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2.3. The operations manager of a computer accessories firm with branches in Cape Town and Durban 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 deviation of R152.20. Can the operations manager conclude, at the 5% significance level, that the Cape Town branch is performing better than the Durban branch? Show the null and alternative hypotheses for the test and draw the appropriate conclusion