A real-estate agent conducted an experiment to testthe effect selling a staged home vs. selling an emptyhome. To do so, the agent obtained a list of 10comparable homes just listed for sale that werecurrently empty. He randomly assigned 5 of thehomes to be "staged," meaning filled with nicefurniture and decorated. The owners of the 5 homesall agreed to have their homes staged byprofessional decorators. The other 5 homesremained empty. The hypothesis is that emptyhomes are not as appealing to buyers as stagedhomes and, therefore, sell for lower prices thanstaged homes. The mean selling price of the 5empty homes was $150,000 with a standarddeviation of $22,000. The mean selling price of the 5staged homes was $175,000 with a standarddeviation of 35,000. A dotplot of each sample showsno strong skewness and no outliers.The agent tests Ho: H1-H2 = 0, Ha: H1-H2 < 0,where µ₁ = the true mean selling price of allcomparable empty homes and 2 = the true meanselling price of all comparable staged homes. Theconditions for inference are met. The standardizedtest statistic is t = -1.35, and the P-value is between0.10 and 0.15. What conclusion should be madeusing the significance level, a = 0.10?Reject Ho. There is convincing evidence that thetrue mean selling price of all comparable emptyhomes is less than the true mean selling price ofall comparable staged homes.Reject Ho. There is not convincing evidence thatthe true mean selling price of all comparableempty homes is less than the true mean sellingprice of all comparable staged homes.O Fail to reject Ho. There is convincing evidencethat the true mean selling price of all comparableempty homes is less than the true mean sellingprice of all comparable staged homes.Fail to reject Ho. There is not convincingevidence that the true mean selling price of allcomparable empty homes is less than the truemean selling price of all comparable stagedhomes.

The provided information is Ho:µ1-µ2=0Ha:µ1-µ2<0The test statistics is t=-1.35α=0.10The p-value…

Answered: The agent tests Ho: P1-H2=0, Ha: H₁-H₂…

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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Need the test statistic & p value. & confidence interval. Thankyou.
Researchers doing a study comparing time spent on social media and time spent on studying randomly sampled 200 students at a major university. They found that students in the sample spent an average of 2.3 hours per day on social media and an average of 2.17 hours per day on studying. If all the students at the university in fact spent 2.2 hours per day on studying, with a standard deviation of 2 hours, the probability of getting a sample average of 2.17 or less is: a. 0.0023. b. 0.9932. c. 0.5792. d. 0.4160.
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You wish to test the following claim (Ha) at a significance level of a = 0.01. H.:P1 = P2 Ha:P1 > P2 The 1st population's sample has 74 successes and a sample size = 371. The 2nd population's sample has 47 successes and a sample size = 396. What is the test statistic (z-score) for this sample? (Round to 3 decimal places.) test statistic = What is the p-value for this sample? (Round to 3 decimal places.) p-value = The p-value is... O less than (or equal to) a greater than a This test statistic leads to a decision to... reject the null O fail to reject the null accept the null As such, the final conclusion is that... O The sample data support the alternate hypothesis claim that p1 > p2. O There is not sufficient sample evidence to support the alternate hypothesis claim that p1 > p2.

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