document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1101701>Question 1101701</A>: <I><SPAN STYLE=\"word-break: break-all;\"> A sample mean, sample size, and population standard deviation are given. Use the<BR>\n" );
document.write( "one-mean z-test to perform the required hypothesis test at the given significance level.<BR>\n" );
document.write( "&#119909;&#119909;&#773;= 51, &#119899;&#119899; = 36, &#120590;&#120590; = 3.6, H0 : &#956; = 50; Ha : &#956; > 50; &#945; = 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 #716375 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=716375\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\">  A sample mean, sample size, and population standard deviation are given. Use the<BR>\n" );
document.write( "one-mean z-test to perform the required hypothesis test at the given significance level.<BR>\n" );
document.write( "&#119909;&#119909;&#773;= 51, &#119899;&#119899; = 36, &#120590;&#120590; = 3.6,<BR>\n" );
document.write( "--------------------------------------------<BR>\n" );
document.write( " H0 : &#956; = 50 (claim)<BR>\n" );
document.write( " Ha : &#956; > 50; &#945; = 0.01 <BR>\n" );
document.write( "-----------------\r<BR>\n" );
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document.write( "Test statistic:: z(36) = (36-51)/3.6 = -15/3.6 =  -4.167<BR>\n" );
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document.write( "p-value = P(z < -4.167) = normalcdf(-100,-4.167) = 0.000154<BR>\n" );
document.write( "Conclusion:: Since the p-value is less than 1% reject Ho at<BR>\n" );
document.write( "the 0.01 level of significance.<BR>\n" );
document.write( "-----<BR>\n" );
document.write( "Cheers,<BR>\n" );
document.write( "Stan H.<BR>\n" );
document.write( "------------<BR>\n" );
document.write( " </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );