document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=988567>Question 988567</A>: <I><SPAN STYLE=\"word-break: break-all;\"> The fill amount of bottles of soft drink is normally distributed with a mean of 2.0 litres and a standard deviation of 0.05 litres. If you select a random sample of 25 bottles, what is the probability that the sample mean will be:\r<BR>\n" );
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document.write( "below 1.98 litres? </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #609288 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=609288\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> The fill amount of bottles of soft drink is normally distributed with a mean of 2.0 litres and a standard deviation of 0.05 litres. If you select a random sample of 25 bottles, what is the probability that the sample mean will be: <BR>\n" );
document.write( "below 1.98 litres?<BR>\n" );
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document.write( "z(1.98) = (1.98-2)/[0.05/sqrt(25)] = -0.02/(0.05/5) = -0.02/0.01 = -2<BR>\n" );
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document.write( "P(x-bar < 1.98) = 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" );
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