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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 10 condos in Islington and another random sample of 5 condos in Junction. The sample means (in $ thousands) are #1 = 403 for Islington and zy = 457 for Junction. Historically, the population standard deviations (in $ thousands) are oj = 52 for Islington and on = 13 for Junction. Could Parul Jaiswal claim at a 5% level of significance that the average price in Islington is higher than the average price in Junction? Use the z-test for independent samples and the formula, (21 - 12) - (/1 - 12) Note: The nature of the distributions and availability of of and on 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. Ho: Select an answer V ) [? v H1: Select an answer V ) ? v Which one is the claim? OH O 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 3 decimal places. Critical Value(s) = [7 v ) (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. Est = (d) Does the test statistic fall into rejection region? ? v (e) What is the short version of your conclusion (in terms of Ho and H, )? O Fail to support Ho and reject H, (claim) O Fail to reject Ho and fail to support H, (claim) O Support Ho (claim) and support H1 O Reject Ho and support H1 (claim) O Reject Ho and fail to support H, (claim) (f) Select the correct statement. O I proved that the average price in Islington is lower than the average price in Junction. O At a 5% level of significance, the sample data support the claim that the average price in Islington is higher than the average price in Junction. O At a 5% 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 Junction. O I have an evidence that the average price in Islington is the same or lower than the average price in Junction