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Ch. 1 - Introduction to Statistics
Triola - Elementary Statistics 14th Edition
Triola14th EditionElementary StatisticsISBN: 9780137366446Non è quello che usi tu?Cambia libro di testo
Tutti i libri di testoTriola 14th EditionCh. 1 - Introduction to StatisticsProblema 1.2.4.c
Capitolo 1, Problema 1.2.4.c

E-Cigarette Survey In a survey of 36,000 adults, 3.7% said that they regularly use E-cigarettes (based on data from the National Center for Health Statistics)


c. What is the level of measurement of the value of 3.7%? (nominal, ordinal, interval, ratio)

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Understand the four levels of measurement: nominal, ordinal, interval, and ratio. Nominal involves categories without a specific order, ordinal involves categories with a specific order, interval involves numerical values with meaningful differences but no true zero, and ratio involves numerical values with meaningful differences and a true zero.
Identify the type of data represented by the percentage 3.7%. This percentage represents a proportion of the surveyed population that regularly uses E-cigarettes.
Consider whether the percentage 3.7% can be categorized, ordered, or measured with meaningful differences and a true zero point.
Recognize that percentages are numerical values that can be compared with meaningful differences and have a true zero point (0% means none of the population uses E-cigarettes).
Conclude that the level of measurement for the value 3.7% is 'ratio' because it is a numerical value with a true zero point and meaningful differences.

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Levels of Measurement

Levels of measurement refer to the different ways in which variables can be categorized and quantified. There are four primary levels: nominal, ordinal, interval, and ratio. Each level has distinct characteristics that determine how data can be analyzed and interpreted. Understanding these levels is crucial for selecting appropriate statistical methods and accurately interpreting results.
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Critical Values: z Scores

Ratio Level of Measurement

The ratio level of measurement is the highest level of measurement, characterized by the presence of a true zero point and the ability to perform meaningful mathematical operations. In this level, both differences and ratios between values are meaningful. For example, a percentage like 3.7% can be interpreted in terms of proportions, making it a ratio measurement since it can be compared to zero (indicating no usage).
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Percentage as a Measurement

A percentage is a way of expressing a number as a fraction of 100, which allows for easy comparison across different groups or categories. In the context of survey data, percentages help quantify the prevalence of a characteristic, such as E-cigarette usage. Understanding how to interpret percentages is essential for analyzing survey results and making informed conclusions about the population being studied.
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Visualizing Qualitative vs. Quantitative Data
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Sampling Method Assume that the population consists of all students currently in your statistics class. Describe how to obtain a sample of six students so that the result is a sample of the given type.


e. Convenience sample

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Domanda del libro di testo

Discrete/Continuous Data Which of the following describe discrete data

c. The exact times that randomly selected students spend on smart phones during the preceding week

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Domanda del libro di testo

Countable For each of the following, categorize the nature of the data using one of these three descriptions: (1) discrete because the number of possible values is finite; (2) discrete because the number of possible values is infinite but countable; (3) continuous because the number of possible values is infinite and not countable.

c. The number of albums sold by the Monkees band

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Domanda del libro di testo

Sampling Method Assume that the population consists of all students currently in your statistics class. Describe how to obtain a sample of six students so that the result is a sample of the given type.


d. Cluster sample

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Domanda del libro di testo

Sampling Method Assume that the population consists of all students currently in your statistics class. Describe how to obtain a sample of six students so that the result is a sample of the given type.


c. Stratified sample

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