document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=382255>Question 382255</A>: <I><SPAN STYLE=\"word-break: break-all;\"> A random sample of 121 observations from a population with a standard deviation of 50 yielded a sample mean of 150. Test the null hypothesis that the mean is 145 against the alternative at 10% level of significance. </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #270965 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=270965\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> A random sample of 121 observations from a population with a standard deviation of 50 yielded a sample mean of 150. Test the null hypothesis that the mean is 145 against the alternative at 10% level of significance.<BR>\n" );
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document.write( "Ho: u = 145<BR>\n" );
document.write( "Ha: u is not 145<BR>\n" );
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document.write( "t(150) = (150-145)/[50/sqrt(121)] = 1.1<BR>\n" );
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document.write( "p-value = 2*P(t >1.1 when df = 49) = 2*0.1383 = 26.6%<BR>\n" );
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document.write( "Since the p-value is greater than 10%, fail to reject Ho <BR>\n" );
document.write( "at the 10% significance level.<BR>\n" );
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document.write( "Cheers,<BR>\n" );
document.write( "Stan H. </SPAN>\n" );
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