(Solution) MATH225N Week 1 Assignment: Comparing Sampling Methods

  1. Question: A television station plans to send a crew to a polling center on an election day.
    Because they do not have time to interview each individual voter, they decide to count voters
    leaving the polling location and ask every 20th voter for an interview. What type of sampling
    is this?
  2. Question: In order to study the shoe sizes of people in his town, Billy samples the population
    by dividing the residents by age and randomly selecting a proportionate number of residents
    from each age group. Which type of sampling is used?
  3. Question: The management of a large airline wants to estimate the average time after takeoff
    taken before the crew begins serving snacks and beverages on their flights. Assuming that
    management has easy access to all of the information that would be required to select flights
    by each proposed method, which of the following would be reasonable methods of stratified
    sampling? Select all that apply.
  4. Question: To study the mean respiratory rate of all people in his state, Frank samples the
    population by dividing the residents by towns and randomly selecting 12 of the towns. He
    then collects data from all the residents in the selected towns. Which type of sampling is
    used?
  5. Question: When is stratified sampling appropriate?
  6. Question: In reference to different sampling methods, cluster sampling includes the steps:
    use simple random sampling to select a set of groups; every individual in the chosen groups is
    included in the sample.
  7. Question: When is cluster sampling appropriate?
  8. Question: To study the mean head size of all people in her state, Jacqueline collects data
  9. Question: An executive for a large national restaurant chain with multiple locations in each
    of 513 counties wants to personally sample the cleanliness of the chain’s restaurants
    throughout the country by visiting restaurants. The executive wants a good-quality sample but
    wants to minimize travel time and expenses. Which of the following sampling methods
    would be most appropriate?
  10. Question: In order to study the wrist sizes of people in her town, Kathryn samples the
    population by dividing the residents by age and randomly selecting a proportionate number of
    residents from each age group. Which type of sampling is used?
  11. Question: A manufacturer has three tool centers that each make about 1000 tools every day.
    In order to implement better quality-control procedures, the manager wants to start sampling
    the tools made each day to be able to identify issues as quickly as possible. Which sampling
    method would be most appropriate?
  12. Question: To study the mean blood pressure of all people in her state, Christine samples the
    population by dividing the residents by towns and randomly selecting 9 of the towns. She
    then collects data from all the residents in the selected towns. Which type of sampling is
    used?
  13. Question: When is using a simple random sample appropriate?
  14. Question: Donald is studying the eating habits of all students attending his school. He
    samples the population by dividing the students into groups by grade level and randomly
    selecting a proportionate number of students from each group. He then collects data from the
    sample. Which type of sampling is used?
  15. Question: A grocer receives cartons of 12 eggs in boxes of 100 cartons. In a particular month,
    the grocer receives 4 shipments of eggs with 20 boxes in each shipment. The grocer wants to
    estimate the proportion of cartons he receives this month that include at least one broken egg.
    Which of the following sampling methods would be most appropriate?
  16. Question: When considering different sampling methods, stratified sampling includes the
    steps

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