document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=769319>Question 769319</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Can you please help me solve this statistic problem?\r<BR>\n" );
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document.write( "6) It's well established, we'll assume, that lab rats require an average of 32 trials in a complex water maze before reaching a learning criterion of three consecutive errorless trials. To determine whether a mildly adverse stimulus has any effect on performance, a sample of seven lab rats were given a mild electrical shock just before each trial.<BR>\n" );
document.write( "(a) Given that X-Bar (the Mean of X) = 35.91 and s = 2.88, test the null hypothesis with t, using the .05 level of significance. \r<BR>\n" );
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document.write( "(b) Construct a 95 percent confidence interval for the true number of trials required to learn the water maze\r<BR>\n" );
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document.write( "(c) Interpret this confidence interval<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 #468787 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=468787\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> It's well established, we'll assume, that lab rats require an average of 32 trials in a complex water maze before reaching a learning criterion of three consecutive errorless trials. <BR>\n" );
document.write( "To determine whether a mildly adverse stimulus has any effect on performance, a sample of seven lab rats were given a mild electrical shock just before each trial.<BR>\n" );
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document.write( "(a) Given that X-Bar (the Mean of X) = 35.91 and s = 2.88, test the null hypothesis with t, using the .05 level of significance.<BR>\n" );
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document.write( "Ho: u = 32<BR>\n" );
document.write( "Ha: u # 32<BR>\n" );
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document.write( "t(35.91) = (35.91-32)/[2.88/sqrt(7)] = 3.5920<BR>\n" );
document.write( "p-value = 2*P(t > 3.5920 when df = 6) = 2*tcdf(3.5920,100,6) = 0.0115<BR>\n" );
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document.write( "Conclusion:: Since the p-value is less than 5%, reject Ho.<BR>\n" );
document.write( "Cnclusion: The shock treatment has casused a change.<BR>\n" );
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document.write( "(b) Construct a 95 percent confidence interval for the true number of trials required to learn the water maze <BR>\n" );
document.write( "x-bar = 35.91<BR>\n" );
document.write( "ME = 1.96 = 2.1335<BR>\n" );
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document.write( "95% CI: 35.91-2.1335 < u < 35.91+2.1335<BR>\n" );
document.write( "95% CI: 33.78 < u < 38.04<BR>\n" );
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document.write( "(c) Interpret this confidence interval<BR>\n" );
document.write( "We have 95% confidence that the number of trials required<BR>\n" );
document.write( "is between 33.78 and 38.04<BR>\n" );
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document.write( "Cheers,<BR>\n" );
document.write( "Stan H.<BR>\n" );
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