document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=930271>Question 930271</A>: <I><SPAN STYLE=\"word-break: break-all;\"> A random sample of 16 female college-aged dancers showed a sample mean height 64.8 of inches and a sample standard deviation of 1.7 inches. \r<BR>\n" );
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document.write( "1.Find a 95% confidence interval for the population mean height of dancers and interpret the interval. \r<BR>\n" );
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document.write( "2. Find a 99% confidence interval for the population mean height and interpret the interval. \r<BR>\n" );
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document.write( "3. Which interval is wider and why? \r<BR>\n" );
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document.write( "Thank you!! </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #564865 by </B><A HREF=/tutors/aboutme.mpl?userid=ewatrrr><B>ewatrrr(24785)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=ewatrrr><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/cgi-bin/show-face.mpl?user=ewatrrr><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=564865\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Sample: n = 16, mean= 64.8 , sd = 1.7<BR>\n" );
document.write( "ME = 1.96(1.7/sqrt(16) = .8  (64, 65.6)<BR>\n" );
document.write( "ME = 2.576(1.7/sqrt(16) = 1  (63. 65.8) ***wider<BR>\n" );
document.write( "Including 99% rather than just 95%<BR>\n" );
document.write( ".........<BR>\n" );
document.write( "for Your reference:<BR>\n" );
document.write( "CI	<BR>\n" );
document.write( "90%	z =1.645<BR>\n" );
document.write( "92%	z = 1.751<BR>\n" );
document.write( "95%	z = 1.96<BR>\n" );
document.write( "98%	z = 2.326<BR>\n" );
document.write( "99%	z = 2.576<BR>\n" );
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