Textbook Question
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)
b. Is the value of 3.7% a statistic or parameter?
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Ch. 1 - Introduction to Statistics
Triola14th EditionElementary StatisticsISBN: 9780137366446
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Table of contents
- Ch. 1 - Introduction to Statistics88
- Ch. 2 - Exploring Data with Tables and Graphs70
- Ch. 3 - Describing, Exploring, and Comparing Data66
- Ch. 4 - Probability112
- Ch. 5 - Discrete Probability Distributions109
- Ch. 6 - Normal Probability Distributions122
- Ch. 7 - Estimating Parameters and Determining Sample Sizes107
- Ch. 8 - Hypothesis Testing75
- Ch. 9 - Inferences from Two Samples94
- Ch. 10 - Correlation and Regression80
- Ch. 11 - Goodness-of-Fit and Contingency Tables29
- Ch. 12 - Analysis of Variance42
Chapter 1, Problem 1.2.2.1
Quantitative/Categorical Data Identify each of the following as quantitative data or categorical data.
a. The platelet counts in Data Set 1 “Body Data” in Appendix B
Verified step by step guidance1
Understand the difference between quantitative and categorical data: Quantitative data represents numerical values that can be measured or counted (e.g., height, weight, age), while categorical data represents labels or categories (e.g., gender, blood type, color).
Examine the variable in question: The problem refers to 'platelet counts' in a dataset. Platelet counts are numerical values that represent the number of platelets in a given volume of blood.
Determine if the data is numerical or categorical: Since platelet counts are measured as numbers and can be used for mathematical operations (e.g., finding the mean or standard deviation), they are numerical in nature.
Classify the data type: Based on the numerical nature of platelet counts, this data is classified as quantitative data.
Conclude the classification: The platelet counts in Data Set 1 'Body Data' are an example of quantitative data because they represent measurable numerical values.
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Key Concepts
Here are the essential concepts you must grasp in order to answer the question correctly.
Quantitative Data
Quantitative data refers to numerical information that can be measured and expressed mathematically. This type of data allows for statistical analysis and can be used to calculate averages, variances, and other statistical measures. Examples include measurements like height, weight, and platelet counts, which can take on a range of values.
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Visualizing Qualitative vs. Quantitative Data
Categorical Data
Categorical data represents characteristics or qualities that can be divided into distinct groups or categories. Unlike quantitative data, it does not involve numerical values but rather labels or names that describe attributes. Examples include gender, blood type, or types of diseases, where the data can be classified but not measured numerically.
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Data Classification
Data classification is the process of organizing data into categories based on shared characteristics. In statistics, understanding whether data is quantitative or categorical is crucial for selecting appropriate analytical methods. This classification helps in determining how to visualize the data, perform statistical tests, and interpret results effectively.
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Related Practice
Textbook Question
In Exercises 25–28, refer to the data in the table below. The entries are for five different years, and they consist of weights (metric tons) of lemons imported from Mexico and U.S. car crash fatality rates per 100,000 population [based on data from “The Trouble with QSAR (or How I Learned to Stop Worrying and Embrace Fallacy)” by Stephen Johnson, Journal of Chemical Information and Modeling, Vol. 48, No. 1].
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Conclusion If we were to use the sample data and conclude that there is a correlation or association between lemon imports and crash fatality rates, does it follow that lemon imports are the cause of fatal crashes?
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Textbook Question
In Exercises 9–12, determine whether the sampling method appears to be sound or is flawed.
Nuclear Power Plants In a survey of 1368 subjects, the following question was posted on the USA Today website: “In your view, are nuclear plants safe?” The survey subjects were Internet users who chose to respond to the question posted on the electronic edition of USA Today.
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Textbook Question
In Exercises 21–24, refer to the sample of body temperatures (degrees Fahrenheit) in the table below. (The body temperatures are from Data Set 5 in Appendix B.)
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Conclusion Given the body temperatures in the table, what issue can be addressed by conducting a statistical analysis of the data?
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Textbook Question
In Exercises 37–44, answer the given questions, which are related to percentages.
Marriage Proposals In a survey conducted by TheKnot.com, 1165 engaged or married women were asked about the importance of a bended knee when making a marriage proposal. Among the 1165 respondents, 48% said that the bended knee was essential.
a. What is the exact value that is 48% of 1165 survey respondents?
b. Could the result from part (a) be the actual number of survey subjects who said that a bended knee is essential? Why or why not?
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Textbook Question
In Exercises 33–36, identify which of these designs is most appropriate for the given experiment: completely randomized design, randomized block design, or matched pairs design.
Lunesta Lunesta is a drug designed to treat insomnia. In a clinical trial of Lunesta, amounts of sleep each night are measured before and after subjects have been treated with the drug.
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