document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=614519>Question 614519</A>: <I><SPAN STYLE=\"word-break: break-all;\"> A restaurant association says the typical household spends a mean of $3568 per year on food away from home. You randomly select 12 households and find out how much each spent on food away from home per year. Can you reject the restaurant association's claim at alpha=0.05? <BR>\n" );
document.write( "3455  3635  3441  3006  3372  4295  3406  1997  4381  3381  3769  2879\r<BR>\n" );
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document.write( "Ho: mu=3568 (claim)<BR>\n" );
document.write( "Ha: mu=(with line through the = sign)3568\r<BR>\n" );
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document.write( "a) Find 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 #386606 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=386606\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> A restaurant association says the typical household spends a mean of $3568 per year on food away from home. You randomly select 12 households and find out how much each spent on food away from home per year. Can you reject the restaurant association's claim at alpha=0.05? <BR>\n" );
document.write( "3455 3635 3441 3006 3372 4295 3406 1997 4381 3381 3769 2879 <BR>\n" );
document.write( "Ho: mu=3568 (claim)<BR>\n" );
document.write( "Ha: mu=(with line through the = sign)3568<BR>\n" );
document.write( "x-bar = 3418<BR>\n" );
document.write( "s = 628.98<BR>\n" );
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document.write( "t(3418) = (3418-3568)/628.98 = -0.2385<BR>\n" );
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document.write( "a) Find the P-value<BR>\n" );
document.write( "p-value = 2*tcdf(-100,-0.2385,11) = 0.8159\r<BR>\n" );
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document.write( "Since the p-value is greater than 5%, fail to reject Ho.<BR>\n" );
document.write( "The test results support the claim.\r<BR>\n" );
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document.write( "Cheers,<BR>\n" );
document.write( "Stan H.<BR>\n" );
document.write( "===============<BR>\n" );
document.write( " </SPAN>\n" );
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