document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=786427>Question 786427</A>: <I><SPAN STYLE=\"word-break: break-all;\"> A bank's loan officer rates applicants for credit approval. The ratings are normally distributed with a mean of 200 and a standard deviation of 50. If 40 different applicants are randomly selected, what is the chance that the mean rating will be above 215?<BR>\n" );
document.write( "A) 2.87%<BR>\n" );
document.write( "B) 47.13%<BR>\n" );
document.write( "C) 11.79%<BR>\n" );
document.write( "D) 38.21% </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #477886 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=477886\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> A bank's loan officer rates applicants for credit approval. The ratings are normally distributed with a mean of 200 and a standard deviation of 50. If 40 different applicants are randomly selected, what is the chance that the mean rating will be above 215?<BR>\n" );
document.write( "z(215) = (215-200)/[50/sqrt(40)] = 1.8974<BR>\n" );
document.write( "P(x-bar > 215) = P(z > 1.8974) = normalcdf(1.8974,100) = 0.0289<BR>\n" );
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document.write( "Ans: A<BR>\n" );
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document.write( "Cheers,<BR>\n" );
document.write( "Stan H.<BR>\n" );
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document.write( "A) 2.87%<BR>\n" );
document.write( "B) 47.13%<BR>\n" );
document.write( "C) 11.79%<BR>\n" );
document.write( "D) 38.21%<BR>\n" );
document.write( " </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );