document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1174664>Question 1174664</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Suppose you are a researcher in a hospital. You are experimenting with a new tranquilizer. You collect data from a random sample of 10 patients. The period of effectiveness of the tranquilizer for each patient (in hours) is as follows: <BR>\n" );
document.write( "2.2, 2.4,2.6 ,2.4 ,2.1 ,2,2.4,2.7 ,2 ,2.9<BR>\n" );
document.write( "A. What is a point estimate for the population mean length of time. (Round answer to 4 decimal places)<BR>\n" );
document.write( "B. Which distribution should you use for this problem?<BR>\n" );
document.write( " t-distribution  normal distribution<BR>\n" );
document.write( "C. Why? <BR>\n" );
document.write( "D. What must be true in order to construct a confidence interval in this situation?  <BR>\n" );
document.write( "  The population must be approximately normal.  The population standard deviation must be known.  The population mean must be known.  The sample size must be greater than 30<BR>\n" );
document.write( "E. Construct a 99% confidence interval for the population mean length of time. Enter your answer as an open-interval (i.e., parentheses) Round upper and lower bounds to two decimal places\r<BR>\n" );
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document.write( "F. Interpret the confidence interval in a complete sentence. Make sure you include units<BR>\n" );
document.write( "G. What does it mean to be \"99% confident\" in this problem? Use the definition of confidence level. <BR>\n" );
document.write( "  There is a 99% chance that the confidence interval contains the population mean  The confidence interval contains 99% of all samples. 99% of all simple random samples of size 10 from this population will result in confidence intervals that contain the population mean\r<BR>\n" );
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document.write( "H. Suppose that the company releases a statement that the mean time for all patients is 2 hours.\r<BR>\n" );
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document.write( "Is this possible?  No,  Yes<BR>\n" );
document.write( "Is it likely?  No,  Yes\r<BR>\n" );
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document.write( "I. Use the results above and make an argument in favor or against the company's statement. Structure your essay as follows:<BR>\n" );
document.write( "1.	Describe the population and parameter for this situation.<BR>\n" );
document.write( "2.	Describe the sample and statistic for this situation.<BR>\n" );
document.write( "3.	Give a brief explanation of what a confidence interval is.<BR>\n" );
document.write( "4.	Explain what type of confidence interval you can make in this situation and why.<BR>\n" );
document.write( "5.	Interpret the confidence interval for this situation.<BR>\n" );
document.write( "6.	Restate the company's claim and whether you agree with it or not.<BR>\n" );
document.write( "7.	Use the confidence interval to estimate the likelihood of the company's claim being true.<BR>\n" );
document.write( "8.	Suggest what the company should do.\r<BR>\n" );
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document.write( " </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #800125 by </B><A HREF=/tutors/aboutme.mpl?userid=ikleyn><B>ikleyn(52781)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=ikleyn><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=ikleyn><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=800125\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> .\r<BR>\n" );
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