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Chapter 8: Problem 3

For each of the following statements, identify the number that appears in boldface type as the value of either a population characteristic or a statistic: a. A department store reports that \(84 \%\) of all customers who use the store's credit plan pay their bills on time. b. A sample of 100 students at a large university had a mean age of \(24.1\) years. c. The Department of Motor Vehicles reports that \(22 \%\) of all vehicles registered in a particular state are imports. d. A hospital reports that based on the 10 most recent cases, the mean length of stay for surgical patients is \(6.4\) days. e. A consumer group, after testing 100 batteries of a certain brand, reported an average life of 63 hours of use.

Short Answer

Expert verified
a. Population characteristic, b. Statistic, c. Population characteristic, d. Statistic, e. Statistic.

Step by step solution

01

Classification of the statement a.

The first statement tells us that \(84 \%\) of all customers who use the store's credit plan pay their bills on time. The store most likely keeps records of all its customers, so this is not a mere sample, it's counting all customers. Therefore, this \(84\%\) is a population characteristic.
02

Classification of the statement b.

The statement is based on a sample of 100 students at a large university. Hence, the number \(24.1\) years is a statistic because it's calculated from a sample, and not from the whole population.
03

Classification of the statement c.

The Department of Motor Vehicles tells us about every vehicle registered in a particular state, not just a sample of them. That makes the \(22\%\) a population characteristic.
04

Classification of the statement d.

The fourth statement is based on the 10 most recent cases, a sample of the surgical patients. Therefore, the \(6.4\) days is a statistic.
05

Classification of the statement e.

This consumer group tested 100 batteries (not every battery of the certain brand). Therefore, the 63 hours of use should be considered a statistic, as it is an average computed from a sample.

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Most popular questions from this chapter

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