document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1112397>Question 1112397</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Assume that z is the test statistic.<BR>\n" );
document.write( "(a) Ho: &#956; = 22.5, Ha: &#956; > 22.5; x = 24.1, &#963; = 7, n = 23 <BR>\n" );
document.write( "(i) Calculate the test statistic z. (Give your answer correct to two decimal places.) <BR>\n" );
document.write( " <BR>\n" );
document.write( " \r<BR>\n" );
document.write( "\n" );
document.write( "(ii) Calculate the p-value. (Give your answer correct to four decimal places.) <BR>\n" );
document.write( " <BR>\n" );
document.write( " \r<BR>\n" );
document.write( "\n" );
document.write( "(b) Ho: &#956; = 200, Ha: &#956; < 200; x = 193, &#963; = 38, n = 36 <BR>\n" );
document.write( "(i) Calculate the test statistic z. (Give your answer correct to two decimal places.) <BR>\n" );
document.write( " <BR>\n" );
document.write( " \r<BR>\n" );
document.write( "\n" );
document.write( "(ii) Calculate the p-value. (Give your answer correct to four decimal places.) <BR>\n" );
document.write( " <BR>\n" );
document.write( " \r<BR>\n" );
document.write( "\n" );
document.write( "(c) Ho: &#956; = 12.4, Ha: &#956;  12.4; x = 10, &#963; = 5, n = 38 <BR>\n" );
document.write( "(i) Calculate the test statistic z. (Give your answer correct to two decimal places.) <BR>\n" );
document.write( " <BR>\n" );
document.write( " \r<BR>\n" );
document.write( "\n" );
document.write( "(ii) Calculate the p-value. (Give your answer correct to four decimal places.)  </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #727416 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=727416\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Assume that z is the test statistic.<BR>\n" );
document.write( "(a) Ho: &#956; = 22.5, Ha: &#956; > 22.5; x = 24.1, &#963; = 7, n = 23 <BR>\n" );
document.write( "(i) Calculate the test statistic z. (Give your answer correct to two decimal places.) \r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "(ii) Calculate the p-value. (Give your answer correct to four decimal places.) \r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "(b) Ho: &#956; = 200, Ha: &#956; < 200; x = 193, &#963; = 38, n = 36 <BR>\n" );
document.write( "(i) Calculate the test statistic z. (Give your answer correct to two decimal places.)<BR>\n" );
document.write( "z(193) = (193-200)/(38/sqrt(36)) = -1.0526<BR>\n" );
document.write( "-------------------------<BR>\n" );
document.write( "(ii) Calculate the p-value. (Give your answer correct to four decimal places.) <BR>\n" );
document.write( "p-value = P(z < -1.0526) = normalcdf(-100,-1.0526) = 0.135<BR>\n" );
document.write( "-----------<BR>\n" );
document.write( "Use the same procedure on the following problem.<BR>\n" );
document.write( "Cheers,<BR>\n" );
document.write( "Stan H.<BR>\n" );
document.write( "--------------\r<BR>\n" );
document.write( "\n" );
document.write( "(c) Ho: &#956; = 12.4, Ha: &#956; 12.4; x = 10, &#963; = 5, n = 38 <BR>\n" );
document.write( "(i) Calculate the test statistic z. (Give your answer correct to two decimal places.) \r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "(ii) Calculate the p-value. (Give your answer correct to four decimal places.) <BR>\n" );
document.write( " </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );