document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1150380>Question 1150380</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Test the claim about the population mean μ at the level of significance α. Assume the<BR>\n" );
document.write( "population is normally distributed. Claim: μ &gt; 22; α = 0.05; σ = 1.2 Sample statistics: x = 22.3, n =<BR>\n" );
document.write( "50 </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #773230 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=773230\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> z(0.95) right tail test has a critical value of 1.645\r<BR>\n" );
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document.write( "z=(x-mean)/sigma/sqrt(n)<BR>\n" );
document.write( "=0.3*sqrt(50)/1.2=1.768<BR>\n" );
document.write( "this is greater than the critical value so the claim is not rejected and is accepted. </SPAN>\n" );
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