Q: What is the value of $$5! (5 $$factorial)?

$$5 \times 4 \times 3 \times 2 \times 1 = 120$$

Q: Which of the following best describes the order of operations for the expression $$4 + 2 \times 3$$?

Multiply first, then add: $$4 + (2 \times 3) = 10$$

Question 1

Which of the following best describes the difference between a population and a sample in statistics?

Accepted Answer

A population is the entire group being studied, while a sample is a smaller subgroup selected from the population.

Question 2

A researcher wants to estimate the average height of all students at a university. She randomly selects 100 students and calculates their average height. In this context, what is the statistic?

Accepted Answer

The average height of the 100 selected students.

Question 3

Which of the following variables is best classified as a discrete variable?

Accepted Answer

The number of cars in a parking lot.

Question 4

Which level of measurement is represented by the following data: 'Freshman', 'Sophomore', 'Junior', 'Senior'?

Accepted Answer

Ordinal

Question 5

A researcher divides a city into neighborhoods based on income levels and then randomly selects participants from each neighborhood in proportion to the neighborhood's population. What type of sampling is this?

Accepted Answer

Stratified random sampling

Question 6

Which of the following is an example of a nominal variable?

Accepted Answer

Political party affiliation

Question 7

A researcher selects every 10th person from an alphabetical list of all employees in a company. What type of sampling method is being used?

Accepted Answer

Systematic sampling

Question 8

Which of the following best describes the difference between statistical significance and practical significance?

Accepted Answer

Statistical significance means the result is not likely due to chance, while practical significance means the result is large enough to be of real-world value.

Question 9

Which of the following is the correct way to convert 0.75 to a percentage?

Accepted Answer

$$0.75 	imes 100\% = 75\%$$

Question 10

A researcher interviews the first 10 people she sees at a shopping mall. What type of sampling method is this?

Accepted Answer

Convenience sampling

Question 11

Which of the following is an example of a continuous variable?

Accepted Answer

The weight of a newborn baby

Question 12

What is the value of $$5! (5 $$factorial)?

Accepted Answer

$$5 	imes 4 	imes 3 	imes 2 	imes 1 = 120$$

Question 13

Which of the following is an example of a parameter?

Accepted Answer

The average test score of all students in a school

Question 14

A researcher wants to study the opinions of high-level business executives. She interviews only those executives she can contact. What type of sampling is this?

Accepted Answer

Purposive sampling

Question 15

Which of the following best describes the order of operations for the expression $$4 + 2 	imes 3$$?

Accepted Answer

Multiply first, then add: $$4 + (2 	imes 3) = 10$$

Question 16

Which of the following is an example of a ratio level of measurement?

Accepted Answer

Height in centimeters

Question 17

A researcher divides a population into blocks of equal size, randomly selects some blocks, and includes all members of the selected blocks in the sample. What sampling method is this?

Accepted Answer

Cluster sampling

Question 18

Which of the following best describes a quota sample?

Accepted Answer

A sample where the researcher sets the proportions of certain groups within the sample, regardless of their actual proportion in the population.

Question 19

What is the result of rounding 178.9463 to two decimal places?

Accepted Answer

178.95

Question 20

Which of the following is the correct way to express $$4.56 	imes 10$$^{-4}$$ in standard decimal notation?

Accepted Answer

0.000456

Chapter 1: Introduction to Statistics – Foundational Concepts and Sampling Methods

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