Theoperationsmanager ofacomputeraccessories firm withbranchesinCapeTownandDurban wants to establish whether their Cape Town branch is performing better than their Durban branch in terms of the average size of orders received. Both branches have been operating for only one year. A random sample of 17 orders from the Cape Town branch had an average value of R335.20 with a standard deviation equal to R121.50. Orders received by the Durban branch of the firm were also randomly sampled. The average of the 15 orders sampled was R265.60 with a sample standard deviationofR152.20.Cantheoperationsmanagerconclude,atthe5%significancelevel,thattheCape TownbranchisperformingbetterthantheDurbanbranch? Showthenullandalternativehypotheses for the test and draw theappropriateconclusion.