e. Color of your Car a) Red b) Green c] Blue d) Yellow 2H. management institute wants to test whether the aptihide for Research methods is different among the three sections of PGDM course. The institute conducts a quiz on Research methods among a sample of It] students from each of the three sections. The results of the average marks out of It], in all three sections, are presented DEIDW.A Hypothesis testing was done on this data from these 30 students and it generated the following output: {Ill} . 1 .l \""3 II I . 2? 2.956 135.36? 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 signicance (4] 1Cn'iically examine and justify the sampling scheme used in the following cases. [It] marks) a. The population is in an alphabetical order. Starting with the 51 person, every 3\" member was selected in the sample (2) b. A large state was divided into 25 smaller areas. Then ve of these were selected at random and the interviews were conducted only in these ve areas (2} c. Executives were divided into six groups banking, telecom, insurance, education, consultancy, entertainment. Random samples were taken from each of these groups according to their representatinn in the population. (2}