\f\fPrint Test 12/8/13 5:02 PM PRINTABLE VERSION Test 3 You scored 50 out of 70 Question 1 Your answer is CORRECT. sh is ar stu ed d vi y re aC s o ou urc rs e eH w er as o. co m A random sample of 64 observations produced a mean value of 81 and standard deviation of 5.5. The 95% confidence interval for the population mean ! is between a) 79.153 and 82.848 b) 80.153 and 81.848 c) 78.653 and 84.348 d) 79.869 and 82.131 e) 79.653 and 82.348 Question 2 Your answer is CORRECT. A random sample of 121 observations produced a sample proportion of 0.3. An approximate 95% confidence interval for the population proportion p is between 0.258 and 0.342 b) 0.202 and 0.398 c) 0.218 and 0.369 d) 0.231 and 0.369 e) 0.218 and 0.382 Th a) Question 3 Your answer is CORRECT. https://www.casa.uh.edu/CourseWare2008/Root/Pages/CW/Users/Student/Grades/PrintTest.htm https://www.coursehero.com/file/8538132/test3-mc/ Page 1 of 5 Print Test 12/8/13 5:02 PM If the P-value is larger than the level of significance ", then the researcher should __________ at level ". a) Fail to reject H0 b) Accept H0 c) Reject H0 Question 4 Your answer is INCORRECT. sh is ar stu ed d vi y re aC s o ou urc rs e eH w er as o. co m Which of the following statements are not true in developing a confidence interval for the population mean? a) The width of the confidence interval becomes wider as the confidence level increases. b) The width of the confidence interval becomes narrower when the sample mean increases. c) The width of the confidence interval becomes narrower when the sample size n increases. d) All of the above statements are true. e) None of the above statements are true. Question 5 Your answer is CORRECT. a) 166 b) 173 c) 165 d) 23 e) 13 Th The length of needles produced by a machine has standard deviation of 0.03 inches. Assuming that the distribution is normal, how large a sample is needed to determine with a precision of 0.006 inches the mean length of the produced needles to 99% confidence? https://www.casa.uh.edu/CourseWare2008/Root/Pages/CW/Users/Student/Grades/PrintTest.htm https://www.coursehero.com/file/8538132/test3-mc/ Page 2 of 5 Print Test 12/8/13 5:02 PM Question 6 Your answer is INCORRECT. a) 0.089 b) 0.345 c) 0.000 d) 0.955 e) 0.045 Question 7 sh is ar stu ed d vi y re aC s o ou urc rs e eH w er as o. co m The one-sample t statistic for a test of H0: ! = 11 vs. Ha: ! < 11 based on n = 13 observations has the test statistic value of t = -1.85. What is the p-value for this test? Your answer is CORRECT. Suppose you wish to test if a number cube (die) is loaded or not. If the die is not loaded, the theoretical probabilities for each roll should be: 1 16 2/3 % 2 16 2/3 % 3 16 2/3 % 4 16 2/3 % 5 16 2/3 % 6 16 2/3 % You roll the die 93 times and come up with the following distribution: 1 14 2 11 3 20 4 16 5 17 6 15 Th What type of test should be used in this situation and what is the test statistic? a) Two proportion z test; z = 0.241 b) # Goodness of Fit; # = 2.935 c) One proportion z test; z = 1.150 d) One proportion z test; z = 0.241 2 2 https://www.casa.uh.edu/CourseWare2008/Root/Pages/CW/Users/Student/Grades/PrintTest.htm https://www.coursehero.com/file/8538132/test3-mc/ Page 3 of 5 Print Test 12/8/13 5:02 PM 2 2 e) # Goodness of Fit; # = 4.074 f) None of the above Question 8 Your answer is CORRECT. This is a written question, worth 15 points. DO NOT place the problem code on the answer sheet. A proctor will fill this out after exam submission. Show all steps (work) on your answer sheet for full credit. Problem Code: 883 sh is ar stu ed d vi y re aC s o ou urc rs e eH w er as o. co m Various studies indicate that approximately 11% of the world's population is left handed. You think this number is actually higher. You take an SRS of 212 people and find that 27 of them are left handed. Test your claim at the 5% significance level. Part a: State your null and alternative hypotheses. Part b: Sketch the rejection region. Part c: Calculate the test statistic. Plot this value in your sketch in part b. Part d: Determine the P-value for your test. Part e: State your conclusions clearly in complete sentences. a) I have placed my work and my answer on my answer sheet. b) I want to have points deducted from my test for not working this problem. Question 9 Th Your answer is CORRECT. This is a written question, worth 15 points. DO NOT place the problem code on the answer sheet. A proctor will fill this out after exam submission. Show all steps (work) on your answer sheet for full credit. Problem Code: 912 The belief is that the mean number of hours per week of part-time work of high school seniors in a city is 10.5 hours. Data from a simple random sample of 22 seniors indicated that their mean number of parttime work was 12.3 with a standard deviation of 1.3. Test whether these data cast doubt on the current belief. (use " = 0.05) https://www.casa.uh.edu/CourseWare2008/Root/Pages/CW/Users/Student/Grades/PrintTest.htm https://www.coursehero.com/file/8538132/test3-mc/ Page 4 of 5 Print Test 12/8/13 5:02 PM Part a: State your null and alternative hypotheses. Part b: Sketch the rejection region. Part c: Calculate the test statistic. Plot this value in your sketch in part b. Part d: Determine the P-value for your test. Part e: State your conclusions clearly in complete sentences. I have placed my work and my answer on my answer sheet. b) I want to have points deducted from my test for not working this problem. Th sh is ar stu ed d vi y re aC s o ou urc rs e eH w er as o. co m a) https://www.casa.uh.edu/CourseWare2008/Root/Pages/CW/Users/Student/Grades/PrintTest.htm https://www.coursehero.com/file/8538132/test3-mc/ Powered by TCPDF (www.tcpdf.org) Page 5 of 5 \f\f