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 500 employees in the United States and finds that 60% are satisfied with their jobs. What is the sample in this scenario?

Accepted Answer

The 500 employees surveyed.

Question 3

Which of the following is an example of a parameter?

Accepted Answer

The average salary of all employees at a company.

Question 4

Suppose a study finds that the average math score of 5,000 randomly selected high school students is 74. Which of the following best describes this value?

Accepted Answer

A statistic, because it is based on a sample.

Question 5

Which of the following statements best distinguishes between descriptive and inferential statistics?

Accepted Answer

Descriptive statistics summarize data; inferential statistics use data to draw conclusions about a population.

Question 6

A company wants to know the average number of hours employees work per week. They survey all employees and find the average is 37.5 hours. What type of value is 37.5?

Accepted Answer

A parameter, because it describes the entire population.

Question 7

Which of the following is an example of inferential statistics?

Accepted Answer

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

Question 8

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

Accepted Answer

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

Question 9

A health organization collects data on the number of flu cases in five cities. Which branch of statistics are they using if they only summarize the data?

Accepted Answer

Descriptive statistics

Question 10

Which of the following best describes a population in statistics?

Accepted Answer

All subjects or items of interest in a study.

Question 11

A researcher wants to estimate the average height of all university students. She measures the height of 200 randomly selected students and calculates the average. What is the correct term for this average?

Accepted Answer

Statistic

Question 12

Which of the following is NOT a step in the process of statistics?

Accepted Answer

Ignoring outliers in the data.

Question 13

A study reports that 52% of a sample of 1,000 adults prefer online shopping. Which of the following is an inferential statement?

Accepted Answer

We estimate that about 52% of all adults prefer online shopping.

Question 14

Which formula would you use to calculate the mean of a sample?

Accepted Answer

$$\overline{x} = \frac{\sum x_i}{n}$$

Question 15

Which of the following best describes a sample?

Accepted Answer

A subset of the population selected for study.

Introduction to Statistics: Key Concepts and Applications

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