A real estate agent Jennifer Nguyen was asked to analyze the one-bedroom condo prices in the GTA. She took a random sample of 9 condos in Downtown Toronto and another random sample of 6 condos in Yorkville. The sample means (in $ thousands) are 1 = 739 for Downtown Toronto and ₂ 668 for Yorkville. Historically the population standard deviations (in $ thousands) are σ1 99 for Downtown Toronto and 02 62 for Yorkville. Could Jennifer Nguyen claim at a 1% level of significance that the average price in Downtown Toronto is higher than the average price in Yorkville? Use the z-test for independent samples and the formula, 2 st = - (₁₂) — (μ₁ − μ₂) - - - 01 n1 Ho: Select an answer ✓ + O H₁ O Ho ?v H1: Select an answer ?v Note: The nature of the distributions and availability of ₁ and 2 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. Which one is the claim? σ n₂ - ANNE

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The question is complete, find part a-e on the images and part f on text below

 

 

(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) = ?
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.
2st =
(d) Does the test statistic fall into rejection region? ?
(e) What is the short version of your conclusion (in terms of Ho and H₁)?
O Fail to reject Ho and fail to support H₁ (claim)
O Fail to support Ho and reject H₁ (claim)
O Reject Ho and support H₁ (claim)
O Support Ho (claim) and support H₁
O Reject Ho and fail to support H₁ (claim)
Transcribed Image Text:(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) = ? 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. 2st = (d) Does the test statistic fall into rejection region? ? (e) What is the short version of your conclusion (in terms of Ho and H₁)? O Fail to reject Ho and fail to support H₁ (claim) O Fail to support Ho and reject H₁ (claim) O Reject Ho and support H₁ (claim) O Support Ho (claim) and support H₁ O Reject Ho and fail to support H₁ (claim)
Question 1
A real estate agent Jennifer Nguyen was asked to analyze the one-bedroom condo
prices in the GTA. She took a random sample of 9 condos in Downtown Toronto and
another random sample of 6 condos in Yorkville. The sample means (in $thousands)
are ₁ = 739 for Downtown Toronto and 2 = 668 for Yorkville. Historically the
1
population standard deviations (in $ thousands) are σ₁ = 99 for Downtown Toronto
and 02 = 62 for Yorkville. Could Jennifer Nguyen claim at a 1% level of significance
that the average price in Downtown Toronto is higher than the average price in
Yorkville? Use the z-test for independent samples and the formula,
M₂)
2st =
(Ã1 — Ñ₂) — (µ₁
-
-
0² 0²/22
+ N22
V n₁
Note: The nature of the distributions and availability of 1 and 2 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
H₁: Select an answer ✓
O H₁
O Ho
? v
?v
Which one is the claim?
0
Transcribed Image Text:Question 1 A real estate agent Jennifer Nguyen was asked to analyze the one-bedroom condo prices in the GTA. She took a random sample of 9 condos in Downtown Toronto and another random sample of 6 condos in Yorkville. The sample means (in $thousands) are ₁ = 739 for Downtown Toronto and 2 = 668 for Yorkville. Historically the 1 population standard deviations (in $ thousands) are σ₁ = 99 for Downtown Toronto and 02 = 62 for Yorkville. Could Jennifer Nguyen claim at a 1% level of significance that the average price in Downtown Toronto is higher than the average price in Yorkville? Use the z-test for independent samples and the formula, M₂) 2st = (Ã1 — Ñ₂) — (µ₁ - - 0² 0²/22 + N22 V n₁ Note: The nature of the distributions and availability of 1 and 2 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 H₁: Select an answer ✓ O H₁ O Ho ? v ?v Which one is the claim? 0
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