document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=647891>Question 647891</A>: <I><SPAN STYLE=\"word-break: break-all;\"> The heights of 18-year-old men are approximately normally distributed with mean 68 inches and standard deviation 3 inches. What is the probability that the average height of a sample of ten 18-year-old men will be between 69 and 71 inches?<BR>\n" );
document.write( "Answer<BR>\n" );
document.write( "	a. 0.8539<BR>\n" );
document.write( "	b. 0.2922<BR>\n" );
document.write( "	c. 0.3539<BR>\n" );
document.write( "	d. 0.1461<BR>\n" );
document.write( "	e. 0.1611\r<BR>\n" );
document.write( "\n" );
document.write( "If you could please show me how to solve this problem. </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #406464 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=406464\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> The heights of 18-year-old men are approximately normally distributed with mean 68 inches and standard deviation 3 inches. What is the probability that the average height of a sample of ten 18-year-old men will be between 69 and 71 inches?<BR>\n" );
document.write( "-------<BR>\n" );
document.write( "Note: The mean of the sample means is 68<BR>\n" );
document.write( "The standard deviation of the sample means is 3/sqrt(10)<BR>\n" );
document.write( "----<BR>\n" );
document.write( "z(69) = (69-68)/(3/sqrt(10)) = 1.0541<BR>\n" );
document.write( "z(71) = (71-68)/(3/sqrt(10)) = 3.1623<BR>\n" );
document.write( "---------------------------<BR>\n" );
document.write( "P(69 < x-bar < 71) = P(1.0541 < z < 3.1623) = 0.1451<BR>\n" );
document.write( "===================<BR>\n" );
document.write( "Cheers,<BR>\n" );
document.write( "Stan H.<BR>\n" );
document.write( "===================<BR>\n" );
document.write( "Answer<BR>\n" );
document.write( "a. 0.8539<BR>\n" );
document.write( "b. 0.2922<BR>\n" );
document.write( "c. 0.3539<BR>\n" );
document.write( "d. 0.1461<BR>\n" );
document.write( "e. 0.1611 <BR>\n" );
document.write( " </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );