document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=873045>Question 873045</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Consider the hypothesis test given by <BR>\n" );
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document.write( "H0 :µ= 530 <BR>\n" );
document.write( "H1:µ< 530\r<BR>\n" );
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document.write( "In a random sample of 225 subjects, the sample mean is found to be <BR>\n" );
document.write( "xbar 525 . Also, the population standard deviation is ( 25 ). <BR>\n" );
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document.write( "(a) Determine the test statistic. Show all work; writing the correct test statistic, without supporting work, will receive no credit. \r<BR>\n" );
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document.write( "(b) Determine the P-value for this test. Show all work; writing the correct P-value, without supporting work, will receive no credit. \r<BR>\n" );
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document.write( "(c) Is there sufficient evidence to justify the rejection of <BR>\n" );
document.write( "H0 at the (alfa 0.01) level? Explain </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #526615 by </B><A HREF=/tutors/aboutme.mpl?userid=reviewermath><B>reviewermath(1029)</B></A><img src=\"/images/stars/stars-12.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=reviewermath><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=reviewermath><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=526615\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> H0 :µ= 530 <BR>\n" );
document.write( "H1:µ< 530 \r<BR>\n" );
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document.write( "In a random sample of 225 subjects, the sample mean is found to be <BR>\n" );
document.write( "xbar 525 . Also, the population standard deviation is ( 25 ). \r<BR>\n" );
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document.write( "(a) Determine the test statistic. Show all work; writing the correct test statistic, without supporting work, will receive no credit. \r<BR>\n" );
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document.write( "The test statistic is =(525-530)/(25/SQRT(225)) = <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=highlight%28-3%29 ALIGN=MIDDLE  ALT=\"highlight%28-3%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "(b) Determine the P-value for this test. Show all work; writing the correct P-value, without supporting work, will receive no credit. \r<BR>\n" );
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document.write( "To get the P-value, enter the following formula in Excel:<BR>\n" );
document.write( "=NORMSDIST(-3)<BR>\n" );
document.write( "The answer is <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=highlight%280.0013%29 ALIGN=MIDDLE  ALT=\"highlight%280.0013%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "(c) Is there sufficient evidence to justify the rejection of <BR>\n" );
document.write( "H0 at the (alpha 0.01) level? Explain\r<BR>\n" );
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document.write( "Answer: Since the p-value is less than alpha level, there is sufficient evidence to justify the rejection of <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;\" >.<BR>\n" );
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