Give example to show that = (asn), when n = 2. Hsp and Op = Problem VI A restaurant tells its customers that the average cost of a dinner there is $ 52 with a standard deviation of $ 4.50. A group of concerned customers thinks that the a average cost is higher. In order to test the restaurant claim, 100 customers purchase a dinner at the store and find that the mean price is $ 52.80. Perform a hypothesis test at 0.05 significance level and State the decision. Problem VII 1- Convert the following x-value into z-value where u = 5 and = 3 The values are x=8, x= 11 and x = 2. 2- Find the following i. ii. iii. P(2 x 11) P(z 1.1) P(Z > 2.12) Problem VIII At level 99%, n = 16, x = 5 and o = 1.2. Calculate i. ii. The margin error. The confidence Interval.