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Chapter 1: Problem 30

Determine whether the quantitative variable is discrete or continuous. Air pressure in pounds per square inch in an automobile tire

Short Answer

Expert verified
Continuous

Step by step solution

01

- Understand Discrete and Continuous Variables

Discrete variables are countable in a finite amount of time and take on distinct, separate values. Continuous variables, on the other hand, can take on any value within a given range and are not countable in a finite amount of time.
02

- Evaluate the Variable

Air pressure in pounds per square inch (psi) can take on any value within a range. It is measured and can have decimal values, for example, 30.2 psi, 30.3 psi, 30.35 psi, etc.
03

- Determine the Nature of the Variable

Since air pressure can take on any value within a range and is measured with decimal precision, it is a continuous variable.

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Key Concepts

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

headline of the respective core concept
Quantitative variables are a key aspect of statistics and measurement. These variables express information with numerical values. There are two main categories of quantitative variables: discrete and continuous.
  • Discrete variables: These are countable and take distinct, separate values. Examples include the number of students in a class or the number of cars in a parking lot.
  • Continuous variables: These can take any value within a range and are measured, not counted. For instance, height, weight, and temperature are continuous variables.
Understanding the difference between discrete and continuous variables is crucial for accurately interpreting data and performing statistical analysis.
headline of the respective core concept
Air pressure measurement is an essential aspect of various fields, especially in automotive and meteorological applications. Air pressure is typically measured in pounds per square inch (psi). This measurement indicates the force exerted by the air within a specified area.
  • Automotive air pressure: Checking and maintaining the correct air pressure in tires ensures safety, improves fuel efficiency, and extends tire life.
  • Precision: Air pressure can be measured to decimal points, for instance, 32.5 psi, 32.55 psi, ensuring accurate readings.
Given that air pressure can take on any value within a range and needs precise measurement, it is categorized as a continuous variable.
headline of the respective core concept
Variables are fundamental concepts in statistics and research, and they can be classified in various ways. Here, we will focus on types of variables: qualitative and quantitative.
  • Qualitative variables: These describe qualities or characteristics and are often non-numeric. Examples include colors, names, and types of cuisine.
  • Quantitative variables: These express information numerically and can be discrete or continuous. The primary distinction between them is that discrete variables are countable, while continuous variables are measurable and can take any value within a range.
Understanding these types of variables helps in designing experiments, collecting data, and interpreting results effectively.

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Most popular questions from this chapter

A research objective is presented. For each, identify the population and sample in the study. A quality-control manager randomly selects 50 bottles of Coca-Cola that were filled on October 15 to assess the calibration of the filling machine.

To help assess student learning in her developmental math courses, a mathematics professor at a community college implemented pre- and posttests for her students. A knowledge-gained score was obtained by taking the difference of the two test scores. (a) What type of experimental design is this? (b) What is the response variable in this experiment? (c) What is the treatment?

Distinguish between nonsampling error and sampling error.

What is an observational study? What is a designed experiment? Which allows the researcher to claim causation between an explanatory variable and a response variable?

True or False: Generally, the goal of an experiment is to determine the effect that treatments will have on the response variable.
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