JM Property, a Nordic property developer, is considering the price for three housing subdivisions (apartment, single storey, and double storey) in Malmö, Sweden. Random samples of prices were taken for the three different types of houses by using the stratified random sampling method and determined the following statistical results.

a. Using an unbiased estimation procedure, find the average selling price for the three different types of houses in Malmö.
b. Find a 95% confidence interval for the total selling price for the three housing subdivisions in Malmö.

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N₁ n₂ ; (in $000) S₁ Apartment 520 173 429 1.2 Single Storey Double Storey 875 201 621 0.86 605 126 958 1.15