Collecting data

Practice sheet

Fresh questions from the whole chapter, to do on paper.

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  1. A researcher measures the sleep of 376 randomly chosen teenagers and finds a mean of 7.1 hours. What is 7.1?
    1. A statistic: it describes the sample
    2. A parameter: it describes all teenagers
    3. The population
  2. To learn how much US college students spend on books, a team surveys 671 students at 20 colleges. What is the population?
    1. All US college students
    2. The 671 students surveyed
    3. The 20 colleges
  3. Census records show that 52% of all households in a town own a car. What is 52%?
    1. A parameter: it describes the whole population
    2. A statistic
    3. A sample proportion
  4. A school has 600 juniors and 300 seniors. A stratified sample of 90 students is taken in proportion to grade. How many juniors are in the sample?
  5. A systematic sample of 30 customers is taken from a list of 480: a random start, then every kkth name. What is kk?
  6. A district has 60 classrooms. Five are chosen at random and every student in them is surveyed. Which sampling method is this?
    1. Cluster sampling
    2. Stratified sampling
    3. A simple random sample of students
  7. A news website asks readers to vote online; 4824 vote and 80% favor a new law. What is the main problem?
    1. Voluntary response bias: people with strong opinions choose to respond
    2. The sample is too small
    3. None: 4824 responses are representative
  8. A survey of 115 adults is done by calling landline numbers. What kind of bias is most likely?
    1. Undercoverage: people without landlines cannot be chosen
    2. Response bias from the wording
    3. None, if the numbers are chosen at random
  9. A biased survey of 238 people is repeated with 10 times as many people, chosen the same way. What happens to the bias?
    1. It stays: a larger sample reduces random variability, not bias
    2. It disappears
    3. It becomes 10 times smaller
  10. Researchers randomly assign 66 volunteers to drink coffee or water, then test their reaction times. What kind of study is it?
    1. An experiment: the researchers assign the treatment
    2. An observational study
    3. A sample survey
  11. Children with bigger shoes read better (16% higher scores). What is the most likely explanation?
    1. A confounding variable: age affects both shoe size and reading
    2. Bigger feet improve reading
    3. It must be pure chance
  12. An observational study of 3416 adults finds that those who eat breakfast weigh less. Does this show that eating breakfast causes lower weight?
    1. No: other differences between the groups could explain it
    2. Yes, because the sample is large
    3. Yes, if the association is strong