Question 1187773
i've put this through several two sample t-test calculators and they all come up with the same verdict.


there is enough to reject the claim that the average price of a home in both locations is the same.


that means the results of the test are significant at the .01 two tail significance level.


the most complete results from a visual standpoint came from the following calculator.


<a href = "https://www.evanmiller.org/ab-testing/t-test.html" target = "_blank">https://www.evanmiller.org/ab-testing/t-test.html</a>


these are the results.


<img src = "http://theo.x10hosting.com/2021/112301.jpg" >


the output says that the p-value is less than .001.


at 99% confidence interval, the p-value needs to be less than .005.


if you have to do this manually, it could be a chore.


here's a reference on how to do that.


<a href = "https://stattrek.com/statistics/dictionary.aspx?definition=two-sample%20t-test" target = "_blank">https://stattrek.com/statistics/dictionary.aspx?definition=two-sample%20t-test</a>


there is another formula to calculate the standard deviation and error that is more complicated.
i'm not sure it's worth the effort.
i did the calculations once and the difference between the standard errors using both methods wasn't that great, at lest with the example i used.
i'd recommend going with the formula in this tutorial, unless there's a good reason to do otherwise.
better yet, i'd recommend using a calculator as long as you are not required to do it manually.