document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1117999>Question 1117999</A>: <I><SPAN STYLE=\"word-break: break-all;\"> The mean height of women in a country&#8203; (ages 20minus&#8203;29) is 63.6 inches. A random sample of 75 women in this age group is selected. What is the probability that the mean height for the sample is greater than 64 &#8203;inches? Assume sigmaequals2.98.<BR>\n" );
document.write( "The probability that the mean height for the sample is greater than 64 inches is? </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #733247 by </B><A HREF=/tutors/aboutme.mpl?userid=Boreal><B>Boreal(15235)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=Boreal><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=Boreal><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=733247\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Assuming we know sigma, this is a z-test<BR>\n" );
document.write( "z(x-xbar)/sigma/sqrt(n)<BR>\n" );
document.write( "z=(64-63.6)/2.98/sqrt(75)<BR>\n" );
document.write( "This is 0.4*sqrt(75)/2.98=1.16<BR>\n" );
document.write( "That probability is 0.1230 </SPAN>\n" );
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