document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=179243>Question 179243</A>: <I><SPAN STYLE=\"word-break: break-all;\"> When a 1/2 liter bottle of a liquid drink is supposed to contain a mean of 520 ml and it has a known process standard deviation of 4 ml, which sampling distribution would be used if random samples of 10 bottles are to be weighed? and Why?  How do I set up a hypothesis and a two-tailed decision rule for the correct mean using the 5% level of signifance?  Also when the sample of 16 bottles shows a mean fill of 515 ml does this contradict the hypothesis that the true mean is 520 ml? #952 </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #134182 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=134182\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> When a 1/2 liter bottle of a liquid drink is supposed to contain a mean of 520 ml and it has a known process standard deviation of 4 ml, which sampling distribution would be used if random samples of 10 bottles are to be weighed? and Why? <BR>\n" );
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document.write( "Ans: The t-distribution because you are testing a small sample for the validity<BR>\n" );
document.write( "of a population mean.<BR>\n" );
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document.write( "How do I set up a hypothesis and a two-tailed decision rule for the correct mean using the 5% level of signifance?<BR>\n" );
document.write( "Ho: u = 520<BR>\n" );
document.write( "Ha: u is not equal to 520<BR>\n" );
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document.write( "Critical value for 2-tail t-test with alpha=5% and df=9 is +-2.262 <BR>\n" );
document.write( "Rule: If the test statistic if less than -2.262 of greater than 2.262,<BR>\n" );
document.write( "reject Ho.<BR>\n" );
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document.write( "Also when the sample of 16 bottles shows a mean fill of 515 ml does this contradict the hypothesis that the true mean is 520 ml?<BR>\n" );
document.write( "test statistic: t(515) = (515-520)/[4/sqrt(16)] = -5<BR>\n" );
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document.write( "Conclusion: Since -5 is less than -2.262, reject Ho.<BR>\n" );
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document.write( "Cheers,<BR>\n" );
document.write( "Stan H.  </SPAN>\n" );
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