In a study of alternative office layouts, Pro World Properties, a large international realty company, chose 12 of its local offices to test the impact of two different layouts on those working in the offices. The offices were paired by size, region, function and performance history. One of the variables of interest in the study was the number of sick days taken per office worker. The table below shows the sick days reported for the six office pairs over the six month trial period. Assuming that all necessary population conditions are satisfied, construct a hypothesis test to test a null hypothesis that there is no difference in average number of sick days taken for the two layouts in the study. Use a significance level of 5%.

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Sick Days/Worker Office Pair2 3 56 Layout 1 36 3.3 24 445.2 3.3 Layout 2 24 18 07 2 3.2 2.4