document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=468105>Question 468105</A>: <I><SPAN STYLE=\"word-break: break-all;\">  Using either formulas or software, conduct this hypothesis test at the 5% level of significance.<BR>\n" );
document.write( "H0: &#956; &#8804; 25<BR>\n" );
document.write( "Ha: &#956; > 25\r<BR>\n" );
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document.write( "A sample of size 24 was taken to test this hypothesis. The sample mean was 26.2 and the sample standard deviation was 3.6. \r<BR>\n" );
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document.write( "a.	Is this a z or t test?	_________\r<BR>\n" );
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document.write( "b.	Conclusion based on the critical value method:<BR>\n" );
document.write( "The value of the test statistic is ____________<BR>\n" );
document.write( "The critical value for the test is ____________<BR>\n" );
document.write( "Write the appropriate concluding statement, comparing the two values and indicating whether or not the sample evidence is strong enough to lead to rejection of the null hypothesis.\r<BR>\n" );
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document.write( "c.	Conclusion based on the p-value method:<BR>\n" );
document.write( "The p-value is ______________<BR>\n" );
document.write( "The value of alpha is ___________<BR>\n" );
document.write( "Write the appropriate concluding statement, comparing the two values and indicating whether or not the sample evidence is strong enough to lead to rejection of the null hypothesis.\r<BR>\n" );
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document.write( "This is a statistics question. <BR>\n" );
document.write( "Thank you\r<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 #321186 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=321186\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Using either formulas or software, conduct this hypothesis test at the 5% level of significance.<BR>\n" );
document.write( "Ho: &#956; &#8804; 25<BR>\n" );
document.write( "Ha: &#956; > 25 <BR>\n" );
document.write( "A sample of size 24 was taken to test this hypothesis. The sample mean was 26.2 and the sample standard deviation was 3.6. <BR>\n" );
document.write( "a. Is this a z or t test?  t test__ <BR>\n" );
document.write( "b. Conclusion based on the critical value method:<BR>\n" );
document.write( "The value of the test statistic is <BR>\n" );
document.write( "t(26.2) = (26.2-25)/[3.6/sqrt(24) = 1.633____________<BR>\n" );
document.write( "The critical value for the test is InvT(0.95,23) = 1.7139____<BR>\n" );
document.write( "Write the appropriate concluding statement, comparing the two values and indicating whether or not the sample evidence is strong enough to lead to rejection of the null hypothesis.<BR>\n" );
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document.write( "Since the test statistic is not in the reject interval, which is<BR>\n" );
document.write( "t > 1.7139, fail to reject Ho.<BR>\n" );
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document.write( "c. Conclusion based on the p-value method:<BR>\n" );
document.write( "The p-value is P(t > 1.633 when df = 23) = 0.058______________<BR>\n" );
document.write( "The value of alpha is 5%___________<BR>\n" );
document.write( "Write the appropriate concluding statement, comparing the two values and indicating whether or not the sample evidence is strong enough to lead to rejection of the null hypothesis.<BR>\n" );
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document.write( "Since the p-value is greater than 5%, fail to reject Ho.<BR>\n" );
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document.write( "Cheers,<BR>\n" );
document.write( "Stan H. <BR>\n" );
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