Chapter 1: Problem 53
Why is the random sample so important in statistics?
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Key Concepts
These are the key concepts you need to understand to accurately answer the question.
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Chapter 1: Problem 53
Why is the random sample so important in statistics?
These are the key concepts you need to understand to accurately answer the question.
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Identify each of the following as examples of (1) attribute (qualitative) or ( 2 ) numerical (quantitative) variables: a. The breaking strength of a given type of string b. The hair color of children auditioning for the musical Annie c. The number of stop signs in towns of fewer than 500 people d. Whether or not a faucet is defective e. The number of questions answered correctly on a standardized test f. The length of time required to answer a telephone call at a certain real estate office
Suppose you are trying to decide which of two machines to purchase. Furthermore, suppose the length to which the machines cut a particular product part is important. If both machines produce parts that have the same length on the average, what other consideration regarding the lengths would be important? Why?
A drug manufacturer is interested in the proportion of persons with hypertension (elevated blood pressure) whose condition can be controlled by a new drug the company has developed. A study involving 5000 individuals with hypertension is conducted, and it is found that \(80 \%\) of the individuals are able to control their hypertension with the drug. Assuming that the 5000 individuals are representative of the group that has hypertension, answer the following questions: a. What is the population? b. What is the sample? c. Identify the parameter of interest. d. Identify the statistic and give its value. e. Do we know the value of the parameter?
A researcher studying the attitudes of parents of preschool children interviews a random sample of 50 mothers, each having one preschool child. He asks each mother, "How many times did you compliment your child yesterday?" He records the answer as \(C\). a. Is \(C=4\) an example of (1) a data value, (2) a statistic, (3) a parameter, (4) a variable, or (5) a sample? b. Give an example of a question that can be answered using the tools of descriptive statistics. c. Give an example of a question that can be answered using the tools of inferential statistics.
Explain why the polls that are so frequently quoted during early returns on Election Day TV coverage are an example of cluster sampling.
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