document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1198517>Question 1198517</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Scores for a common standardized college aptitude test are normally distributed with a mean of 518 and a standard deviation of 113. Randomly selected students are given a Test Preparation Course before taking this test. Assume, for sake of argument, that the preparation course has no effect. \r<BR>\n" );
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document.write( "If 1 student is randomly selected, find the probability that their score is at least 553.4. <BR>\n" );
document.write( "P(X > 553.4) =  <BR>\n" );
document.write( "Enter your answer as a number accurate to 4 decimal places. \r<BR>\n" );
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document.write( "If 20 students are randomly selected, find the probability that their mean score is at least 553.4. <BR>\n" );
document.write( "P( <BR>\n" );
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document.write( "  > 553.4) =   </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #832135 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=832135\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Using Handheld TI or similarly an inexpensive calculator like an Casio fx-115 ES plus<BR>\n" );
document.write( "P(X > 553.4) = normcdf(553.4, 9999, 518,113) = .3770 (accurate to 4 decimal places)<BR>\n" );
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document.write( "If 20 students are randomly selected, find the probability that their mean score is at least 553.4.<BR>\n" );
document.write( " <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=z%28553.4%29+=blue+%28x+-+mu%29%2Fblue%28sigma%2Fsqrt%28n%29%29 ALIGN=MIDDLE  ALT=\"z%28553.4%29+=blue+%28x+-+mu%29%2Fblue%28sigma%2Fsqrt%28n%29%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > ,  <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=z+=blue+%2835.4%29%2Fblue%28113%2Fsqrt%2820%29%29 ALIGN=MIDDLE  ALT=\"z+=blue+%2835.4%29%2Fblue%28113%2Fsqrt%2820%29%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > = 1.401<BR>\n" );
document.write( "p(z > 1.401, df 19) = 0.0887  (accurate to 4 decimal places) </SPAN>\n" );
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