document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=328042>Question 328042</A>: <I><SPAN STYLE=\"word-break: break-all;\"> 2.	In 2000, as reported by ACT Research Service, the mean ACT Math score was &#956;=20.7. If ACT Math scores are normally distributed with &#963; = 5, answer the following questions.\r<BR>\n" );
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document.write( "a)	What is the probability that a randomly selected student has an ACT Math score less than18?\r<BR>\n" );
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document.write( "b)	What is the probability that a random sample of 10 ACT test takers had a mean ACT Math score less than 18?\r<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 #234969 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=234969\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> In 2000, as reported by ACT Research Service, the mean ACT Math score was &#956;=20.7. If ACT Math scores are normally distributed with &#963; = 5, answer the following questions. <BR>\n" );
document.write( "a) What is the probability that a randomly selected student has an ACT Math score less than 18? <BR>\n" );
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document.write( "z(18) = (18-20.7)/5 = -0.54<BR>\n" );
document.write( "P(x < 18) = P(z < -0.54) = 0.2946<BR>\n" );
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document.write( "b) What is the probability that a random sample of 10 ACT test takers had a mean ACT Math score less than 18? <BR>\n" );
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document.write( "z(18) = (18-20.7)/[5/sqrt(10)] = -1.7076 = 0.0439<BR>\n" );
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document.write( "Cheers,<BR>\n" );
document.write( "Stan H. </SPAN>\n" );
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