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91Ó°ÊÓ

A national survey asked 1261 U.S. adult fast-food customers which meal (breakfast, lunch, dinner, snack) they ordered. (a) Identify the variable. (b) Is the variable quantitative or qualitative? (c) What is the implied population?

Short Answer

Expert verified
(a) Meal ordered; (b) Qualitative; (c) U.S. adult fast-food customers.

Step by step solution

01

Identifying the Variable

The variable in a survey represents the particular attribute of the population that is being measured or observed. In this exercise, the survey is asking U.S. adult fast-food customers which meal they ordered. Therefore, the variable is 'meal ordered.'
02

Determining the Type of Variable

Variables can be either quantitative or qualitative. Quantitative variables are numerical and measure quantities, while qualitative variables categorize or describe attributes. Since the 'meal ordered' describes a category (breakfast, lunch, dinner, or snack) and is not numerical, it is a qualitative variable.
03

Identifying the Implied Population

The implied population is the entire group we are interested in studying, from which the sample is drawn. Here, the survey targets U.S. adult fast-food customers, making them the implied population. Thus, the implied population is all U.S. adults who purchase fast-food.

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Key Concepts

These are the key concepts you need to understand to accurately answer the question.

Survey Analysis
Conducting a survey is a valuable method to gather information about a specific group or population. Surveys help in understanding different patterns, behaviors, and preferences within your target audience. In the given exercise, the survey questions U.S. adult fast-food customers on their meal choices. This process is called survey analysis.
Survey analysis involves several key steps:
  • Defining objectives - Clearly state what you want to learn. For instance, understanding meal preference among fast-food customers.
  • Choosing a sample - Select a group of people from the population to represent the broader group. Here, 1261 adult fast-food customers were surveyed.
  • Designing the survey - Create questions that are clear, concise, and relevant. The question about the meal ordered is straightforward.
  • Collecting data - Conduct the survey during a particular time frame and record the responses.
  • Analyzing results - Examine the responses to understand trends or patterns, such as which meals are most popular.
Survey analysis provides insights that can support decision-making processes in businesses and research.
Qualitative Variables
In statistics, variables can be classified as quantitative or qualitative based on their characteristics. Qualitative variables, also known as categorical variables, describe categories or qualities that don't have numeric values.
In the exercise, 'meal ordered' is a qualitative variable. It categorizes customer preferences into groups such as breakfast, lunch, dinner, or snack. This classification helps in identifying trends and making comparative analysis across categories.
  • Nominal variables - These are variables without a specific order. For example, 'meal ordered' doesn't suggest a hierarchy.
  • Ordinal variables - These variables do have a specific order, like a satisfaction rating from 1 to 10.
Identifying qualitative variables allows researchers to apply appropriate statistical methods like chi-square tests, which evaluate the association between two qualitative variables. Understanding the nature of your variable is essential for accurate data analysis and interpretation.
Population Identification
Population identification is a critical part of research that involves determining the group of individuals you're interested in studying. The population includes everyone you want to understand or draw conclusions about.
In our exercise, the survey specifically targets U.S. adult fast-food customers, meaning the population is all adults in the U.S. who patronize fast-food outlets.
This identification affects how broadly you can extend the survey results. When identifying a population, consider:
  • Specificity - Define the group accurately to avoid ambiguity. Here, it’s clear with 'U.S. adult fast-food customers.'
  • Relevance - Ensure the population aligns with the research goals. For instance, fast-food businesses might use it to tailor marketing strategies.
  • Sampling - Since it's impractical to survey everyone, a representative sample is selected.
Accurate population identification sets the foundation for meaningful insights and generalizations about the broader group. It guides sampling and helps ensure your conclusions are valid.

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