document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1188005>Question 1188005</A>: <I><SPAN STYLE=\"word-break: break-all;\"> A sample mean, sample standard deviation, and sample size are given. Perform the required hypothesis test about the mean, μ, of the normal population from which the sample was drawn.\r<BR>\n" );
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document.write( "H0: μ ≥ 10,  Ha: μ < 10, \r<BR>\n" );
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document.write( "x=9.2,  s = 1.2, n = 12,  α = 0.01 </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #819045 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=819045\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> One tailed test<BR>\n" );
document.write( "alpha=0.01 p{reject Ho|Ho true}<BR>\n" );
document.write( "test statistic is a t (0.99, df=11)<BR>\n" );
document.write( "critical value is t<-2.718<BR>\n" );
document.write( "t=(9.2-10)/1.2/sqrt(12)<BR>\n" );
document.write( "=-0.8*sqrt(12)/1.2<BR>\n" );
document.write( "=-2.31<BR>\n" );
document.write( "fail to reject Ho; insufficient evidence to reject Ho at 1% level.<BR>\n" );
document.write( "p-value=0.021\r<BR>\n" );
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document.write( " </SPAN>\n" );
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