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A retail company is using trial services by three transportation companies. It randomly assigns its shipments to these transporters an proportion of on time delivery are recorded in the table below for seven trial days. Transporter proportion of on time shipment 1 0.96 0.98 0.97 0.98 0.96 0.96 0.95 N 0.94 0.97 0.96 0.96 0.95 0.98 0.97 0.98 3 0.85 0.89 0.93 0.91 0.88 0.93 0.91 0.88 (a) Find a 90% confidence interval for the difference in the on time delivery performance of of transporters 1 and 2. Can we conclude that there is a difference in their means at the 10% level of significance? (b) Find a 90% confidence interval for the difference in the on time delivery performance of of transporters 2 and 3. Can we conclude that there is a difference in their means at the 10% level of significance? (c) Can you say at 5 percent significance that the target of maintaining on time delivery of 95 percent is met by transporter 1. [3 + 3 + 3 =9]