document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1062011>Question 1062011</A>: <I><SPAN STYLE=\"word-break: break-all;\"> At the time she was hired as a server at the Grumney Family Restaurant, Beth Brigden was told, “You can average $80 a day in tips.” Assume the population of daily tips is normally distributed with a standard deviation of $2.81. Over the first 42 days she was employed at the restaurant, the mean daily amount of her tips was $82.74. At the 0.10 significance level, can Ms. Brigden conclude that her daily tips average more than $80?<BR>\n" );
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document.write( "a.	State the null hypothesis and the alternate hypothesis.<BR>\n" );
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document.write( "	H0: &#956; &#8805; 80 ; H1: &#956; < 80<BR>\n" );
document.write( "	H0: &#956; = 80 ; H1: &#956; &#8800; 80<BR>\n" );
document.write( "	H0: &#956; >80 ; H1: &#956; = 80<BR>\n" );
document.write( "	H0: &#956; &#8804; 80 ; H1: &#956; > 80<BR>\n" );
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document.write( "b.	State the decision rule.<BR>\n" );
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document.write( "	Reject H1 if z > 1.28<BR>\n" );
document.write( "	Reject H0 if z < 1.28<BR>\n" );
document.write( "	Reject H0 if z > 1.28<BR>\n" );
document.write( "	Reject H1 if z < 1.28<BR>\n" );
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document.write( "c.	Compute the value of the test statistic. (Round your answer to 2 decimal places.)<BR>\n" );
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document.write( "  Value of the test statistic	<BR>\n" );
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document.write( "d.	What is your decision regarding H0?<BR>\n" );
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document.write( "	Do not reject H0<BR>\n" );
document.write( "	Reject H0<BR>\n" );
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document.write( "e.	What is the p-value? (Round your answer to 4 decimal places.)<BR>\n" );
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document.write( "  p-value	<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 #676863 by </B><A HREF=/tutors/aboutme.mpl?userid=Boreal><B>Boreal(15235)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=Boreal><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/cgi-bin/show-face.mpl?user=Boreal><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=676863\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> It's mu=80 vs. mu NE 80.  \"You can average $80/day in tips.\"  That means it could be on either side or a two way test.\r<BR>\n" );
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document.write( "For the next part, reject Ho if |z|>1.28.  That isn't one of the choices, so I would say reject Ho if z>1.28.<BR>\n" );
document.write( "The test statistic is z=(82.74-80)/2.81/sqrt (42).<BR>\n" );
document.write( "That is 2.74*sqrt(42)/2.81=6.32.  Reject Ho.<BR>\n" );
document.write( "This is highly significant at < 0.0001 level </SPAN>\n" );
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