Q: Which of the following equations correctly represents the relationship between a population and a sample?

$$\text{Sample} \subset \text{Population}$$

Question 1

Which of the following best defines statistics?

Accepted Answer

The science of collecting, organizing, analyzing, and interpreting data to make decisions.

Question 2

A researcher surveys 1,200 college students to determine their average weekly study hours. The group of 1,200 students is best described as:

Accepted Answer

A sample

Question 3

Which of the following is an example of a population parameter?

Accepted Answer

The average height of all adult women in the United States

Question 4

Suppose a study reports that 40% of a sample of 2,000 registered voters support a new policy. What is the 40% value called?

Accepted Answer

A sample statistic

Question 5

Which of the following statements best describes inferential statistics?

Accepted Answer

Using sample data to draw conclusions about a population

Question 6

A company wants to know the average salary of all its employees. It surveys 50 employees and finds an average salary of $55,000. Which of the following is true?

Accepted Answer

The $55,000 is a sample statistic.

Question 7

Which of the following is NOT an example of data?

Accepted Answer

A hypothesis about the effect of exercise on health

Question 8

In a study, researchers found that 25% of a sample of 800 high school students reported eating breakfast daily. What is the population in this context?

Accepted Answer

All high school students

Question 9

Which of the following best describes descriptive statistics?

Accepted Answer

Summarizing and displaying data using tables, charts, and averages

Question 10

A study of 1,000 patients found that 60% reported improved symptoms after taking a new medication. Which part of this study is inferential?

Accepted Answer

Concluding that the medication will improve symptoms for all patients

Question 11

Which of the following equations correctly represents the relationship between a population and a sample?

Accepted Answer

$$	ext{Sample} \subset 	ext{Population}$$

Question 12

A survey of 500 randomly selected households found that the average number of pets per household is 1.8. What is this value an example of?

Accepted Answer

A sample statistic

Question 13

Which of the following is an example of using inferential statistics in a real-world scenario?

Accepted Answer

Predicting the outcome of a national election based on a poll of 1,000 voters

Question 14

If $$\mu$$ represents the mean of a population and $$\bar{x}$$ represents the mean of a sample, which of the following is true?

Accepted Answer

$$\mu is a $$parameter and $$\bar{x} is a $$statistic.

Question 15

A researcher wants to estimate the average commute time for all workers in a city. She collects data from 300 randomly selected workers. Which of the following best describes her approach?

Accepted Answer

She is using a sample to make an inference about a population.

Question 16

Which of the following is a correct statement about parameters and statistics?

Accepted Answer

Parameters describe populations, while statistics describe samples.

Question 17

A study finds that 70% of a sample of 1,500 adults prefer online shopping. Which of the following is a possible inferential conclusion?

Accepted Answer

Most adults in the population may prefer online shopping.

Question 18

Which of the following best illustrates the use of descriptive statistics?

Accepted Answer

Reporting that the average test score in a class of 30 students is 82%

Question 19

A nutritionist collects data on the daily calorie intake of 100 randomly selected adults. She calculates the mean and standard deviation. Which branch of statistics is she using?

Accepted Answer

Descriptive statistics

Question 20

Which of the following is the correct formula for the sample mean $$\bar{x}$$ given $$n$$ observations $$x_1$$, $$x_2$$, ..., x_n$$?

Accepted Answer

$$\bar{x} = \frac{1}{n} \sum_{i=1}^{n} x_i$$

Chapter 1: Introduction to Statistics - Study Notes

Study Guide - Practice Questions

Study Guide - Flashcards