document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=566408>Question 566408</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Assume that a population is normally distributed with a mean of 100 and a standard deviation of 15.  Would it be unusual for the mean of a sample of 3 to be 115 or more? </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #366235 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=366235\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Assume that a population is normally distributed with a mean of 100 and a standard deviation of 15. Would it be unusual for the mean of a sample of 3 to be 115 or more?<BR>\n" );
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document.write( "t(115) = (115-100)/[15/sqrt(3)] = 1.7321<BR>\n" );
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document.write( "P(x-bar >= 115) <BR>\n" );
document.write( "= P(t >= 1.7321 when df = 2) <BR>\n" );
document.write( "= tcdf(1.7321,100,2) <BR>\n" );
document.write( "= 0.1127<BR>\n" );
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document.write( "Cheers,<BR>\n" );
document.write( "Stan H.<BR>\n" );
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