My student id is 193400030 and last two digits are 30.

(2.5) 4 (a) A dry-cleaning establishment claims that a new spot remover will remove more than 70% of the spots to which it is applied. To check this claim, the spot remover will be used on 'a' spots chosen at random. If fewer than 11 of the spots are removed, we shall not reject the null hypothesis that p = 0.7; otherwise, we conclude that p > 0.7. i. Evaluate a, assuming that p=0.7. ii. Evaluate B for the alternative p=0.9. (Where a is last two digits of your student ID). (b) The grades in a statistics course for a particular semester were as follows: x 1 2 3 4 5 6 7 8 f | 136 60 34 12 a 1 3 1 Test the hypothesis, at the 0.05 level of significance, does the distribution of grades follow poisson distribution. (Where a is last two digits of your student ID). [2.5] (2.5) 4 (a) A dry-cleaning establishment claims that a new spot remover will remove more than 70% of the spots to which it is applied. To check this claim, the spot remover will be used on 'a' spots chosen at random. If fewer than 11 of the spots are removed, we shall not reject the null hypothesis that p = 0.7; otherwise, we conclude that p > 0.7. i. Evaluate a, assuming that p=0.7. ii. Evaluate B for the alternative p=0.9. (Where a is last two digits of your student ID). (b) The grades in a statistics course for a particular semester were as follows: x 1 2 3 4 5 6 7 8 f | 136 60 34 12 a 1 3 1 Test the hypothesis, at the 0.05 level of significance, does the distribution of grades follow poisson distribution. (Where a is last two digits of your student ID). [2.5]