document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=912339>Question 912339</A>: <I><SPAN STYLE=\"word-break: break-all;\"> The scores on a certain test are normally distributed with a mean score of 69 and a standard deviation of 2. What is the probability that a sample of 90 students will have a mean score of at least 69.2108? </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #553775 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=553775\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> <u>normally distributed</u> with a mean score of 69 and a standard deviation of 2<BR>\n" );
document.write( "*Note: <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=z+=blue+%28x+-+mu%29%2Fblue%28sigma%2Fsqrt%28n%29%29 ALIGN=MIDDLE  ALT=\"z+=blue+%28x+-+mu%29%2Fblue%28sigma%2Fsqrt%28n%29%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "z = .2108/(2/sqrt(90)) = 1<BR>\n" );
document.write( "P( x > 69.2108)) = 1 - P(z < 1) = 1 - .8413 </SPAN>\n" );
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