document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=192454>Question 192454</A>: <I><SPAN STYLE=\"word-break: break-all;\"> A chocolate company uses machines to package candies, the packages are labeled as 8 ounces, the company wants packages to contain 8.17 ounces so that virtually none of the packages contain less than 8oz. A sample of 50 packages is selected and the packing is stopped is there is evidence that the mean amount is different from 8.17oz. Suppose that the mean amount dispensed in a sample of 50 packages is 8.159oz with a sample standard deviation of 0.051oz. <BR>\n" );
document.write( "A. Is there evidence that the population mean amount is different from 8.17oz? (use a 0.05 level of significance)<BR>\n" );
document.write( "B. Compute the p-value and interpret its meaning. </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #144495 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=144495\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> A chocolate company uses machines to package candies, the packages are labeled as 8 ounces, the company wants packages to contain 8.17 ounces so that virtually none of the packages contain less than 8oz. A sample of 50 packages is selected and the packing is stopped is there is evidence that the mean amount is different from 8.17oz. Suppose that the mean amount dispensed in a sample of 50 packages is 8.159oz with a sample standard deviation of 0.051oz. <BR>\n" );
document.write( "A. Is there evidence that the population mean amount is different from 8.17oz? (use a 0.05 level of significance)<BR>\n" );
document.write( "Ho: u >= 8.17<BR>\n" );
document.write( "Ha: u < 8.17 <BR>\n" );
document.write( "B. Compute the p-value and interpret its meaning.<BR>\n" );
document.write( "I ran a T-test and got the following results:<BR>\n" );
document.write( "test statistic: t = -1.52513...<BR>\n" );
document.write( "p-value: = P(t < -1.52513) = 0.0668...<BR>\n" );
document.write( "---------------<BR>\n" );
document.write( "Since the p-value is greater than 5%, fail to reject Ho.<BR>\n" );
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document.write( "Cheers,<BR>\n" );
document.write( "Stan H.<BR>\n" );
document.write( " </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );