Question 1

Which of the following best describes the main purpose of statistics?

Accepted Answer

To collect, organize, analyze, and interpret data in order to draw meaningful conclusions.

Question 2

Which of the following is an example of inferential statistics?

Accepted Answer

Estimating the percentage of all university students who prefer online classes based on a survey of 200 students.

Question 3

Which of the following statements about observational studies is correct?

Accepted Answer

Researchers do not impose treatments but simply observe and record characteristics.

Question 4

A pharmaceutical company wants to test the effectiveness of a new drug. They randomly assign patients to receive either the new drug or a placebo and measure their recovery rates. What type of statistical study is this?

Accepted Answer

Designed experiment

Question 5

Which of the following is NOT a function of descriptive statistics?

Accepted Answer

Drawing conclusions about a population based on a sample

Question 6

Suppose a weather report states, 'There is a 20% chance of rain tomorrow.' This statement is an example of:

Accepted Answer

Inferential statistics

Question 7

Which of the following best distinguishes a designed experiment from an observational study?

Accepted Answer

In a designed experiment, researchers impose treatments and controls, while in an observational study, they do not.

Question 8

Which statistician is most closely associated with the development of modern statistics and experimental design?

Accepted Answer

R. A. Fisher

Question 9

A researcher wants to know if a new teaching method improves student performance. She randomly assigns half the class to use the new method and the other half to use the traditional method, then compares their final exam scores. Which statistical approach is she using?

Accepted Answer

Designed experiment

Question 10

Which of the following is a real-world example of descriptive statistics?

Accepted Answer

Reporting that 60% of students in a class are male.

Question 11

Which of the following is a limitation of observational studies?

Accepted Answer

They can reveal only associations, not causation.

Question 12

Suppose you want to estimate the average number of hours college students sleep per night. You survey 100 students and calculate the mean. Which branch of statistics are you using when you use this sample mean to estimate the population mean?

Accepted Answer

Inferential statistics

Question 13

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

Accepted Answer

A population includes all individuals of interest, while a sample is a subset of the population.

Question 14

A study records the favorite candy of every student in a class and reports the results as percentages. What type of statistics is being used?

Accepted Answer

Descriptive statistics

Question 15

Which of the following is a key step in the process of statistics?

Accepted Answer

Compiling, analyzing, and interpreting data

Question 16

A researcher observes the eating habits of children in a cafeteria without interfering. What type of study is this?

Accepted Answer

Observational study

Question 17

Which of the following scenarios best illustrates the use of inferential statistics in a medical context?

Accepted Answer

Using a sample of 500 patients to estimate the effectiveness of a new vaccine for the entire population.

Question 18

Which of the following is NOT a characteristic of a designed experiment?

Accepted Answer

Researchers only observe and do not impose any treatments.

Question 19

Which of the following best describes the role of R. A. Fisher in statistics?

Accepted Answer

He contributed significantly to the development of modern statistics and experimental design.

Question 20

A study finds that students who eat breakfast tend to have higher test scores, but does not assign students to eat or skip breakfast. What type of conclusion can be drawn from this study?

Accepted Answer

There is an association between eating breakfast and higher test scores, but causation cannot be established.

Chapter 1: The Nature of Statistics – Foundations and Classifications

Study Guide - Practice Questions

Study Guide - Flashcards