/*! This file is auto-generated */ .wp-block-button__link{color:#fff;background-color:#32373c;border-radius:9999px;box-shadow:none;text-decoration:none;padding:calc(.667em + 2px) calc(1.333em + 2px);font-size:1.125em}.wp-block-file__button{background:#32373c;color:#fff;text-decoration:none} Problem 37 Determine whether the quantitati... [FREE SOLUTION] | 91影视

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Chapter 1: Problem 37

Determine whether the quantitative variable is discrete or continuous. Number of donors at a blood drive

Short Answer

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Discrete

Step by step solution

01

Understand Discrete and Continuous Variables

Discrete variables are countable in a finite amount of time and often represent whole numbers. Continuous variables can take on any value within a given range and are measured rather than counted.
02

Define the Variable

The variable given is the 'Number of donors at a blood drive.' First, consider whether the number of donors can be counted or measured.
03

Analyze the Characteristics

Count the donors at the blood drive. Since you can count the number of donors directly and they cannot be divided into fractions, this characteristic aligns with a discrete variable.
04

Determine the Type

Based on the analysis, the 'Number of donors at a blood drive' is a discrete variable. It represents whole numbers and cannot take fractional values.

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Key Concepts

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

quantitative variable
Quantitative variables are types of variables that represent measurable quantities. These values are numeric and can be quantified. They provide numerical data that can be ordered or ranked. Examples include height, weight, and age. Quantitative variables are different from qualitative variables, which describe categories or qualities and cannot be numerically measured.

Quantitative variables are divided further into discrete and continuous variables. This distinction helps in understanding how the data can be used and analyzed.
discrete variable
Discrete variables are a type of quantitative variable. They represent countable quantities, often whole numbers. You can think of them as variables that take specific, distinct values with gaps between them. For example, the number of students in a class, the number of cars in a parking lot, or the number of donors at a blood drive are all discrete variables.
A key characteristic of discrete variables is that they do not take on fractional or decimal values. If you count items or events, you are dealing with a discrete variable. Discrete variables are usually used in scenarios where data can be counted in finite steps.
continuous variable
Continuous variables are another type of quantitative variable. They represent measurable quantities that can take any value within a given range. For example, height, weight, and temperature are continuous variables. They can take on an infinite number of values between any two values. This is because they are not restricted to whole numbers; they can include fractions and decimals.

Continuous variables are usually obtained through measurement and can be represented with precision. When data can take on any value within a range and can be divided into smaller parts, it is considered continuous.
data type classification
Data type classification helps to categorize data into different types based on its properties and use cases. The primary data classifications are Qualitative and Quantitative.

Qualitative (or categorical) data represent qualities or characteristics and cannot be numerically quantified. They are used to describe attributes or categories like colors, names, or types of items.

Quantitative data is numeric and can be quantified. Further, quantitative data is classified into discrete and continuous variables.
  • Discrete variables are countable and represent whole numbers, like the number of books on a shelf.
  • Continuous variables can take any value within a range and are measured, such as the length of a book.
Understanding these classifications is essential for proper data analysis and interpretation.

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Most popular questions from this chapter

A marketing executive for Coca-Cola Inc., wants to identify television shows that people in the Boston area who typically drink Coke are watching. The executive has a list of all households in the Boston area. Design a sampling method to obtain the individuals in the sample. Be sure to support your choice.

For the studies in Problems \(45-50,\) (a) identify the research objective, (b) identify the sample, (c) list the descriptive statistics, and (d) state the conclusions made in the study. The Mozart Effect Researchers at the University of California, Irvine, wished to determine whether "music cognition and cognitions pertaining to abstract operations such as mathematical or spatial reasoning" were related. To test the research question, 36 college students listened to Mozart's Sonata for Two Pianos in D Major, K488, for 10 minutes and then took a spatial reasoning test using the Stanford-Binet intelligence scale. The same students also took the test after sitting in a room for 10 minutes in complete silence. Whether the student experienced Mozart first or silence first was randomly determined. The average score on the test following the Mozart piece was \(119,\) while the average test score following the silence was 110. The researchers concluded that subjects performed better on abstract and spatial reasoning tests after listening to Mozart. (Source: "Music and Spatial Performance," Frances H. Rauscher et al.; Nature 365,14 October 1993: 611 )

Researchers wanted to evaluate whether ginkgo, an over-the-counter herb marketed as enhancing memory, improves memory in elderly adults as measured by objective tests. To do this, they recruited 98 men and 132 women older than 60 years and in good health. Participants were randomly assigned to receive ginkgo, \(40 \mathrm{mg} 3\) times per day, or a matching placebo. The measure of memory improvement was determined by a standardized test of learning and memory. After 6 weeks of treatment, the data indicated that ginkgo did not increase performance on standard tests of learning, memory, attention, and concentration. These data suggest that, when taken following the manufacturer's instructions, ginkgo provides no measurable increase in memory or related cognitive function to adults with healthy cognitive function. (Source: "Ginkgo for Memory Enhancement," Paul R. Solomon, et. al.; Journal of the American Medical Association 288(2002): 835-840)$ (a) What type of experimental design is this? (b) What is the population being studied? (c) What is the response variable in this study? (d) What is the factor? What are the treatments? (e) Identify the experimental units. (f) Draw a diagram similar to Figure 6 or 7 to illustrate the design.

For the studies in Problems \(45-50,\) (a) identify the research objective, (b) identify the sample, (c) list the descriptive statistics, and (d) state the conclusions made in the study. Favorite Presidents A poll commissioned by Washington College and conducted by Schulman, Ronca, and Bucuvalas, February \(7-10,2005,\) surveyed 800 U.S. adults. Asked who was the greatest president, \(20 \%\) of respondents chose Abraham Lincoln, \(15 \%\) Ronald Reagan, \(12 \%\) Franklin Roosevelt, \(11 \%\) John \(\mathrm{F}\). Kennedy, \(10 \%\) Bill Clinton, \(8 \%\) George W. Bush, and \(6 \%\) George Washington. The remaining \(18 \%\) selected other presidents. Washington College concluded that Abraham Lincoln ranks first among U.S. adults as the greatest president. (Source: Associated Press, Feb. 22, 2005)

The Future Government Club wants to sponsor a panel discus? sion on the upcoming national election. The club wants to have four of its members lead the panel discussion. To be fair, however, the panel should consist of two Democrats and two Republicans. Below is a list of the Democrats and Republicans who are currently members of the club. Obtain a stratified sample of two Democrats and two Republicans to serve on the panel.
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