document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=909965>Question 909965</A>: <I><SPAN STYLE=\"word-break: break-all;\"> The average grade point average (GPA) of undergraduate students in New York is normally distributed with a population mean of 2.5 and a population standard deviation of 0.4. Compute the following, showing all work:<BR>\n" );
document.write( "1) The percentage of students with GPA's between 2.0 and 2.6<BR>\n" );
document.write( "2) The percentage of students with GPA's below 2.7<BR>\n" );
document.write( "3) Above what GPA will the top 7% of the students be(i.e., compute the 93rd percentile)<BR>\n" );
document.write( "4) If a sample of 49 students is taken, what is the probability that the sample mean GPA will be between 2.60 and 2.70?<BR>\n" );
document.write( " </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #552155 by </B><A HREF=/tutors/aboutme.mpl?userid=ewatrrr><B>ewatrrr(24785)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=ewatrrr><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=ewatrrr><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=552155\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> m = 2.5, sd = .4<BR>\n" );
document.write( "1) normalcdf(2.0,2.6,2.5,.4)<BR>\n" );
document.write( "2) normalcdf(-10,2.7,2.5,.4)<BR>\n" );
document.write( "3) .4invNorm(.93) + 2.5 = X\r<BR>\n" );
document.write( "\n" );
document.write( "4 t1 = (.1/(.4/sqrt(49)) and t2 = (.2/(.4/sqrt(49))<BR>\n" );
document.write( " P(t2< value) - P(t1< value)<BR>\n" );
document.write( "Use df = 48<BR>\n" );
document.write( "tcdf(-100,3.5 , 48) - tcdf(-100,1.75 , 48)  </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );