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Directions: 1) Show all work in order to receive partial credit. 2) Use any technique you wish to answer the questions on this exam unless mm in the question. Remember to check your answers when possible. 3) Use your calculator whenever possible to save yourself time and effort. 4) Read and follow directions for each question. 5) Answer each question as best you can. If you get stuck, move on to the next question and come back later. 6) if you have any questions during the exam, raise your hand and i will come to you to answer if possible. 7) GOOD LUCK TO ALL OF YOU! YOU'LL DO FlNEil none me 1:19: Emma-r mam O o ' .V Math 127 Final Exam 20. In the following situation a study is described. You are asked to determine whether it is an experiment or an observational study. You are then asked to identify the population being discussed and what the treatment and outcome variables are. (4 pts) A researcher wishes to study the effects of listening to Mozart when studying college-level mathematics. A sample of 90 community college students is obtained and half study listening to Mozart and the other half study in silence. The two groups are then given the same math exam and the results are compared. i) This is a(n) experiment observational study (circle one) i) The population which this study attempts to discuss is iii) The treatment variable in this study is iv) The outcome variable in this study is Spring 2021 page 11 of 14 Page 13 of 16 Math 127 Final Exam 21. A researcher working for American hospitals wants to find out information about the number of nurses that will be available to hire in coming years. A random survey of 350 community college graduates finds that 87 are graduating with a degree in Nursing. Find the 95% confidence interval for the proportion of all graduates of community colleges whose degrees are in Nursing. Write your final answer in a complete sentence. Be sure to show all work and also justify the use of any formulas used to find this interval by verifying necessary conditions. (8 pts) Spring 2021 page 12 of 14Math 127 Final Exam 24. During a TV news interview, a child psychologist claims that over 65% of all children's shows contain acts of violence deemed \"not suitable" for young children. A random sample of 70 children's shows are reviewed, and in 70% of these shows there was an act of violence that was \"not suitable\" for yOung children. Test the psychologist's claim at the 5% level of signicance. Be sure to verify any condtions necessary to complete this test. (Note: You may assume that there are at least 1000 dterent children 's TVshows). (7 points) Spring 2021 page 14 of 14
