document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1039619>Question 1039619</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Given the following hypotheses:<BR>\n" );
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document.write( "H0 : &#956; = 400<BR>\n" );
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document.write( "H1 : &#956; &#8800; 400<BR>\n" );
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document.write( "A random sample of 12 observations is selected from a normal population. The sample mean was 407 and the sample standard deviation 6. Using the .01 significance level:<BR>\n" );
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document.write( "a.	<BR>\n" );
document.write( "State the decision rule. (Negative amount should be indicated by a minus sign. Round your answers to 3 decimal places.)<BR>\n" );
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document.write( "  Reject H0 when the test statistic is  the interval (<BR>\n" );
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document.write( "b.	Compute the value of the test statistic. (Round your answer to 3 decimal places.)<BR>\n" );
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document.write( "  Value of the test statistic	<BR>\n" );
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document.write( "c.	What is your decision regarding the null hypothesis?<BR>\n" );
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document.write( "	Do not reject<BR>\n" );
document.write( "	Reject<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 #654754 by </B><A HREF=/tutors/aboutme.mpl?userid=robertb><B>robertb(5830)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=robertb><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=robertb><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=654754\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> a.	<BR>\n" );
document.write( "For a two-tailed test using a 0.01 significance level, the critical t-values (with df = 11) are -3.106 and 3.106.<BR>\n" );
document.write( "Decision rule:  Reject <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=H%5B0%5D ALIGN=MIDDLE  ALT=\"H%5B0%5D\"   DISABLED_style= \"max-width:90%; height:auto;\" > if the test statistic is in the interval (<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=-infinity ALIGN=MIDDLE  ALT=\"-infinity\"   DISABLED_style= \"max-width:90%; height:auto;\" >, -3.106) or (3.106, <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=infinity ALIGN=MIDDLE  ALT=\"infinity\"   DISABLED_style= \"max-width:90%; height:auto;\" >).\r<BR>\n" );
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document.write( "b.  Test statistic.<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=t+=+%28X%5Bs%5D+-400%29%2F%28sigma%2Fsqrt%28n%29%29+=+%28407+-400%29%2F%286%2Fsqrt%2812%29%29+=+%287%2Asqrt%2812%29%29%2F6+=+4.04 ALIGN=MIDDLE   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=X%5Bs%5D ALIGN=MIDDLE  ALT=\"X%5Bs%5D\"   DISABLED_style= \"max-width:90%; height:auto;\" > is the sample mean.\r<BR>\n" );
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document.write( "c.  Since t = 4.04 lies in the interval  (3.106, <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=infinity ALIGN=MIDDLE  ALT=\"infinity\"   DISABLED_style= \"max-width:90%; height:auto;\" >),  reject <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=H%5B0%5D ALIGN=MIDDLE  ALT=\"H%5B0%5D\"   DISABLED_style= \"max-width:90%; height:auto;\" >. </SPAN>\n" );
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