FRAPPY_4D.pdf

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Scoring: An apartment building has nine floors and each floor has four aprtments. The building owner wants to install new carpeting in eight apartments to see how well it wears before she decides whether to replace the carpet in the entire building. The figure below shows the floors of apratments in the building with their apartment numbers. Only the nine apartments indicated with an asterisk (*) have children in the aprtment. 11* 12 21 22* 31 32 1st Floor 2nd Floor 3rd Floor 14 13 24 23* 34 33 41 12 51* 52 61 62 4thFloor 5th Floor 6th Floor 44 13 54 53 64 63 71 12 81 82 91 92* 7th Floor 8th Floor 9th Floor 74 13 84* 83 94 93* (a) For convenience, the apartment building owner wants to use a cluster sampling method, in which the floors are clusters, to select the eight aprtments. Describe a process for randomly selecting eight different apartments using this method. (b) An alternative sampling method would be to slect a stratified random sample of eight aprtments, where the
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