a) A population of size 200 has a mean of 112 and a standard deviation of 40 . If Xˉ is the mean of a random sample of size 50 , i. find the mean of the sampling distribution of Xˉ. (1 mark) ii. is the population finite? Justify your answer. iii. find the standard deviation of the sampling distribution of Xˉ. SQQSIO13 ELEMENTARY STATISTICS MATRICNO.: 3 b) A study shows that 8,657 out of 28,866 UUM students own a motorcycle. Suppose from a sample of 150 students selected, 57 of them own motorcycles. Compute the sample proportion of those that own motorcycles. b) A study shows that 8,657 out of 28,866 UUM students own a motorcycle. Suppose from a sample of 150 students selected, 57 of them own motorcycles. Compute the sample proportion of those that own motorcycles. c) The delivery times for all food orders at a fast-food restaurant during the lunch hour are normally distributed with a mean of 6.5 minutes and a standard deviation of 2 minutes