document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=434444>Question 434444</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Dole Pineapple, Inc., is concerned that the 16-ounce can of sliced pineapple is being overfilled. Assume the standard deviation of the process is .03 ounces. The quality-control department took a random sample of 50 cans and found that the arithmetic mean weight was 16.05 ounces. At the 5 percent level of significane, can we conclude that the mean weight is greater than 16 ounces? Determine the p-value. </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #300988 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=300988\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\">  Dole Pineapple, Inc., is concerned that the 16-ounce can of sliced pineapple is being overfilled. Assume the standard deviation of the process is .03 ounces. The quality-control department took a random sample of 50 cans and found that the arithmetic mean weight was 16.05 ounces. At the 5 percent level of significane, can we conclude that the mean weight is greater than 16 ounces? Determine the p-value.<BR>\n" );
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document.write( "Ho: u = 16<BR>\n" );
document.write( "Ha: u > 16 (claim)<BR>\n" );
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document.write( "t(16.05) = (16.05-16)/[0.03/sqrt(50)] = 11.78<BR>\n" );
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document.write( "p-value = P(t > 11.78 when df=49) = 3.277x10^-16<BR>\n" );
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document.write( "Conclusion: Since the p-value is less that 5%, reject Ho.<BR>\n" );
document.write( "Test results support the claim.<BR>\n" );
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document.write( "Cheers,<BR>\n" );
document.write( "Stan H.<BR>\n" );
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document.write( " </SPAN>\n" );
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