document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1176847>Question 1176847</A>: <I><SPAN STYLE=\"word-break: break-all;\"> A random sample of 300 observations from a normal population whose standard deviation is 100 produced a mean of 150. Test the null hypothesis H0: μ=160 against the alternative hypothesis<BR>\n" );
document.write( "HA: μ<160. Use α=0.05 </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #804805 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=804805\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> test statistic will be a z=(150-160)/100/sqrt(300), z=(x bar-mean)/sigma/sqrt(nn)<BR>\n" );
document.write( "critical value for a 1 way test is z < -1.645<BR>\n" );
document.write( "z=-10*sqrt(300)/100<BR>\n" );
document.write( "=-10*sqrt(3)*10/100=-sqrt(3)=-1.732<BR>\n" );
document.write( "reject Ho p-value is 0.0416 </SPAN>\n" );
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