Elementary Statistics

Chapter Test 33 Chapter Test 1 Take this test as you would take a test in class. 1. Determine whether you would take a census or use a sampling. If you would use a sampling, determine which sampling technique you would use. Explain. (a) The most popular type of investment among investors in New Jersey (b) The average age of the 30 employees of a company 2. Determine whether each number describes a population parameter or a sample statistic. Explain. (a) A survey of 4272 U.S. adults found that 27% of smart watch or fitness tracker owners are college graduates. (Source: Pew Research Center) (b) In a recent year, the average evidence-based reading and writing score on the SAT was 528. (Source: College Board) 3. Identify the sampling technique used, and discuss potential sources of bias (if any). Explain. (a) Chosen at random, 200 male and 200 female high school students are asked about their plans after high school. (b) Chosen at random, 625 customers at an electronics store are contacted and asked their opinions of the service they received. (c) Questioning teachers as they leave a faculty lounge, a researcher asks 45 of them about their teaching styles. 4. Determine whether the data are qualitative or quantitative, and determine the level of measurement of the data set. Explain your reasoning. (a) The numbers of employees at fast-food restaurants in a city are listed. 20 11 6 31 17 23 12 18 40 22 13 8 18 14 37 32 25 27 25 18 (b) The grade point averages (GPAs) for a class of students are listed. 3.6 3.2 2.0 3.8 3.0 3.5 1.7 3.2 2.2 4.0 2.5 1.9 2.8 3.6 2.5 3.7 5. Determine whether the survey question is biased. If the question is biased, suggest a better wording. (a) How many hours of sleep do you get on a normal night? (b) Do you agree that the town’s ban on skateboarding in parks is unfair? 6. In a study, researchers surveyed 17,461 U.S. physicians, asking for the information below. (Source: Medscape from WebMD) gender (male or female) age (years) location (region of the U.S.) income (dollars) employment status (private practice or an employee) specialty (cardiology, family medicine, radiology, etc.) time spent seeing patients per week (hours) Would you choose medicine again? (yes or no) (a) Identify the population and the sample. (b) Are the data collected qualitative, quantitative, or both? Explain your reasoning. (c) Determine the level of measurement for each item above. (d) Is the study an observational study or an experiment? Explain.

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