document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=664955>Question 664955</A>: <I><SPAN STYLE=\"word-break: break-all;\"> The mean age at which men in the U.S. marry for the first time follows the normal distribution with a mean of 24.8 years. The standard deviation of the distribution is 2.5 years. For a random sample of 60 men, what is the likelihood that the age at which they were married for the first time is less than 25.1 years?\r<BR>\n" );
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document.write( "This is just one sample problem for my homework. I cannot seem to understand the process to answering these questions. Please show all formulas and calculations so that I can learn from this </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #413648 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=413648\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> The mean age at which men in the U.S. marry for the first time follows the normal distribution with a mean of 24.8 years. The standard deviation of the distribution is 2.5 years. For a random sample of 60 men, what is the likelihood that the age at which they were married for the first time is less than 25.1 years? <BR>\n" );
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document.write( "t(25.1) = (25.1-24.8)/[2.5/sqrt(60)] = 0.9295<BR>\n" );
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document.write( "P(x-bar < 25.1) = P(t < 0.9295 when df = 59) = tcdf(-100,0.9295,59) = 0.8218<BR>\n" );
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document.write( "Cheers,<BR>\n" );
document.write( "Stan H. </SPAN>\n" );
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