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Q4) A local government housing assessor wants to study various characteristics of offices. A random sample of 110 offices has the following characterfades: The area covered by the heating system (in square meter] is : X . 200 and S = 410 There Is central air-conditioning in 50 offices. a] Construct a 90% confidence Interval estimate for the population mean heated area of the offices, bj Construct a 99%% confidence interval estimate for the population proportion of offices that have central air conditioning. c) Suppose that the population standard deviation for the heated area of the offices is 420. (c = 420]. Construct a 95%% confidence interval estimate for the population mean heated area of the offices