document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=598411>Question 598411</A>: <I><SPAN STYLE=\"word-break: break-all;\"> 1. Data was collected from 74 mature great white sharks and they had a mean of 13.8 feet and a standard deviation of 2.7 feet. Furthermore, 23 0f those sharks were over 16 feet long. <BR>\n" );
document.write( "  a. can you say at the .01 significance length that average length of a mature great white shark is less than 15 feet? </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #378565 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=378565\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Data was collected from 74 mature great white sharks and they had a mean of 13.8 feet and a standard deviation of 2.7 feet. Furthermore, 23 0f those sharks were over 16 feet long. <BR>\n" );
document.write( "a. can you say at the .01 significance length that average length of a mature great white shark is less than 15 feet?<BR>\n" );
document.write( "-------------------------------<BR>\n" );
document.write( "Ho: u >= 15<BR>\n" );
document.write( "Ha: u < 15 claim<BR>\n" );
document.write( "------<BR>\n" );
document.write( "x-bar = 13.8<BR>\n" );
document.write( "z(13.8) = (13.8-15)/[2.7/sqrt(74)] = -3.8233<BR>\n" );
document.write( "----<BR>\n" );
document.write( "p-value = P(z < -3.8233) = normalcdf(-100,-3.8233) = 0.00006586<BR>\n" );
document.write( "---<BR>\n" );
document.write( "Since the p-value is less than 1%, reject Ho.<BR>\n" );
document.write( "The test results support the claim.<BR>\n" );
document.write( "========================================<BR>\n" );
document.write( "Cheers,<BR>\n" );
document.write( "Stan H.  </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );