document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=449735>Question 449735</A>: <I><SPAN STYLE=\"word-break: break-all;\"> The scores on a certain test are normally distributed with a mean score of 43 and a<BR>\n" );
document.write( "standard deviation of 3. What is the probability that a sample of 90 students will have a<BR>\n" );
document.write( "mean score of at least 43.3162?<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 #309344 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=309344\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> The scores on a certain test are normally distributed with a mean score of 43 and a standard deviation of 3. What is the probability that a sample of 90 students will have a mean score of at least 43.3162?<BR>\n" );
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document.write( "t(43.3162) = (43.3162-43)/[3/sqrt(90)]<BR>\n" );
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document.write( "= (0.3162)/[0.3162] = 1<BR>\n" );
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document.write( "P(x-bar >= 43.3162) = P(t > 1 when df = 89) = 0.1600<BR>\n" );
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document.write( "Cheers,<BR>\n" );
document.write( "Stan H.<BR>\n" );
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