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Let us define energy efficiency of a building (or of any part of a building) as 1 - ratio of energy wasted to energy consumed. a. Calculate the confidence with which we can conclude that the population mean of office room energy efficiency and population mean of residential apartment energy efficiency is different from one another. For this purpose, a random sample of 100 office rooms in a town was sampled to estimate the energy efficiency, average energy efficiency was found to be 0.705 and sample variance was found to be 1. Additionally, random sample of 80 residential apartments was collected from the same town. Average energy efficiency was found to be 0.72 and sample variance was found to be 0.2.

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