[30] QUESTION 2 It is desired to find out if the true average diameter of blood vessels is 2 cm based on a random sample of size n = 9 animals. The following observations were made: 2.10 1.80 2.10 1.90 2.20 2.00 1.80 1.95 1.85 It is desired to test if the true average diameter is equal to 2 cms. (a) Write down the null and alternative hypotheses. (2) (b) Conduct the appropriate test at the a = 0.01 level of significance. State the decision rule and (9) conclusion. (4) (c) How will the test procedure change if o = 0.10 cm is known? [15]