document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1091847>Question 1091847</A>: <I><SPAN STYLE=\"word-break: break-all;\"> The mean age at which men in the United States marry for the first time follows the normal distribution with a mean of 24.7 years. The standard deviation of the distribution is 2.6 years.<BR>\n" );
document.write( " <BR>\n" );
document.write( "For a random sample of 57 men, what is the likelihood that the age at which they were married for the first time is less than 25.2 years? (Round z value to 2 decimal places. Round your answer to 4 decimal places.)<BR>\n" );
document.write( " <BR>\n" );
document.write( "Probability ____? </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #706328 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=706328\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> I am assuming the mean of the random sample, not the number of men in the sample.<BR>\n" );
document.write( "z=(bar-mean)/sigma/sqrt (n)<BR>\n" );
document.write( "z<=(25.2-24.7)/2.6/sqrt (57)<BR>\n" );
document.write( "z<=0.5*sqrt(57)/2.6<BR>\n" );
document.write( "z <=1.452<BR>\n" );
document.write( "probability is 0.9267 </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );