document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=126542>Question 126542</A>: <I><SPAN STYLE=\"word-break: break-all;\"> The fill amount of bottles of soft drink has been found to be normally distributed with a mean of 2.0 liters and a standard deviation of 0.05 liters. If random sample of bottles is selected, what is the probability that the sample mean will be between 1.99 and 2.0 liters: </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #92716 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=92716\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> The fill amount of bottles of soft drink has been found to be normally distributed with a mean of 2.0 liters and a standard deviation of 0.05 liters. If random sample of bottles is selected, what is the probability that the sample mean will be between 1.99 and 2.0 liters:<BR>\n" );
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document.write( "Find the t-scores of 1.99 and 2.0<BR>\n" );
document.write( "t(1.99) = (1.99-2) / 0.05 = -0.01 / 0.05 = -0.2<BR>\n" );
document.write( "t(2) = (2-2)/0.05 = 0<BR>\n" );
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document.write( "P(1.99 < x-bar < 2.00) = P (-0.2 < t < 0) = 0.079057<BR>\n" );
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document.write( "Cheers,<BR>\n" );
document.write( "Stan H. </SPAN>\n" );
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