document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1178240>Question 1178240</A>: <I><SPAN STYLE=\"word-break: break-all;\"> A sample of size 42 will be drawn from a population with mean 52 and standard deviation 9.\r<BR>\n" );
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document.write( "a.\r<BR>\n" );
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document.write( "Is it appropriate to use the normal distribution to find probabilities for x bar ?\r<BR>\n" );
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document.write( "b.\r<BR>\n" );
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document.write( "If appropriate find the probability that x bar will be between 53 and 54.\r<BR>\n" );
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document.write( "c.\r<BR>\n" );
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document.write( "If appropriate find the 45th percentile of x bar. </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #807573 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=807573\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Normal Distribution: n = 42  > 30 ,  μ = 52      σ =9 <BR>\n" );
document.write( "Using TI or similarly an inexpensive calculator like a Casio fx-115 ES plus<BR>\n" );
document.write( "b.  P(53 < x < 54) = normalcdf(53,54, 52, 9/√42) = .1608 </SPAN>\n" );
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