 10 students from each of the three sections. The results of the average marks out of 10, in all three sections, are presented below.A Hypothesis testing was done on this data from these 30 students and it generated the following output: (10) Section N Mean Std. Deviation PGDM A 10 8.30 1.337 PGDM B 10 6.20 1.751 PGDM C 10 3.70 2.003 Total 30 6.07 2.532 Test Statistic Sum of Df Mean Test Sig. Square Square Statisti S C Between 106.06 Groups 2 53.033 17.944 .000 Within Groups 79.800 27 2.956 Total 185.86 29 a. Given the problem at hand, justify the test statistic used here for testing the hypothesis? (3 marks) b. Create the null and alternate hypothesis (3) c. Interpret the results at 5% level of significance (4)