document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1197884>Question 1197884</A>: <I><SPAN STYLE=\"word-break: break-all;\"> 4. scores on an achievement test are known to be normally distributed with a mean of 420 and a standard deviation of 80. a. what is the probability of a score between 400 and 480? b. what is the minimum test score needed in order to be in the top 5 % of all people taking the test? </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #831351 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=831351\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Normal Distribution: µ = 420 and σ = 80  <BR>\n" );
document.write( "Using a hand held TI or similarly an inexpensive calculator like an Casio fx-115 ES plus<BR>\n" );
document.write( "a. P( 400 ≤ x ≤ 480) = normcdf(400,480,420,80) = .3721<BR>\n" );
document.write( "b. Invnorm(.95) = 1.645<BR>\n" );
document.write( " x = 1.645*80 + 420 = 551.6  <BR>\n" );
document.write( "552 the minimum test score needed in order to be in the top 5 % of all people taking the test </SPAN>\n" );
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