document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=259927>Question 259927</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Hello Again,\r<BR>\n" );
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document.write( "I had already sent this question and got part of the answer but I had forgot to send the second part, and I think that I figured out the second part but not for sure I may be wrong.\r<BR>\n" );
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document.write( "Question:\r<BR>\n" );
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document.write( "2.Use the method specified to perform the hypothesis test for the population <BR>\n" );
document.write( "mean &#61549;. A local brewery distributes beer in bottles labeled 32 ounces. A government agency thinks that the brewery is cheating its customers. The agency select 50 of these bottles, measures their contents, and obtains a sample mean of 31.6 ounces with a population standard deviation of 0.70 ounce. At  &#61537;- this symbol means the level of significance alpha = 0.01, test the agency’s claim that the brewery is cheating its customers\r<BR>\n" );
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document.write( "b.	Use the P-value method. \r<BR>\n" );
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document.write( "1.	H0 : u=32<BR>\n" );
document.write( "Ha : <BR>\n" );
document.write( "2.	&#61537; = u is greater than 32<BR>\n" );
document.write( "3.	Test statistics: 31.6-32/0.7/square root 50=4.0406<BR>\n" );
document.write( "4.	P-value or critical z0 or t0.  df (-100 -4.0406.49) =0.0009379<BR>\n" );
document.write( "5.	Rejection Region: <BR>\n" );
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document.write( "6.	Decision: <BR>\n" );
document.write( "7.	Interpretation:  \r<BR>\n" );
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document.write( "I am going based on from what I had gotten help on the first part of the question, and also I based it on the formula used in the book.<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 #191424 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=191424\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> 2.Use the method specified to perform the hypothesis test for the population <BR>\n" );
document.write( "mean &#61549;. A local brewery distributes beer in bottles labeled 32 ounces. A government agency thinks that the brewery is cheating its customers. The agency select 50 of these bottles, measures their contents, and obtains a sample mean of 31.6 ounces with a population standard deviation of 0.70 ounce. At &#61537;- this symbol means the level of significance alpha = 0.01, test the agency’s claim that the brewery is cheating its customers <BR>\n" );
document.write( "b. Use the P-value method. <BR>\n" );
document.write( "1. <BR>\n" );
document.write( "Ho : u=32<BR>\n" );
document.write( "Ha : u < 32 (because the problem claims there is cheating which is less than 32)<BR>\n" );
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document.write( "2. &#61537; = 1%<BR>\n" );
document.write( "3. Test statistics:<BR>\n" );
document.write( "t(31.6) =  (31.6-32)/[0.7/square root(50) = -4.0406<BR>\n" );
document.write( "4. P-value or critical z0 or t0. df (-100 -4.0406.49) = 0.00009379<BR>\n" );
document.write( "Note: I changed your p-value: It should be 9.378x10^-5 = 0.00009379<BR>\n" );
document.write( "5. Rejection Region:<BR>\n" );
document.write( "For a left tail test with alpha = 1% and df=49 the<BR>\n" );
document.write( "rejection Region is t< invT(0.01,49) = -2.4049<BR>\n" );
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document.write( "6. Decision: Since p < 1%, reject Ho.<BR>\n" );
document.write( "7. Interpretation: <BR>\n" );
document.write( "The test results support rejecting the manufacturer's claim <BR>\n" );
document.write( "and provides strong evidence that the brewery is cheating.<BR>\n" );
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document.write( "Cheers,<BR>\n" );
document.write( "Stan H. <BR>\n" );
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