document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1066038>Question 1066038</A>: <I><SPAN STYLE=\"word-break: break-all;\"> A random sample of 10 observations from one population revealed a sample mean of 23 and a sample standard deviation of 4. A random sample of 8 observations from another population revealed a sample mean of 26 and a sample standard deviation of 5. At the .05 significance level, is there a difference between the population means? </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #681201 by </B><A HREF=/tutors/aboutme.mpl?userid=stanbon><B>stanbon(75887)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=stanbon><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/images/nopicture.jpg><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=681201\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\">  A random sample of 10 observations from one population revealed a sample mean of 23 and a sample standard deviation of 4. A random sample of 8 observations from another population revealed a sample mean of 26 and a sample standard deviation of 5. At the .05 significance level, is there a difference between the population means? <BR>\n" );
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document.write( "Ho: u1-u2 = 0<BR>\n" );
document.write( "Ha: u1-u2 # 0<BR>\n" );
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document.write( "x-bar = (23-26) = -3<BR>\n" );
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document.write( "t(-3) = (-3-0)/sqrt[(4^2/10)+(5^2/8)] = -3/2.1737 = -1.3801<BR>\n" );
document.write( "df = n2-1 = 7<BR>\n" );
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document.write( "p-value = 2*P(-100< t < -1.3801) = 2*tcdf(-100,-1.3801,7) = 0.2100<BR>\n" );
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document.write( "Since the p-value is greater than 5%, fail to reject Ho.l<BR>\n" );
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document.write( "Conclusion:: The two means are statistically equal at the<BR>\n" );
document.write( "5% significance level.<BR>\n" );
document.write( "Cheers,<BR>\n" );
document.write( "Stan H.<BR>\n" );
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