document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1187773>Question 1187773</A>: <I><SPAN STYLE=\"word-break: break-all;\"> 1.A real estate agent compares the selling prices of homes in two municipalities in southwestern Pennsylvania to see if there is a difference in price. The results of the study are shown. Is there enough evidence to reject the claim that the average cost of a home in both locations is the same? Use α = 0.01.\r<BR>\n" );
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document.write( "Scott       X1 = $93430     sd = 5602    n = 35\r<BR>\n" );
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document.write( "Ligonier    X2 = $98043     sd = 4731    n = 40<BR>\n" );
document.write( "*Based on information from RealSTATs.\r<BR>\n" );
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document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #819174 by </B><A HREF=/tutors/aboutme.mpl?userid=Theo><B>Theo(13342)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=Theo><IMG SRC=http://www.algebra.com/images/aboutme-small.gif BORDER=0 alt=\"About Me\" VALIGN=MIDDLE></A>&nbsp;<IMG SRC=http://www.algebra.com/cgi-bin/show-face.mpl?user=Theo><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=819174\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> i've put this through several two sample t-test calculators and they all come up with the same verdict.\r<BR>\n" );
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document.write( "there is enough to reject the claim that the average price of a home in both locations is the same.\r<BR>\n" );
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document.write( "that means the results of the test are significant at the .01 two tail significance level.\r<BR>\n" );
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document.write( "the most complete results from a visual standpoint came from the following calculator.\r<BR>\n" );
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document.write( "<a  rel=nofollow HREF= \"https://www.evanmiller.org/ab-testing/t-test.html\" target = \"_blank\">https://www.evanmiller.org/ab-testing/t-test.html</a>\r<BR>\n" );
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document.write( "these are the results.\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" src = \"http://theo.x10hosting.com/2021/112301.jpg\" >\r<BR>\n" );
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document.write( "the output says that the p-value is less than .001.\r<BR>\n" );
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document.write( "at 99% confidence interval, the p-value needs to be less than .005.\r<BR>\n" );
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document.write( "if you have to do this manually, it could be a chore.\r<BR>\n" );
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document.write( "here's a reference on how to do that.\r<BR>\n" );
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document.write( "<a  rel=nofollow 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>\r<BR>\n" );
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document.write( "there is another formula to calculate the standard deviation and error that is more complicated.<BR>\n" );
document.write( "i'm not sure it's worth the effort.<BR>\n" );
document.write( "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.<BR>\n" );
document.write( "i'd recommend going with the formula in this tutorial, unless there's a good reason to do otherwise.<BR>\n" );
document.write( "better yet, i'd recommend using a calculator as long as you are not required to do it manually.\r<BR>\n" );
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