b. Below is the sample of five lecturer's hours of teaching at a community college. 10 5 15 10 20 i. Construct a 95 percent confidence interval estimate for the population mean amount of teaching hours. What assumption you must make before you proceed with the calculation? Justify your answer. ii. Interpret the interval constructed in b(1) above. (2 Marles) iii. The teachers who teach less than 16 hours are considered as researchers. Let's assume that in a new ample of teachers at the same community college, there are; a) Five teachers teaching for 10 hours, b) Fifteen teachers teaching for 5 hours, c) Fifteen teachers teaching for 15 hours d) Five teachers teaching for 20 hours. Using the information in b(ii) (a)-b(iii) (d) above, construct a 95 percent confidence interval estimate for the population proportion of teachers who teach less than 16 hours. Interpret your answer. (11 Marks)