EEEE A real-estate agent conducted an experiment to test the effect of 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 five 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 ₁ = the true mean selling price of all comparable empty homes and ₂ = the true mean selling price of all comparable staged homes. Are the conditions for inference met for carrying out a t-test for a difference in means? No, the random condition is not met. No, the 10% condition is not met. No, the Normal/large sample condition is not met. Yes, all of the conditions for inference have been met.
EEEE A real-estate agent conducted an experiment to test the effect of 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 five 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 ₁ = the true mean selling price of all comparable empty homes and ₂ = the true mean selling price of all comparable staged homes. Are the conditions for inference met for carrying out a t-test for a difference in means? No, the random condition is not met. No, the 10% condition is not met. No, the Normal/large sample condition is not met. Yes, all of the conditions for inference have been met.
MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
Section: Chapter Questions
Problem 1P
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Transcribed Image Text:A real-estate agent conducted an experiment to test
the effect of 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 five 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
M₁ = the true mean selling price of all comparable
empty homes and ₂ = the true mean selling price of
all comparable staged homes. Are the conditions for
inference met for carrying out a t-test for a difference
in means?
No, the random condition is not met.
No, the 10% condition is not met.
No, the Normal/large sample condition is not met.
Yes, all of the conditions for inference have been
met.
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