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A second-th car dealership has recorded the number of sales made in a random sample of its branches, which are located in four provinces. It
A second-th car dealership has recorded the number of sales made in a random sample of its branches, which are located in four provinces. It wishes: to know whether there are signicant differences in the mean sales levels in the four provinces. The data and selected sununary statistics are presented in the table below as follows: Salsolinol Excretion Levels Western Cape KZN Northern Cape Limpopo Suppose a. bootstrapping approach has been applied, based on 5000 bootstrap replications. For each replication, the SSE, SST and the ratio SST / SSE were calculated. The following are a selection of the sorted observed values: Position: 1 50 125 250 500 1000 SST/SSE: 0.001 0.007 0.012 0.022 0.037 0.066 Position: 4000 4500 4750 4875 4950 5000 SST/SSE: 0.358 0.522 0.683 0.901 1.198 2.337 Use these bootstrap results to compute a p-value for the hypothesis test that there are no differences in mean sales levels between the four provinces. (b) Compare the above conclusion with that obtained from the standard normal theory approach to ANOVA (consider a 5% significance level)
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