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A4. One of the largest real estate websites reported the median price of a house in Queensland (OLD) is less than the median price of a house in Western Australia (WA). Suppose a survey of 8 randomly selected houses in QLD and 11 randomly selected houses in WA is taken over the last 6 months. The data from the two samples were pooled and ranked from smallest to largest according to prices. The ranks of these two samples are given in the table below: Ranks(QLD) | 2 3 4 7 5 6 9 8 Ranks(WA) 14 13 12 18 17 16 11 19 15.10 (a) Conduct the Mann-Whitney U test to determine whether the median price of houses in QLD is less than the median price of houses in WA, using a = 0.01. (7 marks) (b) What assumption is made in this test? (2 marks) A4. One of the largest real estate websites reported the median price of a house in Queensland (OLD) is less than the median price of a house in Western Australia (WA). Suppose a survey of 8 randomly selected houses in QLD and 11 randomly selected houses in WA is taken over the last 6 months. The data from the two samples were pooled and ranked from smallest to largest according to prices. The ranks of these two samples are given in the table below: Ranks(QLD) | 2 3 4 7 5 6 9 8 Ranks(WA) 14 13 12 18 17 16 11 19 15.10 (a) Conduct the Mann-Whitney U test to determine whether the median price of houses in QLD is less than the median price of houses in WA, using a = 0.01. (7 marks) (b) What assumption is made in this test? (2 marks)

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