document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1202585>Question 1202585</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Company is interested in finding out if there is any difference in the average salary received by managers of two divisions. Accordingly, samples of 12 managers in the first division and 10 managers in the second division where selected at random. The results are given below:<BR>\n" );
document.write( "Div 1: n1=12, bar x1=12500, s1=320\r<BR>\n" );
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document.write( "Div2: n2=10, bar x2=11200, s2=480<BR>\n" );
document.write( "Use alpha= 0.05 to find out whether there is significant difference in the average salary </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #837542 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=837542\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> first division:<BR>\n" );
document.write( "sample size is 12<BR>\n" );
document.write( "sample mean is 12500<BR>\n" );
document.write( "sample standard deviation is 320\r<BR>\n" );
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document.write( "second division:<BR>\n" );
document.write( "sample size is 10<BR>\n" );
document.write( "sample mean is 11200<BR>\n" );
document.write( "sample standared deviation is 480\r<BR>\n" );
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document.write( "the calculator at <a  rel=nofollow HREF= \"https://www.graphpad.com/quickcalcs/ttest2/\" target = \"_blank\">https://www.graphpad.com/quickcalcs/ttest2/</a> indicates that the diference is significant at alpha = .05.\r<BR>\n" );
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document.write( "here are the results.\r<BR>\n" );
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document.write( "here's a reference on how to do it via formula.<BR>\n" );
document.write( "<a  rel=nofollow HREF= \"https://www.jmp.com/en_us/statistics-knowledge-portal/t-test/two-sample-t-test.html\" target = \"_blank\">https://www.jmp.com/en_us/statistics-knowledge-portal/t-test/two-sample-t-test.html</a><BR>\n" );
document.write( "unfortunately, if you work it through, you will probably not get the exact answer, but it should be close.<BR>\n" );
document.write( "i worked through it and got a t-score of 7.59.<BR>\n" );
document.write( "this is the same as the results from the calculator.<BR>\n" );
document.write( "that doesn't always happen because the calcuators can have different assumptions than the formula used, but it happily worked out in this case.\r<BR>\n" );
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document.write( " </SPAN>\n" );
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