document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=975679>Question 975679</A>: <I><SPAN STYLE=\"word-break: break-all;\"> A normally distributed population with 200 elements has a mean of 60 and a standard deviation of 10. The probability that the mean of a sample of 25 elements taken from this population will be smaller than 56 is:<BR>\n" );
document.write( "Select one:<BR>\n" );
document.write( "a. 0.0166. Incorrect<BR>\n" );
document.write( "b. 0.0228.<BR>\n" );
document.write( "c. 0.3708.<BR>\n" );
document.write( "d. 0.0394.<BR>\n" );
document.write( " </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #597376 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=597376\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\">  A normally distributed population with 200 elements has a mean of 60 and a standard deviation of 10. The probability that the mean of a sample of 25 elements taken from this population will be smaller than 56 is:<BR>\n" );
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document.write( "z(56) = (56-60)/[10/sqrt(25)] = -4/2 = -2<BR>\n" );
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document.write( "P(x-bar < 56) = P(z < -2) = normalcdf(-100,-2) = 0.0228<BR>\n" );
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document.write( "Cheers,<BR>\n" );
document.write( "Stan H.<BR>\n" );
document.write( "-------------------<BR>\n" );
document.write( "Select one:<BR>\n" );
document.write( "a. 0.0166. <BR>\n" );
document.write( "b. 0.0228.<BR>\n" );
document.write( "c. 0.3708.<BR>\n" );
document.write( "d. 0.0394.<BR>\n" );
document.write( " </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );