document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=672937>Question 672937</A>: <I><SPAN STYLE=\"word-break: break-all;\"> A sample of 95 golfers showed that their average score on a particular golf course was 84.37 with a standard deviation of 6.31.  <BR>\n" );
document.write( "Answer each of the following (show all work<BR>\n" );
document.write( "and state the final answer to at least two decimal places.):<BR>\n" );
document.write( "(A) Find the 99% confidence interval of the mean score for all 95 golfers.<BR>\n" );
document.write( "(B) Find the 99% confidence interval of the mean score for all golfers if this is a sample of 145 golfers instead of a sample of 95.<BR>\n" );
document.write( "(C) Which confidence interval is smaller and why? </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #418406 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=418406\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> A sample of 95 golfers showed that their average score on a particular golf course was 84.37 with a standard deviation of 6.31. <BR>\n" );
document.write( "Answer each of the following (show all work<BR>\n" );
document.write( "and state the final answer to at least two decimal places.):<BR>\n" );
document.write( "(A) Find the 99% confidence interval of the mean score for all 95 golfers.<BR>\n" );
document.write( "ME = z*s/sqrt(n) = 2.5758*6.31/sqrt(95) = 1.668<BR>\n" );
document.write( "x-bar = 84.37<BR>\n" );
document.write( "----<BR>\n" );
document.write( "99% CI:84.37-1.668 < u < 84.37+1.668<BR>\n" );
document.write( "-----------------------------------<BR>\n" );
document.write( "(B) Find the 99% confidence interval of the mean score for all golfers if this is a sample of 145 golfers instead of a sample of 95.<BR>\n" );
document.write( "ME = 2.5758*6.31/sqrt(145) = 1.350<BR>\n" );
document.write( "----<BR>\n" );
document.write( "99% CI: 84.37-1.35 < u < 84.37+1.35<BR>\n" );
document.write( "-------------<BR>\n" );
document.write( "(C) Which confidence interval is smaller and why?<BR>\n" );
document.write( "ALL CI's have a width of 2*ME.  When sample size is 145 ME is smaller<BR>\n" );
document.write( "than when sample size is 95.  The \"B-CI\" is smaller than the \"A-CI\".<BR>\n" );
document.write( "======================<BR>\n" );
document.write( "Cheers,<BR>\n" );
document.write( "Stan H.\r<BR>\n" );
document.write( "\n" );
document.write( " </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );