The agent tests Ho: P1-H2=0, Ha: H₁-H₂ < 0, where μ₁ = the true mean selling price of all comparable empty homes and ₂ = the true mean selling price of all comparable staged homes. The conditions for inference are met. The standardized test statistic is t = -1.35, and the P-value is between 0.10 and 0.15. What conclusion should be made using the significance level, a = 0.10?

MATLAB: An Introduction with Applications
6th Edition
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Author:Amos Gilat
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Chapter1: Starting With Matlab
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A real-estate agent conducted an experiment to test
the effect selling a staged home vs. selling an empty
home. To do so, the agent obtained a list of 10
comparable homes just listed for sale that were
currently empty. He randomly assigned 5 of the
homes to be "staged," meaning filled with nice
furniture and decorated. The owners of the 5 homes
all agreed to have their homes staged by
professional decorators. The other 5 homes
remained empty. The hypothesis is that empty
homes are not as appealing to buyers as staged
homes and, therefore, sell for lower prices than
staged homes. The mean selling price of the 5
empty homes was $150,000 with a standard
deviation of $22,000. The mean selling price of the 5
staged homes was $175,000 with a standard
deviation of 35,000. A dotplot of each sample shows
no strong skewness and no outliers.
The agent tests Ho: H1-H2 = 0, Ha: H1-H2 < 0,
where µ₁ = the true mean selling price of all
comparable empty homes and 2 = the true mean
selling price of all comparable staged homes. The
conditions for inference are met. The standardized
test statistic is t = -1.35, and the P-value is between
0.10 and 0.15. What conclusion should be made
using the significance level, a = 0.10?
Reject Ho. There is convincing evidence that the
true mean selling price of all comparable empty
homes is less than the true mean selling price of
all comparable staged homes.
Reject Ho. There is not convincing evidence that
the true mean selling price of all comparable
empty homes is less than the true mean selling
price of all comparable staged homes.
O Fail to reject Ho. There is convincing evidence
that the true mean selling price of all comparable
empty homes is less than the true mean selling
price of all comparable staged homes.
Fail to reject Ho. There is not convincing
evidence that the true mean selling price of all
comparable empty homes is less than the true
mean selling price of all comparable staged
homes.
Transcribed Image Text:A real-estate agent conducted an experiment to test the effect selling a staged home vs. selling an empty home. To do so, the agent obtained a list of 10 comparable homes just listed for sale that were currently empty. He randomly assigned 5 of the homes to be "staged," meaning filled with nice furniture and decorated. The owners of the 5 homes all agreed to have their homes staged by professional decorators. The other 5 homes remained empty. The hypothesis is that empty homes are not as appealing to buyers as staged homes and, therefore, sell for lower prices than staged homes. The mean selling price of the 5 empty homes was $150,000 with a standard deviation of $22,000. The mean selling price of the 5 staged homes was $175,000 with a standard deviation of 35,000. A dotplot of each sample shows no strong skewness and no outliers. The agent tests Ho: H1-H2 = 0, Ha: H1-H2 < 0, where µ₁ = the true mean selling price of all comparable empty homes and 2 = the true mean selling price of all comparable staged homes. The conditions for inference are met. The standardized test statistic is t = -1.35, and the P-value is between 0.10 and 0.15. What conclusion should be made using the significance level, a = 0.10? Reject Ho. There is convincing evidence that the true mean selling price of all comparable empty homes is less than the true mean selling price of all comparable staged homes. Reject Ho. There is not convincing evidence that the true mean selling price of all comparable empty homes is less than the true mean selling price of all comparable staged homes. O Fail to reject Ho. There is convincing evidence that the true mean selling price of all comparable empty homes is less than the true mean selling price of all comparable staged homes. Fail to reject Ho. There is not convincing evidence that the true mean selling price of all comparable empty homes is less than the true mean selling price of all comparable staged homes.
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