document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=143327>Question 143327</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Part 2)  Exercise #2 The null and alternate hypotheses are:\r<BR>\n" );
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document.write( "H(0): m(1) = m(2)<BR>\n" );
document.write( "H(1): m(1) is not equal to m(2)<BR>\n" );
document.write( "A random sample of 10 observations from one sample revealed a sample mean of 23 and a sample STDEV of 4.  A random sample of 8 observations from another population revealed a sample mean of 26 and a sample STDEV of 5.  At the 0.05 significance level, is there a difference between the population means?  Also, (a) state the decision rule, (b) compute the pooled estimate of the population variance,(c) compute the t-test statistic, (d) state your decision about the null hypothesis, and (e) estimate the p-value.\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 #104393 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=104393\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Part 2)  Exercise #2 The null and alternate hypotheses are:\r<BR>\n" );
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document.write( "H(0): m(1) = m(2)<BR>\n" );
document.write( "H(1): m(1) is not equal to m(2)<BR>\n" );
document.write( "A random sample of 10 observations from one sample revealed a sample mean of 23 and a sample STDEV of 4.  A random sample of 8 observations from another population revealed a sample mean of 26 and a sample STDEV of 5.<BR>\n" );
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document.write( "At the 0.05 significance level, is there a difference between the population means? <BR>\n" );
document.write( "Since the p-value is greater than 5%, fail to reject Ho<BR>\n" );
document.write( "The means are equal.<BR>\n" );
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document.write( "(a) state the decision rule,<BR>\n" );
document.write( "Critical values for 2-tail test with alpha=5% and df = 10+8-2=16: t = +/-2.120<BR>\n" );
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document.write( "(b) compute the pooled estimate of the population variance,<BR>\n" );
document.write( "The formula is on p 406 of your text.<BR>\n" );
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document.write( "(c) compute the t-test statistic,<BR>\n" );
document.write( "test stat: t = -1.4164... <BR>\n" );
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document.write( "(d) state your decision about the null hypothesis,<BR>\n" );
document.write( "Fail to reject Ho.<BR>\n" );
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document.write( "(e) estimate the p-value.<BR>\n" );
document.write( "p-value = 2P(-10 < t < -1.4164 with df= 16) = 0.17582...<BR>\n" );
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document.write( "Cheers,<BR>\n" );
document.write( "Stan H.\r<BR>\n" );
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