document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=541224>Question 541224</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Questions 25 and 26 – Essay: Selecting a Level of Significance. For each of the following situations, choose a level of significance (a) appropriate to the seriousness of the potential error involved should the null hypothesis be rejected when it is actually true. Explain in detail your choice of a.\r<BR>\n" );
document.write( "\n" );
document.write( "25. (3 points). You wish to decide on whether a new treatment for pancreatic cancer, known to be a fatal disease, is superior to the standard treatment.\r<BR>\n" );
document.write( "\n" );
document.write( "26. (3 points). The claim is made that the mean income for families of size four is greater than 40,000 dollars.\r<BR>\n" );
document.write( "\n" );
document.write( "Questions 27 and 28 – Hypothesis Testing: Use the four step process to complete the following Hypothesis Tests: Outline each step in detail.\r<BR>\n" );
document.write( "\n" );
document.write( "27. It is determined that the 100 subjects have a sample mean serum cholesterol level of 217 and the sample standard deviation is 39. If the desirable serum cholesterol level is set at 200, would you have concerns about elevated serum cholesterol level in this sample? Use = .05<BR>\n" );
document.write( "Step 1 (2 points)<BR>\n" );
document.write( "Step 2 (2 points)<BR>\n" );
document.write( "Step 3 (2 points)<BR>\n" );
document.write( "Step 4 (6 points) Hint: Here you should answer the questions based on the steps 1-3.\r<BR>\n" );
document.write( "\n" );
document.write( "28. A researcher wanted to determine whether a program for routine cholesterol screening for college men<BR>\n" );
document.write( "would identify high serum cholesterol levels. The researcher decided that above 200 would be high. Twenty<BR>\n" );
document.write( "students were randomly selected for cholesterol screening, and the results were given below. Is there any<BR>\n" );
document.write( "evidence that asymptomatic college men have elevated serum cholesterol values? Would a large-scale screening<BR>\n" );
document.write( "program be warranted? Use = .05<BR>\n" );
document.write( "160 210 200 230 210 150 220 190 210 220<BR>\n" );
document.write( "160 220 240 180 200 200 210 170 180 220<BR>\n" );
document.write( "You should be able to confirm that the x 199 and s = 25.11<BR>\n" );
document.write( "Step 1 (2 points)<BR>\n" );
document.write( "Step 2 (2 points)<BR>\n" );
document.write( "Step 3 (2 points)<BR>\n" );
document.write( "Step 4 (6 points) Hint: Here you should answer the questions based on the steps 1-3. </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #354123 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=354123\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> 25. (3 points). You wish to decide on whether a new treatment for pancreatic cancer, known to be a fatal disease, is superior to the standard treatment.<BR>\n" );
document.write( "Ans: 99% because it is a life-and-death decision.<BR>\n" );
document.write( "------------------------------ <BR>\n" );
document.write( "26. (3 points). The claim is made that the mean income for families of size four is greater than 40,000 dollars.<BR>\n" );
document.write( "Ans: 90 or 95 should be suitable as the answer is not critical.<BR>\n" );
document.write( "---------------------------------- <BR>\n" );
document.write( "Questions 27 and 28 – Hypothesis Testing: Use the four step process to complete the following Hypothesis Tests: Outline each step in detail. <BR>\n" );
document.write( "27. It is determined that the 100 subjects have a sample mean serum cholesterol level of 217 and the sample standard deviation is 39. <BR>\n" );
document.write( "If the desirable serum cholesterol level is set at 200, would you have concerns about elevated serum cholesterol level in this sample? Use = .05<BR>\n" );
document.write( "Step 1 <BR>\n" );
document.write( "Ho: u = 200<BR>\n" );
document.write( "Ha: m > 200 (claim)<BR>\n" );
document.write( "----------------<BR>\n" );
document.write( "Step 2 <BR>\n" );
document.write( "test stat: t = (217-200)/[39/sqrt(100)] = 17/[3.9] = 4.36<BR>\n" );
document.write( "--------<BR>\n" );
document.write( "Step 3 p-value = P(t > 4.36 when df = 99) = 0.0000159<BR>\n" );
document.write( "Step 4 Since the p-value is less than 55, reject Ho.<BR>\n" );
document.write( "The test results support the claim the at the tested level is elevated <BR>\n" );
document.write( "and you should be concerned.<BR>\n" );
document.write( "================\r<BR>\n" );
document.write( "\n" );
document.write( "28. A researcher wanted to determine whether a program for routine cholesterol screening for college men would identify high serum cholesterol levels. The researcher decided that above 200 would be high. Twenty students were randomly selected for cholesterol screening, and the results were given below. Is there any evidence that asymptomatic college men have elevated serum cholesterol values? Would a large-scale screening<BR>\n" );
document.write( "program be warranted? Use = .05<BR>\n" );
document.write( "160 210 200 230 210 150 220 190 210 220<BR>\n" );
document.write( "160 220 240 180 200 200 210 170 180 220<BR>\n" );
document.write( "---<BR>\n" );
document.write( "Comment: find the sample mean and follow the same steps<BR>\n" );
document.write( "used in problem # 27<BR>\n" );
document.write( "=======================<BR>\n" );
document.write( "You should be able to confirm that the x 199 and s = 25.11<BR>\n" );
document.write( "Step 1 (2 points)<BR>\n" );
document.write( "Step 2 (2 points)<BR>\n" );
document.write( "Step 3 (2 points)<BR>\n" );
document.write( "Step 4 (6 points) Hint: Here you should answer the questions based on the steps 1-3.<BR>\n" );
document.write( "==================<BR>\n" );
document.write( "Cheers,<BR>\n" );
document.write( "Stan H.<BR>\n" );
document.write( "==================== </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );