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Scale for Rating Food A group of students develops a scale

Elementary Statistics | 12th Edition | ISBN: 9780321836960 | Authors: Mario F. Triola ISBN: 9780321836960 18

Solution for problem 34BB Chapter 1.3

Elementary Statistics | 12th Edition

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Elementary Statistics | 12th Edition | ISBN: 9780321836960 | Authors: Mario F. Triola

Elementary Statistics | 12th Edition

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Problem 34BB

Problem 34BB

Scale for Rating Food A group of students develops a scale for rating the quality of cafeteria food, with 0 representing “neutral: not good and not bad.” Bad meals are given negative numbers and good meals are given positive numbers, with the magnitude of the number corresponding to the degree of badness or goodness. The first three meals are rated as 2, 4, and —5. What is the level of measurement for such ratings? Explain your choice.

Step-by-Step Solution:
Step 1 of 3

Problem 34BB

Answer;

Step1 of 3:

We have A group of students develops a scale for rating the quality of cafeteria food, with 0 representing “neutral: not good and not bad.” Bad meals are given negative numbers and good meals are given positive numbers, with the magnitude of the number corresponding to the degree of badness or goodness. The first three meals are rated as 2, 4, and —5.

Step2 of 3:

We need to determine which of the four levels of measurement (nominal, ordinal, interval, ratio) is most appropriate.

Step3 of 3:

Let us know what is level of measurements

Consider,

Nominal: Nominal scales are used for labeling variables, without any quantitative value.  “Nominal” scales could simply be called “labels.”  

Ordinal: It is the order of the values is what’s important and significant, but the differences between each one is not really known. Ordinal scales are typically measures of non-numeric concepts like satisfaction, happiness, discomfort, etc

Interval:Interval scales are numeric scales in which we know not only the order, but also the exact differences between the values.  The classic example of an interval scale is Celsius temperature because the difference between each value is the same.

ratio:Ratio scales are the ultimate nirvana when it comes to measurement scales because they tell us about the order, they tell us the exact value between units, AND they also have an absolute zero–which allows for a wide range of both descriptive and inferential statistics to be applied.

Rating scales are “ordinal” levels of measurement.As per definition Ordinal scales are typically measures of non-numeric concepts like satisfaction, happiness, discomfort, etc.

Step 2 of 3

Chapter 1.3, Problem 34BB is Solved
Step 3 of 3

Textbook: Elementary Statistics
Edition: 12
Author: Mario F. Triola
ISBN: 9780321836960

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Scale for Rating Food A group of students develops a scale