A study is conducted to estimate whether there is an average difference in bus ridership for a large city during the morning and afternoon rush hours. The transit authority's researcher randomly selects nine buses because of the variety of routes they represent. On a given day the number of riders on each bus is counted at 7:45 A.M. and at 4:45 P.M., with the following results. Bus 1 2 3 4 Morning 43 37 24 5 47 6 7 8 9 Afternoon 41 51 49 44 50 55 46 44 32 46 42 47 51 49 Use the 0.1 level of significance. (Critical value at al2 = .05 & df-8 is 1.86) a. Mention the test required to be done and null hypothesis of the test. (3 marks) b. Formulate and solve the problem. (4 marks) c. Do you believe that the ridership is different at two different times? (3 marks) 2. Are the types of professional jobs held in the computing industry independent of the number of years a person has worked in the industry? Suppose 246 workers are interviewed. Use the results obtained to determine whether type of professional job held in the computer industry is independent of years worked in the industry. Let a = .01 ( critical value at a = .01, is 16.8119) System Manager Programmer Operator Analyst 6 28 47 37 16 10 11 23 12 13 24 19 0-3 yrs 4-8 yrs 8+ yrs a. Mention the test required for the purpose and its Null hypothesis. (3 marks) b. Formulate and solve the problem. (4 marks) c. Interpretation of the output. (3 marks)