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Statistics LibreTexts

1.E: Introduction (Exercises)

  • Page ID
    7086
    1. In your own words, describe why we study statistics.
    Answer:

    Your answer could take many forms but should include information about objectively interpreting information and/or communicating results and research conclusions

    1. For each of the following, determine if the variable is continuous or discrete:
      1. Time taken to read a book chapter
      2. Favorite food
      3. Cognitive ability
      4. Temperature
      5. Letter grade received in a class
    2. For each of the following, determine the level of measurement:
      1. T-shirt size
      2. Time taken to run 100 meter race
      3. First, second, and third place in 100 meter race
      4. Birthplace 
      5. Temperature in Celsius 
    Answer:
    1. Ordinal
    2. Ratio
    3. Ordinal
    4. Nominal
    5. Interval
    1. What is the difference between a population and a sample? Which is described by a parameter and which is described by a statistic?
    2. What is sampling bias? What is sampling error?
    Answer:

    Sampling bias is the difference in demographic characteristics between a sample and the population it should represent. Sampling error is the difference between a population parameter and sample statistic that is caused by random chance due to sampling bias.

    1. What is the difference between a simple random sample and a stratified random sample?
    2. What are the two key characteristics of a true experimental design?
    Answer:

    Random assignment to treatment conditions and manipulation of the independent variable 9

    1. When would we use a quasi-experimental design?
    2. Use the following dataset for the computations below:
    \(\mathrm{X}\) \(\mathrm{Y}\)
    2 8
    3 8
    7 4
    5 1
    9 4
    1. \(\sum \mathrm{X}\)
    2. \(\sum \mathrm{Y}^2\)
    3. \(\sum \mathrm{XY}\)
    4. \((\sum \mathrm{Y})^2\)
    Answer:
    1. 26
    2. 161
    3. 109
    4. 625
    1. What are the most common measures of central tendency and spread?

    Contributors

    • Foster et al. (University of Missouri-St. Louis, Rice University, & University of Houston, Downtown Campus)