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A real estate agent Parul Jaiswal was asked to analyze the one-bedroom condo prices in the GTA. She took a random sample of 12 condos in Islington and another random sample of 7 condos in Etobicoke West Mall. The sample means (in S thousands) are $1 = 493 for lslington and :32 = 457 for Etobicoke West Mall. Historically, the population standard deviations (in $ thousands) are 01 = 66 for lslington and :72 = 27 for Etobicoke West Mall. Could Parul Jaiswal claim at a 1% level of significance that the average price in lslington is higher than the average price in Etobicoke West Mall? Use the z-test for independent samples and the formula, (5'1 - 52) - (#1 - #2) zst = 2 2 \"_1 2 n1 n2 Note: The nature of the distributions and availability of :71 and 02 allow us to use z- approach, though both samples are comparatively small. (a) State the null and alternative hypotheses, and identify which one is the claim. (> -o (> H0: Select an answer (> -o (> H1: Select an answer Which one is the claim? 'A' H1 A Ho (b) Find the critical value(s). In the first box please indicate the sign(s), and in the second box enter the numeric value. In part (b) your answer should contain 2 decimal places. Critical Value(s) = ? C C] (c) What is the test statistic? For part (c), use the correct sign for the test statistic and round your answer to 3 decimal places. Q (d) Does the test statistic fall into rejection region? ' '2 C_ (c) What is the test statistic? For part (c), use the correct sign for the test statistic and round your answer to 3 decimal places. C] (d) Does the test statistic fall into rejection region? ? c (e) What is the short version of your conclusion (in terms of H0 and H1)? C' Support H0 (claim) and support H1 Reject H0 and fail to support H1 (claim) CT Fail to support H0 and reject H1 (claim) O Reject Ho and support H1 (claim) 53 Fail to reject H0 and fail to support H1 (claim) (f) Select the correct statement. OI proved that the average price in Islington is lower than the average price in Etobicoke West Mall. (3 At a 1% level of significance, the sample data support the claim that the average price in Islington is higher than the average price in Etobicoke West Mall. Cl have an evidence that the average price in Islington is the same or lower than the average price in Etobicoke West Mall. (\"At a 1% level of significance, there is not sufficient sample evidence to support the claim that the average price in Islington is higher than the average price in Etobicoke West Mall