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UT Knoxville STAT 201 - Practice Exam 2 - SP14

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1 Statistics 201 Practice Exam 2 (From Fall 2013) This practice exam is provided solely for the purpose of familiarizing you with the format and style of the Stat 201 exams. There is no explicit or implicit guarantee that the upcoming exam will ask similar questions. If you use the practice exam as your only tool to help you prepare for the upcoming exam, you most likely will not do well on the exam. You should still do the things you would have done if you did not have access to this practice exam, such as re‐read the text, go over your class notes, re‐work the online homework problems, and look at the list of exam topics provided and make sure that you understand all the concepts listed within it. *** Please note that the total point on this test exceed 100. This is because this practice exam has two extra questions (one on Decision Trees, and one from Chapter 19), to give you an idea of what was expected last semester. 2 **Note: All problems requiring calculations should be reported to THREE decimal places unless stated otherwise. 1. Gallup Inc. is a researched-based, global performance management consulting firm whose primary business deals with public polling of residents of the U.S. and other countries around the world. In 2012, a Gallup Poll asked “Do you believe that illegal immigration is an issue in the United States of America?” Gallup’s final report stated “Results are based on telephone interviews conducted in the year 2012 with a simple random sample of 210,014 adults, aged 18 and older, living in the contiguous, adjoining 48 states of the U.S. Sixty-three percent of the contacted respondents believe that illegal immigration is a huge problem in the United States”. Use this information to answer the following questions below. a) (3 points) What is the population of interest for this poll? b) (3 points) What is the parameter of interest for this Gallup poll? c) (2 points) What is the sample? d) (2 points) Although Gallup performed a simple random sample adults for this poll, is there any potential segment of the population do you believe were omitted? Explain, if applicable, the potential portion of the adult U.S. population that was “undercovered” or not fully represented in the simple random sample that Gallup performed.3 2. An insurance company wanted to understand the relationship between the age of their policy holders and the number of claims filed by them. A large number of policy holders were sampled, and a linear regression model was fit to the data that were collected. Only the policy holders themselves were used in the analysis (i.e., spouses and dependents ages’ and claims were not included in the analysis). The age (in years) of the policy holder and the number of claims filed for that policy holder in the last 12 months were used in the analysis. The following equation resulted: i) (3 points) Provide a brief interpretation for the value of the slope of this regression equation. ii) (3 points) Do you believe the y-intercept has any logical interpretation in this case? Circle one: YES NO If you circled YES, provide your interpretation below. If you circled NO, why do you believe there is no logical interpretation for the y-intercept in this case? iii) (3 points) Use the regression equation above to estimate the number of claims a 55 year old policy holder will make in a year.4 3. Recent data from a Tennessee voting district show that about 45% of this district’s registered voters are Republicans, 40% are Democrats, 11% are Tea-Party affiliates, and 4% are “Other”. Assume that a voter can only be registered with one affiliation, i.e. a voter cannot be a registered member of the Tea Party and a member of the Republican Party. (Report your answers to FOUR decimal places.) i) (2 points) What is the probability that a randomly selected registered voter from this district is either a Democrat or “Other”? ii) (2 points) Suppose that Event A is that a randomly selected registered voter from this TN district is a Republican. What is the probability of Event A’s complement? iii) (3 points) Suppose two randomly selected registered voters from this TN district are asked their voter registration party. What is the probability that they both are Democrats? iv) (3 points) Suppose you poll five random registered voters from this district. What is the probability that at least one of them is a democrat? v) (2 points) Harry and Sally are married, and live in this Tennessee voting district. Should you use the multiplication rule of probability to determine the probability that both Harry and Sally are Republicans? Circle your answer: Yes No Briefly defend your circled response.5 4. Hospitals, like many organizations, are interested in obtaining certain information from its employees. Suppose that the administration of a large metropolitan hospital is interested in obtaining feedback from its employees regarding a myriad of issues ranging from their daily stress levels at work to how certain hospital procedures and processes can be improved. The hospital administration has employed an independent analyst to create a questionnaire along with various sampling schemes in order to garner feedback on these issues. For each of the following, match the appropriate sampling method with the scenarios below. (2 points each) ______ The analyst identifies six categories of employees (administration, physicians, nurses, medical technologists, clerical, and maintenance). From the six categories, he randomly selects 50 individuals from each category and gives them the questionnaire. He then combines the results and relays the results to the interested party. ______ Each employee has a unique identification number. The analyst uses a random number generator to attach a whole integer to each ID number, he sorts the random numbers in ascending order. The first 250 employees listed receive the questionnaire. ______ At the hospital cafeteria,


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UT Knoxville STAT 201 - Practice Exam 2 - SP14

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Chapter 2

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Chapter 1

Chapter 1

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