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Monthly rentals (5) of 2 regions in a certain country are studied by randomly choosing 2 samples. The summary statistics are displayed in the table

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Monthly rentals (5) of 2 regions in a certain country are studied by randomly choosing 2 samples. The summary statistics are displayed in the table below: Sample3 Size.n Sample Mean, x Sarnpzl:0 SD, 5 Population Variance An investigator wants to test whether the mean rentals in the 2 regions are different. a = 5% is taken. (a) Set up Ho and H1. [2] (b) Suggest. with museum. a suitable statistical test to test the hypotheses set in pan (3). [3] (c) Assume that 0,2 = of. (i) Find the critical value. Hence, write down the rejection rejection(s). [4] (ii) Calculate the test statistic. [9] (iii) Test if H0 is rejected. Make the decision and draw the conclusion accordingly. [3] (4:!) Assume that of at 022. (i) Find the critical value. Hence, write down the rejection rcgien(s). [5] (ii) Calculate the test statistic. [6] (iii) Test if H0 is rejected. Make the decision and draw the conclusion accordingly. [3]

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