document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=542551>Question 542551</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Bottles of a popular cola are supposed to contain 300ml of cola. There is some variation from to bottle to bottle because the filling machinery is not perfectly precise. The distribution of the contents is normal with standard deviation of Q=3 ml. An inspector who suspects that the bottler is underfilling measures the contents of six bottles. The results are <BR>\n" );
document.write( "299.4  297.7  301.0<BR>\n" );
document.write( "298.9  300.2  297.0\r<BR>\n" );
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document.write( "Is this convincing evidence that the mean contents of cola bottles is less than the advertised 300 ml? perform a significance test at the Q= .05level.\r<BR>\n" );
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document.write( "Z=(300-299.03)/3/6= .79 Please help<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 #354644 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=354644\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Bottles of a popular cola are supposed to contain 300ml of cola. There is some variation from to bottle to bottle because the filling machinery is not perfectly precise. The distribution of the contents is normal with standard deviation of Q=3 ml. An inspector who suspects that the bottler is underfilling measures the contents of six bottles. The results are <BR>\n" );
document.write( "299.4 297.7 301.0<BR>\n" );
document.write( "298.9 300.2 297.0<BR>\n" );
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document.write( "sample mean = x-bar = 299.03 <BR>\n" );
document.write( "Is this convincing evidence that the mean contents of cola bottles is less than the advertised 300 ml? perform a significance test at the Q= .05level.<BR>\n" );
document.write( "Ho: u >= 300<BR>\n" );
document.write( "Ha: u < 300 (claim)<BR>\n" );
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document.write( "test statistic: t(299.03) = (299.03-300)/[1.5/sqrt(6)] = -1.5840<BR>\n" );
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document.write( "p-value = P(t < -1.5840 when df = 5) = 0.0870<BR>\n" );
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document.write( "Conclusion:<BR>\n" );
document.write( "Since the p-value is greater than 5% fail to reject Ho.<BR>\n" );
document.write( "The test results do not support the claim.<BR>\n" );
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document.write( "Cheers,<BR>\n" );
document.write( "Stan H.<BR>\n" );
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