document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1171701>Question 1171701</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Two independent samples of observations were collected. For the first sample of 60 elements, the mean was 86 and the standard deviation 6. The second sample of 75 elements had a mean of 82 and a standard deviation of 9.<BR>\n" );
document.write( "(a)	Compute the estimated standard error of the difference between the two means.<BR>\n" );
document.write( "(b)	Using £ = 0.01, test whether the two sample can reasonably be considered to have come from populations with the same mean. <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 #797418 by </B><A HREF=/tutors/aboutme.mpl?userid=Boreal><B>Boreal(15235)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=Boreal><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=Boreal><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=797418\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> SE is sqrt((s1^2/n1)+(s2^2/n2))<BR>\n" );
document.write( "=sqrt((36/60)+(81/75))<BR>\n" );
document.write( "=1.296<BR>\n" );
document.write( "difference in means is 4<BR>\n" );
document.write( "the t-value for df=133 is 3.08 <BR>\n" );
document.write( "p-value for two way test is 0.0025<BR>\n" );
document.write( "fail to reject Ho; the two samples should be treated as if they came from different populations. </SPAN>\n" );
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