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A Manufacturing Engineer wants to investigate effect of using a cooling system on the reliability of a machine. The machine was observed for 2220 shifts with cooling system and 2280 shifts without that. The number of shifts where the machine has failed was recorded as follows: Cooling System Number of failures Number of observed shifts Yes 95 2220 No 139 2280 Investigate at a 0.05 level of significance if there is a difference in using the cooling system for the machine. Use a critical value approach and let using the cooling system be population 1. Clearly state the hypothesis and conclusions