Statistics Chapter 2
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Statistics Chapter 2

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Questions and Answers

Quantitative variables classify individuals in a sample according to?

  • Observational data
  • Qualitative data
  • Categorical measure
  • Numerical measure (correct)
  • Classify the colors of automobiles on a used car lot as qualitative data or quantitative data.

    Qualitative data

    Classify the number of seats in a movie theatre as qualitative data or quantitative data.

    Quantitative data

    Classify the temperatures of cups of coffee served at a restaurant as qualitative data or quantitative data.

    <p>Quantitative data</p> Signup and view all the answers

    Classify the native languages of students in an English class as qualitative data or quantitative data.

    <p>Qualitative data</p> Signup and view all the answers

    A summary measure that is computed from a sample to describe a characteristic of interest is called?

    <p>A statistic</p> Signup and view all the answers

    A numerical summary of the population is called?

    <p>A parameter</p> Signup and view all the answers

    Determine whether the summary is better described as a parameter or a statistic: The average GPA of Harvard's 2007 graduating class.

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

    A survey of 1103 students was taken from a college with 14,500 students. Is this value a parameter or a statistic?

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

    Determine whether the summary measure is better described as a parameter or a statistic: 89% of all UK students take out some kind of loan to attend college.

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

    The average late fee for 561 credit card holders was found to be $56.75. Is this a parameter or a statistic?

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

    A survey of 299 American households found that 15% of the households own a dog. Identify the population.

    <p>All American households</p> Signup and view all the answers

    A survey of 299 American households found that 15% of the households own a dog. Identify the sample.

    <p>299 American households surveyed</p> Signup and view all the answers

    A survey of 299 American households found that 15% of the households own a dog. The 15% of the households own a dog is an example of?

    <p>A statistic</p> Signup and view all the answers

    A high school guidance counselor analyzed data from a sample of 600 community colleges taken throughout the United States. Identify the population of interest to the guidance counselor.

    <p>All community colleges in the United States</p> Signup and view all the answers

    Kennedy's Book Store conducts a survey to determine what percent of all UK students plan on selling back their textbooks after the Fall 2014 Semester. Identify the population.

    <p>All UK students</p> Signup and view all the answers

    Kennedy's Book Store conducts a survey to determine what percent of all UK students plan on selling back their textbooks after the Fall 2014 Semester. Identify the sample.

    <p>210 students that responded to the survey</p> Signup and view all the answers

    Identify the population parameters: Kennedy's Book Store survey on UK students selling back textbooks.

    <p>The percent of all UK students planning to sell back their textbooks.</p> Signup and view all the answers

    Identify the sample statistic: Kennedy's Book Store survey on UK students selling back textbooks.

    <p>The percent of the 210 surveyed students that will sell back their books.</p> Signup and view all the answers

    Random sampling enables the sample to be a good reflection of the population.

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

    Based on 12,000 responses from 55,000 questionnaires sent to its alumni, a major university estimated that the annual salary of its alumni was $98,500 per year. This sample was collected using random sampling.

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

    A large company would like to know what percentage of its employees would utilize an on-site daycare facility. Each employee is assigned a number from 1 to 5000, and a computer program randomly selects 100 numbers between 1 and 5000. This produces a random sample.

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

    To estimate the percentage of defective items a machine is producing, a quality control analyst inspects the first 100 items produced in a day. This technique produces a random sample.

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

    Study Notes

    Types of Data

    • Quantitative Variables measure numerical characteristics and can be used for calculations.
    • Qualitative Data involves non-numerical categories, such as the colors of cars or native languages of students.
    • Quantitative Data is exemplified by measurable attributes, like the number of seats in a theatre or temperatures of beverages.

    Statistical Measures

    • A Statistic is a summary measure from a sample that provides insight into a characteristic of interest.
    • A Parameter is a numerical summary that describes a specific aspect of an entire population.

    Identifying Parameters and Statistics

    • Average GPAs, survey results, and specific percentages derived from samples can be characterized as statistics or parameters based on their scope (sample vs population).
    • Examples:
      • Average GPA of a graduating class (Parameter)
      • Survey result from a sample of students (Statistic)

    Population and Sample

    • The Population is the complete set of individuals or items from which a sample is drawn (e.g., all American households).
    • The Sample is a subset of the population selected for analysis (e.g., 299 American households surveyed).

    Random Sampling and Validity

    • Random Sampling enhances the representativeness of a sample regarding the population.
    • Methods that rely on random number selection or computer programs contribute to a random sample.
    • False Claims can arise from methods that do not ensure random selection, leading to potential biases.

    Survey Contexts

    • Surveys can yield insights about specific demographics (e.g., UK students selling textbooks).
    • Parameters of interest identified through a targeted survey can guide broader understanding of population behaviors.

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    Description

    Test your understanding of quantitative and qualitative variables with this quiz. Explore how different types of data are classified, using examples from everyday situations. This is a great way to reinforce your knowledge of data classification.

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