You selected a sample of n = 5 individuals from a normal population with = 80 and = 6. The 5 individuals underwent training on problem solving. Following the training, the students obtained =a M = 83. (16 marks)

a. Conduct a hypothesis test (five steps) to find out if the training had a significant effect on these 5 individuals. Use a two-tailed test with.05. (Hint:Test using the z-score.)(10 marks)

b. Suppose you had a larger sample of n = 25 whose M = 83, what would your conclusion be? Why? Use the five steps, two-tailed test .05. (Hint:Test using thez-score as well.)(6 marks)