document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=150654>Question 150654</A>: <I><SPAN STYLE=\"word-break: break-all;\"> A manufacturer wants to increase the absorption capacity of a sponge. Based on past data, the average sponge could absorb 3.5 ounces. After the redesign, the absorption amounts of a sample of sponges were (in ounces): 4.1, 3.7, 3.3, 3.5, 3.8, 3.9, 3.6, 3.8, 4.0, and 3.9. What is the decision rule at the 0.01 level of significance to test if the new design increased the absorption amount of the sponge?  </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #110593 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=110593\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> A manufacturer wants to increase the absorption capacity of a sponge.<BR>\n" );
document.write( "Based on past data, the average sponge could absorb 3.5 ounces. <BR>\n" );
document.write( "After the redesign, the absorption amounts of a sample of sponges were (in ounces): 4.1, 3.7, 3.3, 3.5, 3.8, 3.9, 3.6, 3.8, 4.0, and 3.9. <BR>\n" );
document.write( "What is the decision rule at the 0.01 level of significance to test if the new design increased the absorption amount of the sponge? <BR>\n" );
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document.write( "Ho: u = 3.5<BR>\n" );
document.write( "Ha: u > 3.5<BR>\n" );
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document.write( "x-bar of the data = 3.76<BR>\n" );
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document.write( "Comment: The decision rule depends on whether you use a \"t\" or<BR>\n" );
document.write( "a \"z\" critical value.<BR>\n" );
document.write( "If \"t\" the decision rule is \"reject Ho if t is above 2.821\".<BR>\n" );
document.write( "If \"z\" the decision rule is \"reject Ho if z is above 2.326\".<BR>\n" );
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document.write( "Cheers,<BR>\n" );
document.write( "Stan H.<BR>\n" );
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