document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=363926>Question 363926</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Q)Business Week conducted a survey of graduates from 30 top MBA programs.  On the basis of the survey, assume that the mean annual salary for male and female graduates 10 years after graduation is $168,000 and $117,000, respectively.  Assume the standard deviation for the male graduates is $40,000, and for the female graduates it is $25,000.\r<BR>\n" );
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document.write( "1. What is the probability that a simple random sample of 40 male graduates will provide a sample mean within $10,000 of the population mean $168,000?<BR>\n" );
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document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #259591 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=259591\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Q)Business Week conducted a survey of graduates from 30 top MBA programs. On the basis of the survey, assume that the mean annual salary for male and female graduates 10 years after graduation is $168,000 and $117,000, respectively. Assume the standard deviation for the male graduates is $40,000, and for the female graduates it is $25,000. <BR>\n" );
document.write( "1. What is the probability that a simple random sample of 40 male graduates will provide a sample mean within $10,000 of the population mean $168,000?<BR>\n" );
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document.write( "t(158,000) = -10,000/[40000/sqrt(40)] = -1.5811<BR>\n" );
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document.write( "t(178000) = 10000/[40000/sqrt(40)] = +1.5811<BR>\n" );
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document.write( "P|158000< xbar < 178000 = P(-1.5811 < t< 1.5811 when df=39) = 0.8781<BR>\n" );
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document.write( "Cheers,<BR>\n" );
document.write( "Stan H.<BR>\n" );
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