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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: Hi-P2 = 0, Hại P1 – P2< 0, where ui = the true mean selling price of all comparable empty homes and P2 = 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? O No, the random condition is not met. No, the 10% condition is not met. O No, the Normallarge sample condition is not met. O Yes, all of the conditions for inference have been met.

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: Hi-P2 = 0, Hại P1 – P2< 0, where ui = the true mean selling price of all comparable empty homes and P2 = 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? O No, the random condition is not met. No, the 10% condition is not met. O No, the Normallarge sample condition is not met. O Yes, all of the conditions for inference have been met.

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter10: Statistics
Section10.6: Summarizing Categorical Data
Problem 13CYU
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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: Hi-P2 = 0, Hại P1 – P2< 0, where ui = the true mean selling price of all comparable empty homes and P2 = 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? O No, the random condition is not met. No, the 10% condition is not met. O No, the Normalarge sample condition is not met. O Yes, all of the conditions for inference have been met.
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: Hi-P2 = 0, Hại P1 – P2< 0, where ui = the true mean selling price of all comparable empty homes and P2 = 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? O No, the random condition is not met. No, the 10% condition is not met. O No, the Normalarge sample condition is not met. O Yes, all of the conditions for inference have been met.
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