document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1042849>Question 1042849</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Please help me solve this problem..\r<BR>\n" );
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document.write( "A sample of 32 observations is selected from a normal population. The sample mean is 32, and the population standard deviation is 6. Conduct the following test of hypothesis using the 0.05 significance level.<BR>\n" );
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document.write( "H0 : &#956; &#8804; 29 <BR>\n" );
document.write( "H1 : &#956; > 29 \r<BR>\n" );
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document.write( "a. Is this a one- or two-tailed test? <BR>\n" );
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document.write( " \"One-tailed\"-the alternate hypothesis is greater than direction. <BR>\n" );
document.write( " \"Two-tailed\"-the alternate hypothesis is different from direction. <BR>\n" );
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document.write( "b. What is the decision rule? (Round your answer to 3 decimal places.) \r<BR>\n" );
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document.write( "  (Click to select)RejectDo not reject H0, when z >  \r<BR>\n" );
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document.write( "c. What is the value of the test statistic? (Round your answer to 2 decimal places.) \r<BR>\n" );
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document.write( "  Value of the test statistic    \r<BR>\n" );
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document.write( "d. What is your decision regarding H0? <BR>\n" );
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document.write( " Reject <BR>\n" );
document.write( " Do not reject <BR>\n" );
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document.write( "There is (Click to select)insufficientsufficient evidence to conclude that the population mean is greater than 29. \r<BR>\n" );
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document.write( "e. What is the p-value? (Round your answer to 4 decimal places.) \r<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 #657986 by </B><A HREF=/tutors/aboutme.mpl?userid=rothauserc><B>rothauserc(4718)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=rothauserc><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=rothauserc><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=657986\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> a) this is a one-tailed test since H1 does not contain = sign<BR>\n" );
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document.write( "b) At a 5% significance level, the critical value for a one tailed test is found from the table of z-scores to be 1.645<BR>\n" );
document.write( "Reject when z > 1.645<BR>\n" );
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document.write( "c) standard error of the mean (SE) = population standard deviation / square root(sample size)<BR>\n" );
document.write( "SE = 6 / square root(32) approx 1.061<BR>\n" );
document.write( "z value = (32 - 29) / 1.061 approx 2.83<BR>\n" );
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document.write( "d) reject H0 since 2.83 > 1.645<BR>\n" );
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document.write( "e) a z-score of 2.83 has a p-value of 0.0026<BR>\n" );
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