A sample of 25 items produced a mean of 46. Assume that the population standard deviation is 6. Test to determine if we can infer at a = 0.05 that the population mean is less than 50 using the following steps: a) State the hypotheses. (1 mark) b) State the relevant test statistic and the reason for the selection. (1 mark) c) Level of significance. (1 mark) d) Apply the Decision rule. (4 marks) e) Calculate test statistics. (2 marks) f) Provide a conclusion based on the above steps. (2 marks)