Math exam COMPLETED (3)

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Mathematics

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Apr 3, 2024

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STATISTICS MELODY E. ELDRED MATH 125 EXAM #1 SPRING 2024 1. TRUE or FALSE: A randomized block design for assigning experimental units to treatments is similar to the stratified sampling technique when choosing a sample for a study. (2) 2. TRUE or FALSE : Mathematical operations are possible with qualitative data. (2) 3. TRUE or FALSE: If every unit in the population has an equal chance of being selected on any round, the process is called simple random sampling. (2) 4. TRUE or FALSE : Randomization removes the effect of lurking variables. (2) 5. The placebo effect refers to what? (2) a) observing a positive relationship in data when the relationship should be negative b) the fact that the patients often respond to any treatment, even a dummy treatment c) the fact that patients typically feel more at ease in studies involving small groups d) any biased diagnosis that occurs when the examining physician knows which treatment a patient received 6. Control groups are used in experiments in order to what? (2) a) Control the effects of lurking variables. b) Control the subjects of a study so as to insure all participate equally. c) Guarantee that someone other than the investigators, who have a vested interest in the outcome, control how the experiment is conducted. d) Achieve a proper, uniform level of randomization. 7. You want to study the effect of kangaroos on the Florida Everglades ecosystem. Which method of data collection would you use to collect your data? (2) a) observational study b) designed experiment c) simulation d) survey 8. What occurs in a double-blind experiment? (2) a) Both eyes are blindfolded so as to deprive subjects of visual input. b) Subjects know neither what they are to do nor when they are to do it. c) Neither subjects nor evaluators know what treatment the subjects are receiving. d) Units are not allowed to see other units nor the investigators. 9. The following variables are used to describe professional football players. Which is quantitative? (2) a) position b) weight c) team d) college attended
10. In analyzing quantitative data, the following is not appropriate: (2) a) times series graph b) polygon c) stem-and-leaf plot d) pie graph 11. In order to assess the opinion of students at Syracuse University, a reporter for the student newspaper interviews the first six students he meets who are willing to express their opinion. a) What is the sample? The first six students the reporter speaks with who are open to sharing their thoughts make up the sample. (2) b) What sampling method was used? Convenience sampling is the sample method employed. (2) 12. A tax auditor has a pile of 160 tax returns of which he would like to select 4 for a special audit. Select the sample numbers using random sampling and the line from the random digits table below: (4) 81057 21102 56027 33063 41102 81868 15035 09001 43367 Using the random digits table, the sample numbers for the tax auditor's case may be 08, 57, 21, 10, or any other four different integers between 01 and 160. 13. A flour company wants to know what fraction of Minneapolis households bake some or all of their own bread. A sample of 500 residential addresses is taken, and interviewers are sent to these addresses. The interviewers are employed during regular working hours on weekdays and interview only during those hours. a) Identify the population. The population is all Minneapolis households. (2) b) This situation includes a likely source of bias. Discuss any such bias. Because the interviewers are only working during regular business hours on weekdays, it is likely that their experiences will differ from those of the broad population when it comes to baking bread. (2) 14. The blood types for 24 people who agreed to participate in a medical study were as follows: O A A O O AB O O B A O AB B O O O A B O A O A AB B
Construct an ungrouped frequency table for this qualitative data. Blood Type Frequency O 10 A 7 B 4 AB 3 (4) 15. Identify the study as observational or experiment: A sample of fish is taken from a lake to measure the effect of pollution from a nearby factory on the fish. (2) 16. What term do we use to describe a time series graph showing the long-term upward or downward movement over time? “Trend” (2) 17. After reviewing a movie, 200 people rated the movie as excellent, good, or fair. Construct a pie chart representing the percentages for the given data: (6) Excellent Good Fair 40 = 20% 100 = 50% 60 = 30% C ouldn’t really make a perfect one on word` 18. A sociologist wants to study the attitudes of American male college students toward marriage and husband-wife relations. She gives the questionnaire to 250 men enrolled in her college. 40% of the men surveyed said they would wait between 2 and 5 years after graduation before considering marriage. Is the 40% a statistic or a parameter? Why? (4) The 40% is a statistic because it is based on a sample of the population (all male college students in America), specifically 250 men who are enrolled in her college. 19. The number of cars passing a busy intersection between 4:30 pm and 6:30 pm on a Monday is 2,200. Is this an example of discrete or continuous data? (2) 20. The manager of a bank recorded the amount of time each customer spent waiting in line during peak business hours one Monday. The frequency table below summarizes the results: Waiting time Number of (minutes) customers 0 – 3 10 4 – 7 14 8 – 11 12 12 – 15 7
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