b) You and your friends are trying to decide which of two pizza places delivers pizzas faster. For ve consecutive nights, you and your friends order one pizza each from the pizza places and recorded the delivery time in minutes. Assume that pizza delivery time follows normal distribution and population varianoe is equal. Dominos Pizza Hut 33 35 32 31 29 35 38 37 37 33 i. Find the mean, variance and standard deviation of the delivery time for the two pizza places. (10 Marks) ii. Perform the hypothesis testing to test if there is a signicant difference in average delivery time for the two pizza places. Use a = 0.05. (10 Marks) Food Panda claims that at least 80% of its new customers will return to place their next order. i. State the null and alternative hypotheses. (1 Mark) ii. Describe Type I and Type II errors for the hypotheses in (i). (4 Marks) [Total : 25 Marks]