Statistics: Random Variables and Data Types
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Questions and Answers

Which of the following is not a random variable when flipping a coin?

  • The list of outcomes Head and Tail (correct)
  • Assigning 1 when Tail and 0 when Head
  • Assigning 0 when Head and 1 when Tail
  • Assigning 1 when Tail or Head
  • The number of Heads
  • Which of the following statements is correct?

  • Business researchers rarely give attention to collecting meaningful data.
  • Valid data are the lifeblood of business statistics. (correct)
  • Measurements never need to be defined by the business researcher.
  • Business statistics are extremely complex and hard to use for decision making.
  • Variables are data that can be directly used for decision making.
  • What type of statistics is described when marking and releasing fish back into a pond?

  • This is an example of descriptive statistics, because you are describing the number of fishes in the pond.
  • This is an example of inferential statistics, because you are inferring the population of fishes. (correct)
  • This could be either an example of descriptive or inferential statistics, depending on your procedure.
  • This procedure would not allow you to estimate the population of fishes.
  • This is not an example of statistics.
  • The coding of survey responses in a marketing demographic survey represents which level of data?

    <p>Nominal level</p> Signup and view all the answers

    What is the example of the cancer research group estimating the percentage of women with scheduled mammograms?

    <p>Inferential statistics</p> Signup and view all the answers

    What does the proportion of defective items at a manufacturing plant represent?

    <p>Statistic</p> Signup and view all the answers

    What type of statistics is depicted in Jessica Salas's decision regarding the warranty period for batteries?

    <p>Descriptive statistics</p> Signup and view all the answers

    Jack Joyner's inspection of castings during the quality control process is an example of which type of statistics?

    <p>Judgmental statistics</p> Signup and view all the answers

    Study Notes

    Random Variables

    • A random variable is a variable whose value is a numerical outcome of a random phenomenon.
    • The list of outcomes (e.g., Head and Tail) is not a random variable, as it is not a numerical value.

    Data Types and Levels of Measurement

    • Nominal Level: Data that can only be categorized, with no order or ranking (e.g., residence type: house, apartment, condominium).
    • Ordinal Level: Data that can be categorized and ordered, but the difference between categories may not be equal (e.g., customer satisfaction: very satisfied, satisfied, neutral, dissatisfied, very dissatisfied).
    • Interval Level: Data that can be categorized, ordered, and the differences between categories are meaningful, but there is no true zero point (e.g., temperature measured in Celsius).
    • Ratio Level: Data that can be categorized, ordered, differences are meaningful, and there is a true zero point (e.g., height, weight).

    Descriptive vs. Inferential Statistics

    • Descriptive Statistics: Summarizing and describing data from a sample or population (e.g., calculating the average life of automobile batteries).
    • Inferential Statistics: Making inferences about a population based on data from a sample (e.g., estimating the percentage of women 40 years or older who have regularly scheduled mammograms).

    Parameters vs. Statistics

    • Parameter: A numerical measure describing a characteristic of a population (e.g., the true average life of all automobile batteries).
    • Statistic: A numerical measure describing a characteristic of a sample (e.g., the average life of 100 automobile batteries).

    Types of Sampling Methods

    • Random Sampling: Selecting a sample where every member of the population has an equal chance of being chosen (e.g., randomly selecting 200 items from a production run).
    • Judgmental Sampling: Selecting a sample based on expert opinion or judgment (e.g., inspecting every fifth casting drilled during the evening shift).

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    Quiz Team

    Description

    Explore key concepts in statistics, including random variables and various levels of measurement. Understand the differences between nominal, ordinal, interval, and ratio data. This quiz will also touch on descriptive versus inferential statistics, enhancing your grasp of statistical methods.

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