document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=366127>Question 366127</A>: <I><SPAN STYLE=\"word-break: break-all;\"> A sample of 89 golfers showed that their average score on a particular golf course was 90.98 with a standard deviation of 6.47. <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 98% confidence interval of the mean score for all 89 golfers.<BR>\n" );
document.write( "(B) Find the 98% confidence interval of the mean score for all golfers if this is a sample of 135 golfers instead of a sample of 89.<BR>\n" );
document.write( "(C) Which confidence interval is larger 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 #260923 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=260923\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> A sample of 89 golfers showed that their average score on a particular golf course was 90.98 with a standard deviation of 6.47. <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( "-------------------<BR>\n" );
document.write( "x=bar = 90.98\r<BR>\n" );
document.write( "\n" );
document.write( "(A) Find the 98% confidence interval of the mean score for all 89 golfers.<BR>\n" );
document.write( "ME =  2.3263[6.47/sqrt(89)] = 1.5955<BR>\n" );
document.write( "-----<BR>\n" );
document.write( "CI: 90.98-1.5955 < u < 90.98+1.5955<BR>\n" );
document.write( "CI: 89.3845 < u < 92.5755<BR>\n" );
document.write( "=================================\r<BR>\n" );
document.write( "\n" );
document.write( "(B) Find the 98% confidence interval of the mean score for all golfers if this is a sample of 135 golfers instead of a sample of 89.<BR>\n" );
document.write( "ME = 2.3263*6.47/sqrt(135) = 1.2954<BR>\n" );
document.write( "---<BR>\n" );
document.write( "CI: 90.89-1.2954 < u < 90.89+1.2954<BR>\n" );
document.write( "CI: 89.5946 < u < 92.1854<BR>\n" );
document.write( "-----------------------------------------------------<BR>\n" );
document.write( "(C) Which confidence interval is larger and why?<BR>\n" );
document.write( "The width of a CI is always 2*ME<BR>\n" );
document.write( "Since the ME is larger for n = 89, its CI is larger.<BR>\n" );
document.write( "============================<BR>\n" );
document.write( "Cheers,<BR>\n" );
document.write( "Stan H.<BR>\n" );
document.write( " </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );