1.The operations manager of Wonji sugar factory wants to estimate the average size of an order received. An order is measured in the number of Quintalsshipped. A random sample of 87 orders from customers had a sample mean value of 131Quintals. Assume that the population standard deviation is 25 Quintals and that order size is normally distributed.

a.Estimate, with 90% confidence, the mean size of orders received from all customers.

b.If the sugar factory receives 720 orders this year, calculate, with 90% confidence, the total number of Quintals of sugar that they will ship during the year.