Quiz 3 Practice Problems

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2037

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Jan 9, 2024

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SS1023/2037: Quiz 3 Practice Problems 1. Suppose you want to survey the opinions of your residence hall. The hall has 14 floors, each with 10 rooms, for a total of 140 rooms. You decide to sample 30 rooms. You ask every room on your floor, as well as the one below and above you, since they ’ re nearby. What sampling method did you use? a. Stratified b. Convenience c. Multi-stage d. Simple random sample e. Voluntary sample 2. Suppose you want to survey the opinions of your residence hall. The hall has 14 floors, each with 10 rooms, for a total of 140 rooms. You decide to sample 30 rooms. You email everyone who lives there, and wait until you receive 30 replies of people willing to be surveyed. What sampling method did you use? a. Stratified b. Cluster c. Multi-stage d. Case-control e. Voluntary sample 3. Suppose you want to survey the opinions of your residence hall. The hall has 14 floors, each with 10 rooms, for a total of 140 rooms. You decide to sample 30 rooms. You survey everyone on the 3 rd floor, 7 th floor and 12 th floor. What sampling method did you use? a. Stratified b. Cluster c. Multi-stage d. Simple random sample e. Voluntary sample 4. The three principles of experimental design are: a. Randomization, Control, Repetition b. Randomization, Effects, Repetition c. Control, Ethics, Sample d. Repetition, Randomization, Treatments 5. Samuel is designing a randomized complete block design. His treatment factor has 4 levels, and his blocking factor has 5 levels. How many combinations are there of treatments?

6. Kathy and Nancy are running an experiment to determine the impact of run time on yield. They are trying out 4 different run times, and each of them will conduct half of the experiments to save time. What may be used as a blocking factor? a. Yield b. Run time c. Experimenter (Kathy, Nancy) d. There is no blocking 7. A researcher in agriculture wants to compare seedling disinfectants, to determine how they impact the number of seedlings that emerge. They are comparing 5 different disinfectants, on 4 different plots of land. They plant 300 seeds in each plot. Their response variable is the number of plants that emerge i.e. successful seedlings. What is the experimental unit? a. Plots b. Disinfectants c. Seedlings d. 300 8. A researcher in agriculture wants to compare seedling disinfectants, to determine how they impact the number of seedlings that emerge. They are comparing 5 different disinfectants, on 4 different plots of land. They plant 300 seeds in each plot. Their response variable is the number of plants that emerge i.e. successful seedlings. What is the blocking factor? a. Plots b. Disinfectants c. Seedlings d. 300 9. A researcher wants to compare the impact of time between watering on Rhipsalidopsis gaertneri , a variety of cactus. They decide on five different times between watering (4 days, 8 days, 12 days, 16 days, 20 days). They have 50 plants, and will assign 10 plants to each watering time. Their experiment is carried out in a room with controlled humidity, and with one large east-facing window. For convenience, in the room they group the plants by the time between watering, i.e. all plants that are watered every 4 days are together, all plants that are watered every 8 days are together, etc. When they receive their shipment of 50 plants, they use a random number generator to assign the plants to groups. What principle of experimental design is being ignored here? How could they fix this? 10. In the following observational studies, describe changes that could be made to the observation process that would result in an experiment. a. Your friend likes to play poker. Every time he tells you about a poker game, he says that he won. b. In an introductory statistics class, you notice that the students who sit in the first two rows had higher scores on the exams, compared to other students.

11. Name the study design: a. A study to compare two methods of preserving wood started with boards of white pine. Each board was ripped from end to end to form two edge-matched specimens. One was assigned to Method A, the other to Method B. b. A survey on youth and smoking contacted by telephone 300 smokers and non- smokers, all 14 to 22 years of age. 12. In a Latin square design, each ______ must occur once and only once in each row and column a. Observation b. Experimental unit c. Treatment d. Block 13. A committee on community relations in a college town plans to survey local businesses about the importance of students as customers. From the telephone book, they choose 70 businesses at random. Of these, 26 return the questionnaire mailed by the committee. a. What is the population for this sample survey? b. What is the sample? c. What is the nonresponse rate? 14. Experiments involving humans must be reviewed by a Research Ethics Board in Canada. One of the key requirements for conducting an experiment involving humans is achieving consent. Which of the three (3) core principles underlying the respect for human dignity is the main driver for the requirement for informed consent? a. Respect for persons b. Respect for welfare c. Justice 15. Suppose you want to compare type of popcorn popper and brand of popcorn with respect to their yield (in terms of cups of popped corn). Factor A is the type of popper: oil-based versus air-based. Factor B is the brand of popcorn: gourmet versus national brand versus generic. For each combination of popper type and brand, you took three separate measurements. a. What is the response variable? b. What are the treatments? c. What type of design is this? 16. Twenty men and 20 women with high blood pressure were subjects in an experiment to determine the effectiveness of a new drug in lowering blood pressure. Ten of the 20 men and 10 of the 20 women were chosen at random to receive the new drug. The remaining men and women received the placebo. The change in blood pressure was measured for each subject. The design of this experiment is: a. Latin square b. Matched pairs, by drug c. Randomized block, by drug and gender

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d. Randomized block, by gender e. Randomized block, by drug 17. An industrial engineer is conducting an experiment on eye focus time. He is interested in the effect of the distance of the object from the eye on the focus time. Four different distances are of interest. He has five subjects available for the experiment. a. What is the response variable? b. What are the treatments? c. What is the blocking factor? d. What type of design is this?

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